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answered 2024-02-04 20:26:50 +0100
The method P.division_points(n) gives the list of all rational points Q such that nQ = P. It works for any base field.
P.division_points(n)
sage: E = EllipticCurve([1,0]) sage: P = E(0) sage: P.division_points(2) [(0 : 0 : 1), (0 : 1 : 0)]