Bill Allombert on Mon, 11 Feb 2019 10:56:49 +0100


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Re: S-Integral points on elliptc curve


On Mon, Feb 11, 2019 at 10:44:27AM +0100, grafix@csl.pl wrote:
> Dear Sir,
> 
> Could You inform me that Pari GP have procedur on finding S-Intagral Points
> on elliptic curves?
> 
> e.g.
> 
> ellinit[0,0,0,0,1728*3920^5];
> 
> Pont {x,y} = {40567296, 261459910656}

One possibility is to use ellratpoints:

? ellratpoints(E,[10^8,1])
%9 = [[40567296,261459910656],[40567296,-261459910656]]

See ??hyperellratpoints for how to specify the bound.

Cheers,
Bill.