Ok, what I really want to do is determine if there is a torsion point of order q (a prime) on an elliptic curve over a number field.
Is there a better way to do this in sage besides looking for roots of the qth division polynomial? Thanks, Dan On May 19, 6:32 pm, "William Stein" <[EMAIL PROTECTED]> wrote: > On Mon, May 19, 2008 at 6:29 PM, Dan Shumow <[EMAIL PROTECTED]> wrote: > > > Presently, in sage, is there anyway to computer the torsion subgroup > > of a curve over an arbitrary number field? > > > I'm pouring through the documentation, and I see how to do it for a > > curve over the rationals. Is this not implemented for number fields? > > > Thanks, > > Dan > > No, I don't think there is. I would love for somebody to implement this. > > Ifti -- any thoughts -- your thesis was on this sort of thing? > > John Cremona -- any thoughts -- this seems right up your ally. > > It's funny that we have conductors, tate's algorithm, etc over number > fields but not torsion. > > William --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-support@googlegroups.com 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 -~----------~----~----~----~------~----~------~--~---