0
votes
0answers
39 views

defining elliptic curve over general field in SAGE

How would one define an elliptic curve of over the algebraic closure of a field which is not a finite field or a number field on SAGE? Specifically, I'd like to define the curve over the algebraic ...
0
votes
0answers
88 views

finding torsion points of elliptic curves on MAGMA

I'm trying to learn how to use MAGMA for computing torsion points (i.e. n-torsion subgroups) of elliptic curves in various field. So far, I've looked in the documentation and other resources and I'm ...
14
votes
1answer
446 views

How to compute rational or integer points on elliptic curves

This is an attempt to get someone to write a canonical answer, as discussed in this meta thread. We often have people come to us asking for solutions to a diophantine equation which, after some clever ...