Opened 11 years ago

Last modified 6 years ago

#9057 needs_work enhancement

Supporting elliptic curves over function fields and their L-functions

Reported by: salmanhb Owned by: cremona
Priority: major Milestone: sage-6.4
Component: elliptic curves Keywords: elliptic curves, L-functions, function fields
Cc: Merged in:
Authors: salmanhb, cjh Reviewers:
Report Upstream: N/A Work issues:
Branch: Commit:
Dependencies: Stopgaps:

Description

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.

Attachments (4)

trac_9057_ellff.patch (38.1 KB) - added by salmanhb 11 years ago.
Initial patch
trac_9057_ellff_ff.patch (5.7 KB) - added by salmanhb 11 years ago.
ELLFF now uses FunctionField? in #9054
trac_9057_ellff-init-ff.patch (38.5 KB) - added by salmanhb 11 years ago.
merges initial file with FunctionField? functionality
trac_9057_ellff-part2.patch (11.0 KB) - added by salmanhb 11 years ago.

Download all attachments as: .zip

Change History (12)

comment:1 Changed 11 years ago by salmanhb

  • Authors changed from salmanhb to salmanhb, cjh
  • Status changed from new to needs_work

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:

http://trac.sagemath.org/sage_trac/ticket/9054

Changed 11 years ago by salmanhb

Initial patch

Changed 11 years ago by salmanhb

ELLFF now uses FunctionField? in #9054

Changed 11 years ago by salmanhb

merges initial file with FunctionField? functionality

Changed 11 years ago by salmanhb

comment:2 Changed 11 years ago by salmanhb

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

comment:3 Changed 11 years ago by salmanhb

comment:5 Changed 7 years ago by jdemeyer

  • Milestone changed from sage-5.11 to sage-5.12

comment:6 Changed 7 years ago by vbraun_spam

  • Milestone changed from sage-6.1 to sage-6.2

comment:7 Changed 7 years ago by vbraun_spam

  • Milestone changed from sage-6.2 to sage-6.3

comment:8 Changed 6 years ago by vbraun_spam

  • Milestone changed from sage-6.3 to sage-6.4
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