|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 f(om)=ellinit(-1/4*[elleisnum(om,4,1),elleisnum(om,6,1)]) so that f(om).omega==om Cheers, Bill.