Bill Allombert on Sat, 21 Jun 2025 10:00:40 +0200


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Re: question on the height setting for qfminim on rank 2 elliptic curves


On Fri, Jun 20, 2025 at 09:07:07PM -0700, American Citizen wrote:
> Suppose we have the following GP-Pari script:
> 
> I had to play around with the script file trying different values for ht in
> the qfminim command until the number of points were equal.
> 
> How can one adjust the height value in qfminim for rank 2 elliptic curves
> (when the Mordell-Weil basis is known)  such that the same number of points
> can be found irregardless of the ratio of the 2 heights of the points on the
> curve?

I have made a reply that should address this in
https://pari.math.u-bordeaux.fr/archives/pari-users-2404/msg00011.html

Cheers,
Bill