|Aurel Page on Sat, 16 Jul 2016 19:41:40 +0200|
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|Re: Support for elliptic curves over number fields|
On 16/07/2016 18:44, John Cremona wrote:
On 16 July 2016 at 17:06, Bill Allombert <Bill.Allombert@math.u-bordeaux1.fr> wrote:Dear PARI developers, We have added basic support for elliptic curves over number fields and L function of elliptic curves over number fields.Excellent! Some of this functionality is already mentioned on web pages such as http://www.lmfdb.org/EllipticCurve/18.104.22.168/356.1/a/1 (after clicking the "Show commands for ... Pari/gp" near the top. If those commands are not correct, please let me know (they were written by Aurel). I notice that he did not include the field as a parameter in the ellinit().
Indeed! That must be a mistake. Aurel
This is an example: ? N=nfinit(a^3-26); ? E=ellinit([a,0,1,0,0],N); ? lfun(E,1) %4 = 0.24961216776576924744553489082015201012Are there plans to include Denis Simon's gp scripts for 2-descent, over Q and over number fields, as standard? JohnCheers, Bill