Package sage :: Package modular :: Module hecke :: Class HeckeModule
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Class HeckeModule

Known Subclasses:
ModularAbelianVariety, ModularFormsSpace, ModularSymbolsSpace, SupersingularModule

Method Summary
  __init__(self)
  base_ring(self)
  decomposition(self, anemic)
  dimension(self)
  factor_number(self)
  hecke_matrix(self, n)
  is_splittable(self)
Returns true if and only if only it is possible to split off a nontrivial generalized eigenspace of self as the kernel of some Hecke operator.
  is_splittable_anemic(self)
Returns true if and only if only it is possible to split off a nontrivial generalized eigenspace of self as the kernel of some Hecke operator of index coprime to the level.
  level(self)
  set_factor_number(self, i)
  vector_space(self)
  weight(self)

Method Details

is_splittable(self)

Returns true if and only if only it is possible to split off a nontrivial generalized eigenspace of self as the kernel of some Hecke operator.

is_splittable_anemic(self)

Returns true if and only if only it is possible to split off a nontrivial generalized eigenspace of self as the kernel of some Hecke operator of index coprime to the level.

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