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2016-04-11 13:04:55 +0200 asked a question Find all n-torsion of an elliptic curve

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?