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Modular Abelian Varieties¶

  • Constructors for certain modular abelian varieties
    • AbelianVariety()
    • J0()
    • J1()
    • JH()
  • Base class for modular abelian varieties
    • ModularAbelianVariety
    • ModularAbelianVariety_abstract
    • ModularAbelianVariety_modsym
    • ModularAbelianVariety_modsym_abstract
    • factor_modsym_space_new_factors()
    • factor_new_space()
    • is_ModularAbelianVariety()
    • modsym_lattices()
    • random_hecke_operator()
    • simple_factorization_of_modsym_space()
    • sqrt_poly()
  • Ambient Jacobian Abelian Variety
    • ModAbVar_ambient_jacobian()
    • ModAbVar_ambient_jacobian_class
  • Finite subgroups of modular abelian varieties
    • FiniteSubgroup
    • FiniteSubgroup_lattice
  • Torsion subgroups of modular abelian varieties
    • QQbarTorsionSubgroup
    • RationalTorsionSubgroup
  • Cuspidal subgroups of modular abelian varieties
    • CuspidalSubgroup
    • CuspidalSubgroup_generic
    • RationalCuspSubgroup
    • RationalCuspidalSubgroup
    • is_rational_cusp_gamma0()
  • Homology of modular abelian varieties
    • Homology
    • Homology_abvar
    • Homology_over_base
    • Homology_submodule
    • IntegralHomology
    • RationalHomology
  • Spaces of homomorphisms between modular abelian varieties
    • EndomorphismSubring
    • Homspace
  • Morphisms between modular abelian varieties, including Hecke operators acting on modular abelian varieties
    • DegeneracyMap
    • HeckeOperator
    • Morphism
    • Morphism_abstract
  • Abelian varieties attached to newforms
    • ModularAbelianVariety_newform
  • \(L\)-series of modular abelian varieties
    • Lseries
    • Lseries_complex
    • Lseries_padic

Indices and Tables¶

  • Index

  • Module Index

  • Search Page

Table of Contents

  • Modular Abelian Varieties
  • Indices and Tables

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