#10658: Compute local components of modular forms
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Reporter: davidloeffler | Owner: craigcitro
Type: enhancement | Status: positive_review
Priority: major | Milestone: sage-5.0
Component: modular forms | Keywords:
Work_issues: | Upstream: N/A
Reviewer: Martin Raum | Author: David Loeffler
Merged: | Dependencies:
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Old description:
> This ticket is to introduce a new feature for computing with modular
> forms in Sage: the explicit computation of the local component of the
> automorphic representation attached to a newform.
>
> This is based on the algorithms developed by Jared Weinstein and myself.
> Magma also has this, but this code is an independent implementation and
> covers some cases the Magma code doesn't (e.g. the Magma code can't
> distinguish between a newform and its quadratic twist in certain cases).
>
> '''Apply:'''
> 1. [attachment:trac_10658-local_components.patch]
> 2. [attachment:trac_10658-local_components_review.2.patch]
> 3. [attachment:trac_10658-edits.patch]
New description:
This ticket is to introduce a new feature for computing with modular forms
in Sage: the explicit computation of the local component of the
automorphic representation attached to a newform.
This is based on the algorithms developed by Jared Weinstein and myself.
Magma also has this, but this code is an independent implementation and
covers some cases the Magma code doesn't (e.g. the Magma code can't
distinguish between a newform and its quadratic twist in certain cases).
'''Apply:'''
1. [attachment:trac_10658-folded.patch]
--
Comment(by davidloeffler):
Rather than immortalizing the details of the review process in Sage's
revision history, here's a single qfolded patch combining the three above.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10658#comment:9>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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