#8622: Atkin-Lehner operators don't work for odd weight modular forms
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Reporter: davidloeffler | Owner: craigcitro
Type: defect | Status: new
Priority: major | Milestone:
Component: modular forms | Resolution:
Keywords: atkin-lehner | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps: todo
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Comment (by pbruin):
This will hopefully be solved by #18061 (I didn't know about this ticket
when I opened that one), although currently it isn't. With #18061 applied
I now get (choosing the base ring such that `gauss_sum()` has a chance of
working)
{{{
sage: f = Newforms(Gamma1(13), 3, CyclotomicField(40), names='a')[0]
sage: f.atkin_lehner_eigenvalue()
Traceback (most recent call last):
...
TypeError: Cannot coerce zeta52 into Cyclotomic Field of order 40 and
degree 16
}}}
This seems to be caused by `gauss_sum()` working in the wrong cyclotomic
field; doing `f.character().gauss_sum()` leads to the same error.
Applying #19056 does not solve this (yet).
--
Ticket URL: <http://trac.sagemath.org/ticket/8622#comment:9>
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