I don't have the references at hand, but surely to compute the order of the Jacobian of a curve over GF(p) it is enough to count the points on the curve itself over GF(p) and GF(p^2)?
John Cremona On Jan 13, 7:01 pm, William Stein <[email protected]> wrote: > On Thu, Jan 13, 2011 at 7:43 AM, Foad Khoshnam <[email protected]> wrote: > > In order to compute the order of the jacobian varieties of > > hyperelliptic curves over finite fields > > I need a function in Sage to choice a random point on jacobian group > > of hyper elliptic curves. > > Some line of my programming are as follow : > > sage: k.<x>=GF(p^a,'x'); > > sage: f=x^7+93*x^6 + 64*x^5 + 2*x^4 + 65*x^3 +90* x^2 + 18*x + 10; > > sage: C=HyperEllipticCurve(f) > > sage: J=C.Jacobian() > > The above code doesn't work. Please re-ask this question, but send > some code that one can actually type in that works. > > William > > > Now I'm looking for a function as : > > D:=Random(J) > > Is there a such function in sage ? I know there exist a such function > > in magma ,but > > I don't have access to magma. > > > Thank you > > > -- > > 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 > > athttp://groups.google.com/group/sage-support > > URL:http://www.sagemath.org > > -- > William Stein > Professor of Mathematics > University of Washingtonhttp://wstein.org -- 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 URL: http://www.sagemath.org
