|Bill Allombert on Tue, 24 Jun 2014 11:29:53 +0200|
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On 23 June 2014 20:07, Ariel Martin Pacetti <firstname.lastname@example.org> wrote: > Dear users, > > is there a way to compute a rational heegner point chosing the discriminant? > This should be implemented in the ellheegner routine, but such choice is not > available (is there a reason for that?). I remember this was done in an old > package from Peter Green. Hello Ariel, Could you provide an example ? This can be done with minimal change to the PARI source code. Hwoever, PARI definition of the Heegner point is "A non-torsion rational point on the curve, whose canonical height is equal to the product of the elliptic regulator by the analytic Sha" which means the choice of discriminant has a very small effect on the result. In practice, PARI chose the discriminant so that the series is as fast as possible to compute. Cheers, Bill.