On Wed, Jun 24, 2009 at 1:29 PM, adam mohamed<[email protected]> wrote: > > I did not know that. I tought that by the line: S = P.division_points(n_1), > I would get a non-trivial point in that case witouh having to return all the > points. Can I just chose a non-trivial random point on the curve or what is > the best to choose a point without going on whole of unecessary things? > > What I am trying to do is to find elliptic curves over F_p with with point > of order 4. Idealy I need E( F_p ) = Z/4Z*Z/(big prime)Z.
For the record, it is very easy via a naive 5-line program to find a curve with E(F_p) = Z/4Z * Z/nZ where n is say product of two or maybe three odd primes, and possibly one of them is big. William --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to [email protected] To unsubscribe from this group, send email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
