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 <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(). > > 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 >