Aurel Page on Sat, 16 Jul 2016 19:41:40 +0200


[Date Prev] [Date Next] [Thread Prev] [Thread Next] [Date Index] [Thread Index]

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/3.3.148.1/356.1/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 = 0.24961216776576924744553489082015201012
Are there plans to include Denis Simon's gp scripts for 2-descent,
over Q and over number fields, as standard?

John

Cheers,
Bill