#18086: Twists of newforms
-------------------------------------+-------------------------------------
Reporter: pbruin | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.6
Component: modular forms | Resolution:
Keywords: twist newform | Merged in:
Dirichlet character | Reviewers: Chris Wuthrich
Authors: Peter Bruin | Work issues:
Report Upstream: N/A | Commit:
Branch: | dd977f21a88f86e7ecc7712c1b921a23340f6879
u/pbruin/18086-Newform_twist | Stopgaps:
Dependencies: #6837, #18436 |
-------------------------------------+-------------------------------------
Comment (by pbruin):
Replying to [comment:13 davidloeffler]:
> Here's a bug I found while testing your Atkin--Lehner ticket:
> {{{
> sage: f = Newforms(Gamma1(25), names='a')[1]
> sage: eps = f.character()
> sage: f.twist(eps)
>
---------------------------------------------------------------------------
> TypeError Traceback (most recent call
last)
> ...
> TypeError: No compatible natural embeddings found for Complex Lazy Field
and Number Field in a1 with defining polynomial x^8 + 5*x^7 + 11*x^6 +
10*x^5 + x^4 + 10*x^3 + 26*x^2 - 10*x + 1
> }}}
This is in fact caused by a bug in
`DirichletCharacter.minimize_base_ring()`: in the above setting, typing
{{{
sage: eps.minimize_base_ring()
}}}
gives the same error. This method is called via the `ModularForms`
constructor, so e.g. `ModularForms(eps, 2)` also fails.
--
Ticket URL: <http://trac.sagemath.org/ticket/18086#comment:14>
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