#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-5.4
Component: modular forms | Keywords:
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
-----------------------------+----------------------------------------------
Executing:
{{{
M=ModularForms(Gamma1(29),base_ring=GF(29))
S=M.cuspidal_subspace()
S.basis()
}}}
gives:
{{{
[
1 + O(q^6),
q + O(q^6),
q^2 + O(q^6),
q^3 + O(q^6),
q^4 + O(q^6),
q^5 + O(q^6),
O(q^6),
O(q^6),
O(q^6),
O(q^6),
O(q^6),
O(q^6),
O(q^6),
O(q^6),
O(q^6),
O(q^6),
O(q^6),
O(q^6),
O(q^6),
O(q^6),
O(q^6),
O(q^6)
]
}}}
The first element is clearly not cuspidal
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13445>
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