Package sage :: Package modular :: Package ssmod :: Module ssmod :: Class SupersingularModule
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Class SupersingularModule

HeckeModule --+
              |
             SupersingularModule


Method Summary
  __init__(self, level, prime, base_ring)
  __repr__(self)
  base_ring(self)
  dimension(self)
  hecke_matrix(self, n)
Matrix of Hecke operator on module of supersingular points.
  level(self)
  prime(self)
  weight(self)
    Inherited from HeckeModule
  decomposition(self, anemic)
  factor_number(self)
  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.
  set_factor_number(self, i)
  vector_space(self)

Method Details

hecke_matrix(self, n)

Matrix of Hecke operator on module of supersingular points.
Overrides:
sage.modular.hecke.HeckeModule.hecke_matrix

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