Suppose that q is a prime power, and I have an elliptic curve E over GF
(q)
(say created by E = EllipticCurve(coefficient_list))

and P,Q = E.gens()

How can I find E just given P (say if I pass just P to a function)?

If I say

print P.parent()

I get something like

Abelian group of point on Elliptic Curve defined by blah blah

So the information must be there, but I can't figure out which method
to call.

Victor
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