Let F2=GF(2^7,'a'), E=EllipticCurve(F1,[0,0,1,1,1]),
P=E.random_point(), F2=GF((2^7)^4,'a')

Purpose: I want to look at the point P in the curve over F2 instead of
F1. So I some way I want to extend F1.

My question is how do I, when I already have an extension field F1,
extend it to F2 in a way s.t. I can reuse element from F1 in F2?

/David

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