Index A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | V | Z A abelian_variety() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method) (sage.modular.abvar.homology.Homology_abvar method) (sage.modular.abvar.homspace.EndomorphismSubring method) (sage.modular.abvar.lseries.Lseries method) (sage.modular.abvar.torsion_subgroup.QQbarTorsionSubgroup method) AbelianVariety() (in module sage.modular.abvar.constructor) action_on_homology() (sage.modular.abvar.morphism.HeckeOperator method) ambient_hecke_module() (sage.modular.abvar.homology.Homology_abvar method) (sage.modular.abvar.homology.Homology_submodule method) ambient_morphism() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) ambient_variety() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.abvar_ambient_jacobian.ModAbVar_ambient_jacobian_class method) B base_extend() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) base_field() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) brandt_module() (sage.modular.abvar.abvar.ModularAbelianVariety_modsym method) C calculate_generators() (sage.modular.abvar.homspace.Homspace method) change_ring() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) characteristic_polynomial() (sage.modular.abvar.morphism.HeckeOperator method) charpoly() (sage.modular.abvar.morphism.HeckeOperator method) cokernel() (sage.modular.abvar.morphism.Morphism_abstract method) complement() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) complementary_isogeny() (sage.modular.abvar.morphism.Morphism_abstract method) component_group_order() (sage.modular.abvar.abvar.ModularAbelianVariety_modsym method) conductor() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) cuspidal_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) CuspidalSubgroup (class in sage.modular.abvar.cuspidal_subgroup) CuspidalSubgroup_generic (class in sage.modular.abvar.cuspidal_subgroup) D decomposition() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method) (sage.modular.abvar.abvar_ambient_jacobian.ModAbVar_ambient_jacobian_class method) degen_t() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) degeneracy_map() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.abvar_ambient_jacobian.ModAbVar_ambient_jacobian_class method) DegeneracyMap (class in sage.modular.abvar.morphism) degree() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) dimension() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method) (sage.modular.abvar.abvar_ambient_jacobian.ModAbVar_ambient_jacobian_class method) direct_product() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) discriminant() (sage.modular.abvar.homspace.EndomorphismSubring method) divisor_of_order() (sage.modular.abvar.torsion_subgroup.RationalTorsionSubgroup method) dual() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) E Element (sage.modular.abvar.finite_subgroup.FiniteSubgroup attribute) (sage.modular.abvar.homspace.Homspace attribute) (sage.modular.abvar.torsion_subgroup.QQbarTorsionSubgroup attribute) elliptic_curve() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) endomorphism_ring() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.abvar_newform.ModularAbelianVariety_newform method) EndomorphismSubring (class in sage.modular.abvar.homspace) exponent() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method) F factor_modsym_space_new_factors() (in module sage.modular.abvar.abvar) factor_new_space() (in module sage.modular.abvar.abvar) factor_number() (sage.modular.abvar.abvar_newform.ModularAbelianVariety_newform method) factor_out_component_group() (sage.modular.abvar.morphism.Morphism_abstract method) fcp() (sage.modular.abvar.morphism.HeckeOperator method) field_of_definition() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method) (sage.modular.abvar.torsion_subgroup.QQbarTorsionSubgroup method) finite_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) FiniteSubgroup (class in sage.modular.abvar.finite_subgroup) FiniteSubgroup_lattice (class in sage.modular.abvar.finite_subgroup) free_module() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.homology.Homology_abvar method) (sage.modular.abvar.homology.Homology_submodule method) (sage.modular.abvar.homspace.Homspace method) frobenius_polynomial() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) G gen() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method) (sage.modular.abvar.homology.Homology_abvar method) (sage.modular.abvar.homspace.Homspace method) gens() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method) (sage.modular.abvar.homology.Homology_abvar method) (sage.modular.abvar.homspace.Homspace method) group() (sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method) (sage.modular.abvar.abvar_ambient_jacobian.ModAbVar_ambient_jacobian_class method) groups() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method) (sage.modular.abvar.abvar_ambient_jacobian.ModAbVar_ambient_jacobian_class method) H hecke_bound() (sage.modular.abvar.homology.Homology_abvar method) (sage.modular.abvar.homology.Homology_submodule method) hecke_matrix() (sage.modular.abvar.homology.Homology_abvar method) (sage.modular.abvar.homology.Homology_over_base method) (sage.modular.abvar.homology.Homology_submodule method) (sage.modular.abvar.homology.IntegralHomology method) (sage.modular.abvar.homology.RationalHomology method) hecke_operator() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) hecke_polynomial() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.homology.Homology method) (sage.modular.abvar.homology.IntegralHomology method) (sage.modular.abvar.homology.RationalHomology method) HeckeOperator (class in sage.modular.abvar.morphism) Homology (class in sage.modular.abvar.homology) homology() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) Homology_abvar (class in sage.modular.abvar.homology) Homology_over_base (class in sage.modular.abvar.homology) Homology_submodule (class in sage.modular.abvar.homology) Homspace (class in sage.modular.abvar.homspace) I identity() (sage.modular.abvar.homspace.Homspace method) image() (sage.modular.abvar.morphism.Morphism_abstract method) image_of_hecke_algebra() (sage.modular.abvar.homspace.EndomorphismSubring method) in_same_ambient_variety() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) index() (sage.modular.abvar.morphism.HeckeOperator method) index_in() (sage.modular.abvar.homspace.EndomorphismSubring method) index_in_saturation() (sage.modular.abvar.homspace.EndomorphismSubring method) integral_homology() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) IntegralHomology (class in sage.modular.abvar.homology) intersection() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.finite_subgroup.FiniteSubgroup method) invariants() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method) is_ambient() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method) is_hecke_stable() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) is_isogeny() (sage.modular.abvar.morphism.Morphism_abstract method) is_J0() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) is_J1() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) is_ModularAbelianVariety() (in module sage.modular.abvar.abvar) is_rational_cusp_gamma0() (in module sage.modular.abvar.cuspidal_subgroup) is_simple() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) is_subgroup() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method) is_subvariety() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method) is_subvariety_of_ambient_jacobian() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) isogeny_number() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) J J0() (in module sage.modular.abvar.constructor) J1() (in module sage.modular.abvar.constructor) JH() (in module sage.modular.abvar.constructor) K kernel() (sage.modular.abvar.morphism.Morphism_abstract method) L label() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.abvar_newform.ModularAbelianVariety_newform method) lattice() (sage.modular.abvar.abvar.ModularAbelianVariety method) (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method) (sage.modular.abvar.cuspidal_subgroup.CuspidalSubgroup method) (sage.modular.abvar.cuspidal_subgroup.RationalCuspidalSubgroup method) (sage.modular.abvar.cuspidal_subgroup.RationalCuspSubgroup method) (sage.modular.abvar.finite_subgroup.FiniteSubgroup method) (sage.modular.abvar.finite_subgroup.FiniteSubgroup_lattice method) (sage.modular.abvar.torsion_subgroup.RationalTorsionSubgroup method) level() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) lratio() (sage.modular.abvar.lseries.Lseries_complex method) Lseries (class in sage.modular.abvar.lseries) lseries() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) Lseries_complex (class in sage.modular.abvar.lseries) Lseries_padic (class in sage.modular.abvar.lseries) M matrix() (sage.modular.abvar.morphism.HeckeOperator method) matrix_space() (sage.modular.abvar.homspace.Homspace method) ModAbVar_ambient_jacobian() (in module sage.modular.abvar.abvar_ambient_jacobian) ModAbVar_ambient_jacobian_class (class in sage.modular.abvar.abvar_ambient_jacobian) modsym_lattices() (in module sage.modular.abvar.abvar) modular_degree() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) modular_kernel() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) modular_symbols() (sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method) ModularAbelianVariety (class in sage.modular.abvar.abvar) ModularAbelianVariety_abstract (class in sage.modular.abvar.abvar) ModularAbelianVariety_modsym (class in sage.modular.abvar.abvar) ModularAbelianVariety_modsym_abstract (class in sage.modular.abvar.abvar) ModularAbelianVariety_newform (class in sage.modular.abvar.abvar_newform) module sage.modular.abvar.abvar sage.modular.abvar.abvar_ambient_jacobian sage.modular.abvar.abvar_newform sage.modular.abvar.constructor sage.modular.abvar.cuspidal_subgroup sage.modular.abvar.finite_subgroup sage.modular.abvar.homology sage.modular.abvar.homspace sage.modular.abvar.lseries sage.modular.abvar.morphism sage.modular.abvar.torsion_subgroup Morphism (class in sage.modular.abvar.morphism) Morphism_abstract (class in sage.modular.abvar.morphism) multiple_of_order() (sage.modular.abvar.torsion_subgroup.RationalTorsionSubgroup method) multiple_of_order_using_frobp() (sage.modular.abvar.torsion_subgroup.RationalTorsionSubgroup method) N n() (sage.modular.abvar.morphism.HeckeOperator method) new_subvariety() (sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method) newform() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.abvar_newform.ModularAbelianVariety_newform method) newform_decomposition() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.abvar_ambient_jacobian.ModAbVar_ambient_jacobian_class method) newform_label() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) newform_level() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) ngens() (sage.modular.abvar.homspace.Homspace method) number_of_rational_points() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) O old_subvariety() (sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method) order() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method) (sage.modular.abvar.torsion_subgroup.RationalTorsionSubgroup method) P padic_lseries() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) possible_orders() (sage.modular.abvar.torsion_subgroup.RationalTorsionSubgroup method) power_series() (sage.modular.abvar.lseries.Lseries_padic method) prime() (sage.modular.abvar.lseries.Lseries_padic method) project_to_factor() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) projection() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) Q qbar_torsion_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) QQbarTorsionSubgroup (class in sage.modular.abvar.torsion_subgroup) quotient() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) R random_hecke_operator() (in module sage.modular.abvar.abvar) rank() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.homology.Homology_abvar method) (sage.modular.abvar.homology.Homology_submodule method) rational_cusp_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) rational_cuspidal_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) rational_homology() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) rational_part() (sage.modular.abvar.lseries.Lseries_complex method) rational_torsion_order() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) rational_torsion_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) RationalCuspidalSubgroup (class in sage.modular.abvar.cuspidal_subgroup) RationalCuspSubgroup (class in sage.modular.abvar.cuspidal_subgroup) RationalHomology (class in sage.modular.abvar.homology) RationalTorsionSubgroup (class in sage.modular.abvar.torsion_subgroup) restrict_domain() (sage.modular.abvar.morphism.Morphism method) S sage.modular.abvar.abvar module sage.modular.abvar.abvar_ambient_jacobian module sage.modular.abvar.abvar_newform module sage.modular.abvar.constructor module sage.modular.abvar.cuspidal_subgroup module sage.modular.abvar.finite_subgroup module sage.modular.abvar.homology module sage.modular.abvar.homspace module sage.modular.abvar.lseries module sage.modular.abvar.morphism module sage.modular.abvar.torsion_subgroup module shimura_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) simple_factorization_of_modsym_space() (in module sage.modular.abvar.abvar) sqrt_poly() (in module sage.modular.abvar.abvar) sturm_bound() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) subgroup() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method) submodule() (sage.modular.abvar.homology.Homology_abvar method) T t() (sage.modular.abvar.morphism.DegeneracyMap method) tamagawa_number() (sage.modular.abvar.abvar.ModularAbelianVariety_modsym method) tamagawa_number_bounds() (sage.modular.abvar.abvar.ModularAbelianVariety_modsym method) torsion_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) V vanishes_at_1() (sage.modular.abvar.lseries.Lseries_complex method) vector_space() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) Z zero_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) zero_subvariety() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)