John Cremona on Sat, 16 Jul 2016 18:44:45 +0200

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Re: Support for elliptic curves over number fields

On 16 July 2016 at 17:06, Bill Allombert
<> 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
(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().

> 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?


> Cheers,
> Bill