ASKSAGE: Sage Q&A Forum - Individual question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Mon, 09 Dec 2013 22:34:52 -0600Functionality for elliptic curves over number fieldshttp://ask.sagemath.org/question/9926/functionality-for-elliptic-curves-over-number-fields/Hi,
I am interested in computing the integral points and evaluating the L-function of an elliptic curve over number fields (of small degree over Q). Despite much searching, it's not clear to me what Sage is currently capable of doing in this regard. Any guidance would be greatly appreciated! Thanks!Tue, 19 Mar 2013 13:44:22 -0500http://ask.sagemath.org/question/9926/functionality-for-elliptic-curves-over-number-fields/Answer by barbules for <p>Hi,</p>
<p>I am interested in computing the integral points and evaluating the L-function of an elliptic curve over number fields (of small degree over Q). Despite much searching, it's not clear to me what Sage is currently capable of doing in this regard. Any guidance would be greatly appreciated! Thanks!</p>
http://ask.sagemath.org/question/9926/functionality-for-elliptic-curves-over-number-fields/?answer=15064#post-id-15064I reported it on sage trac.
[this is trac ticket #14758](http://trac.sagemath.org/sage_trac/ticket/14758)Mon, 17 Jun 2013 05:58:09 -0500http://ask.sagemath.org/question/9926/functionality-for-elliptic-curves-over-number-fields/?answer=15064#post-id-15064Answer by John Cremona for <p>Hi,</p>
<p>I am interested in computing the integral points and evaluating the L-function of an elliptic curve over number fields (of small degree over Q). Despite much searching, it's not clear to me what Sage is currently capable of doing in this regard. Any guidance would be greatly appreciated! Thanks!</p>
http://ask.sagemath.org/question/9926/functionality-for-elliptic-curves-over-number-fields/?answer=15780#post-id-15780Integral points on elliptic curves over number fields have been implemented and the (quite large and complicated) patch is on trac, being reviewed. See http://trac.sagemath.org/ticket/10973. Note that the trac ticket you created was closed as a duplicate.
For L-functions, nothing has yet been implemented, but the underlying functionality would be provided by Tim Dokchitser's ComputeL pari/gp package. Someone needs to write that interface!
Mon, 09 Dec 2013 22:34:52 -0600http://ask.sagemath.org/question/9926/functionality-for-elliptic-curves-over-number-fields/?answer=15780#post-id-15780