I'm sorry if this is a really easy question. I found out how to compute the n-torsion of an elliptic curve $E$ over a given field. But what if I would like to do is find a field $K$ such that all n-torsion points of $E$ are defined over $K$.
In effect compute the n-torsion part of the Tate module. Is this possible with Sagemath?
