#13445: Cuspidal subspace of modular forms over finite field contains forms that
are not cuspidal
---------------------------------+--------------------------
Reporter: mderickx | Owner: craigcitro
Type: defect | Status: new
Priority: major | Milestone: sage-6.2
Component: modular forms | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by AlexGhitza):
Even smaller example:
{{{
sage: M = ModularForms(Gamma0(11), base_ring=GF(11)); M
Modular Forms space of dimension 2 for Congruence Subgroup Gamma0(11) of
weight 2 over Finite Field of size 11
sage: M.basis()
[
1 + q^2 + q^3 + q^4 + q^5 + O(q^6),
q + 9*q^2 + 10*q^3 + 2*q^4 + q^5 + O(q^6)
]
sage: S = M.cuspidal_subspace()
sage: S.basis()
[
1 + q^2 + q^3 + q^4 + q^5 + O(q^6)
]
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/13445#comment:5>
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