Integral points on elliptic curves over number fields

[RalphieBoy]

Incorporate work done by Rado Kirov and Jackie Anderson at Sage Days 22, based on Magma implementation by Cremona's student Nook.

See also #12095 (now tagged as duplicate).

Converted to git by John Cremona, 2013-12-18

CC: @JohnCremona @sagetrac-gagansekhon @jbalakrishnan

Component: elliptic curves

Keywords: sd32

Author: Justin Walker, Aly Deines, Jennifer Balakrishnan

Branch/Commit: public/10973 @ 0774d59

Issue created by migration from https://trac.sagemath.org/ticket/10973

[RalphieBoy]

Attachment: intpts.sage.gz

[RalphieBoy]

Attachment: ell_int_points.py.gz

This code goes into "sage/schemes/elliptiic_curves". It works, but needs work.

[RalphieBoy]

comment:2

New version of .py file, fixing a problem with bogus interaction with Maxima.

[sagetrac-gagansekhon]

Attachment: trac_10973.gz

[RalphieBoy]

comment:3

The patch trac_10973 should apply w/o problems against sage-4.7.alpha1.

The previous attachments are replaced by this one.

[RalphieBoy]

comment:4

This patch is related to, and appears to fix, the problem described by #10152.

[RalphieBoy]

Attachment: trac_10973.2.gz

Updated patch with code to reject requests w/o generators; replaces previous patch of same name.

[sagetrac-gagansekhon]

comment:5

minor error in all.py, +from ell_int_points.py import *
should be +from ell_int_points import *
The new patch that I will be uploading in a minute fixes that.

[sagetrac-gagansekhon]

Attachment: trac_10973.patch.gz

[adeines]

Attachment: trac_10973.2.patch.gz

This replaces the previous patch

[adeines]

comment:7

The tests pass on all files except ell_ergos.py and constructor.py, specifically, the tests which call S_integral_points([]) are having issues.

All examples from the paper referenced now pass as do all examples from #10152, so once this is implemented, this also fixes #10152.