#18086: Twists of newforms
-------------------------------------+-------------------------------------
Reporter: pbruin | Owner:
Type: enhancement | Status: needs_work
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: | f1533dde29e01cbca26cb57e51a680a3853c6440
u/pbruin/18086-Newform_twist | Stopgaps:
Dependencies: #6837 |
-------------------------------------+-------------------------------------
Changes (by wuthrich):
* status: needs_review => needs_work
* reviewer: => Chris Wuthrich
Comment:
Two issues. One a very small missing second ` after check in the
docstring.
The other will need more work:
{{{
sage: M = CuspForms(Gamma1(13),2)
sage: f = M.newforms('a')[0]
sage: G = DirichletGroup(3)
sage: chi = G.0
sage: f.twist(chi)
}}}
returns
{{{
TypeError: no common canonical parent for objects with parents: 'Number
Field in a0 with defining polynomial x^2 + 3*x + 3' and 'Cyclotomic Field
of order 2 and degree 1'
}}}
It appears when the form has coefficients outside ZZ.
By the way, this could be another nice example.
{{{
sage: D = Newforms(1,12)[0]
sage: G = DirichletGroup(3)
sage: chi = G.0
sage: D.twist(chi)
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/18086#comment:9>
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