Bill Allombert on Sun, 13 May 2012 21:36:27 +0200

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Re: elliptic curves with prescribed periods

On Sat, May 12, 2012 at 02:14:04PM +0200, Bill Allombert wrote:
> Dear PARI users,
> Is there a convenient way to build an elliptic curve with prescribed period in
> ellinit Weierstrass form ?
> g2=elleisnum(om,4,1);
> g3=elleisnum(om,6,1); will give you the curve in the form
> y^2 = 4*x^3 - g2*x - g3
> and then you will have to do a coordinate change before being able to use ellinit,
> which is not very convenient.

Well it seems the correct formula is


so that f(om).omega==om