#19169: Create has_cm() function for modular forms
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Reporter: jlang | Owner:
Type: | Status: new
enhancement | Milestone: sage-6.9
Priority: minor | Keywords: modular form, cm, sd69
Component: modular | Authors: Jaclyn Lang, Amy Feaver,
forms | Lubjana Beshaj
Merged in: | Report Upstream: N/A
Reviewers: | Branch:
Work issues: | Dependencies:
Commit: |
Stopgaps: |
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A modular form $f$ has complex multiplication (cm) if there is a quadratic
character $\epsilon$ such that
\[
a_p(f) = \epsilon a_p(f)
\]
for all but finitely many primes $p$ (those dividing the level of $f$).
(Here, $a_p(f$) are the Fourier coefficients of $f$.) This patch creates
a method for the modular forms class in Sage to test whether a given
modular form has cm.
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Ticket URL: <http://trac.sagemath.org/ticket/19169>
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