Re: New GP function ellrank (2-descent)
Karim Belabas <[email protected]>
| Newsgroups | gmane.comp.mathematics.pari.devel |
|---|---|
| Message-ID | <[email protected]> |
* Bill Allombert [2021-02-16 13:51]:
> > Also what does the output of ellrankinint() contain? (If you say
> > that it is very technical and I should not worry about it, I will feel
> > like a Mathematica user!) In particular, does it contain the
> > quartics which represent elements of (or generators of) the 2-Selmer
> > group?
>
> No, it only contains the bnfinit of the 2-division polynomial.
> This way you can also use it for twists.
More precisely the "bnfinit" for the étale Q-algebra Q[X] / (P), where
P is the 2-division polynomial.
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 21 23
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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