Karim Belabas on Sat, 16 Jul 2016 22:04:09 +0200


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Re: Support for elliptic curves over number fields


* Bill Allombert [2016-07-16 19:47]:
> > Are there plans to include Denis Simon's gp scripts for 2-descent,
> > over Q and over number fields, as standard?
> 
> Yes, but this requires changes to the way S-units of number fields are
> computed.

1) Not so much "computed", rather how they are stored in the bnf structure.
And this only concerns fundamental units. (S-units have already been updated
internally.)

2) In any case, this is a trivial part of the work of adapting Denis's
scripts. It has never been done due to the 100+ more urgent items in the
TODO list, but it's a 20-lines patch now, provided the behaviour is only
enabled by a special-purpose flag and we don't try to change everything
in all cases.

We still require somebody to invest ~3 months cleaning up/porting the scripts.
(Not me.)

Cheers,

    K.B.
--
Karim Belabas, IMB (UMR 5251)  Tel: (+33) (0)5 40 00 26 17
Universite de Bordeaux         Fax: (+33) (0)5 40 00 69 50
351, cours de la Liberation    http://www.math.u-bordeaux.fr/~kbelabas/
F-33405 Talence (France)       http://pari.math.u-bordeaux.fr/  [PARI/GP]
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