Bill Allombert on Sun, 26 Mar 2017 21:18:00 +0200


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Re: Selmer 

On Sun, Mar 26, 2017 at 02:12:39AM +0430, Benyamin Gholami wrote:
> i think Denis Simon Script has a bug:
> for the curve below if didn't have a mistake , his script compute 2 selmer
> rank 10 but magma compute 4 . whats wrong?
> 
> EllipticCurve([0, -438879732513040081/428593506250000, 0,
> -112353213812869130368/26787094140625,
> 3081846839375070007684953094049946244/717548412498706207275390625]);

You can set COMPLETE to 1: In this case it gives a better result.

? COMPLETE=1;
? ellrank(ellminimalmodel(E))
%2 =
[1,4,[[292586500266666640,0],[-146293244171013360,581498102240230792860880000],[292586491323186721,71888501976120652422600]]]

Cheers,
Bill.