Hi, First of all, I'm very happy with the things I can do with elliptic curves over number fields in Sage.
My problem: I want to add the complete 4-torsion of E27a3 to the rationals, i.e. I want K=Q(E[4]). My situation is more or less similar to: http://groups.google.com/group/sage-nt/browse_thread/thread/b17b3f26ab9b6241 , though for now I just want to know information about K. Just adjoining the x-coordinates of the division polynomial does not give me the complete 4-torsion. Adding the y-coordinates and get the splitting_field is beyond the capabilities of Sage, I guess. Is there a way to obtain this field K? Am I missing something, is there some functionality in Sage to do this? Best, Hendrik --~--~---------~--~----~------------~-------~--~----~ 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 -~----------~----~----~----~------~----~------~--~---
