Supporting elliptic curves over function fields and their L-functions

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Sage currently cannot compute L-functions of elliptic curves over function fields. Chris Hall and I have developed Cython code so that Sage can make use of our ELLFF (elliptic curve L-functions over function fields) library (written in C++ with NTL). The next step is to patch this into Sage.

Component: elliptic curves

Keywords: L-functions, function fields

Author: salmanhb, cjh

Issue created by migration from https://trac.sagemath.org/ticket/9057

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comment:1

Installed ellff.pyx. This will allow you to compute L-functions of elliptic curves over F_q(t).

WARNING: the interface is surely to change, especially in light of the following ticket:

 [https://github.com/sagemath/sage/issues/9054](https://github.com/sagemath/sage/issues/9054)

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Changed author from salmanhb to salmanhb, cjh

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Attachment: trac_9057_ellff.patch.gz

Initial patch

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ELLFF now uses FunctionField in #9054

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Attachment: trac_9057_ellff_ff.patch.gz

Attachment: trac_9057_ellff-init-ff.patch.gz

merges initial file with FunctionField functionality

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Attachment: trac_9057_ellff-part2.patch.gz

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comment:2

trac_9057_ellff-part2.patch adds doctests and resolves some bugs with the previous patches.

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comment:3

The requisite SPKG can be found here:

http://sage.math.washington.edu/home/sbutt/ellff/ellff-0.1.spkg

[williamstein]

comment:4

This is now in PSAGE: http://code.google.com/p/purplesage/source/checkout