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You can do that using the explicit addition formula and solving the system of equations. For Q = 3P with Q given and P to be found, you need one "doubling formula" and one "addition formula". System of equations in cartesian coordinates (x,y) are not easy to solve.
| | 2 | No.2 Revision |
You can do from ell_point.html sagemath help :
division_points(m, poly_only=False)
Return a list of all points Q such that using the explicit addition formula and solving the system of equations. For Q mQ=P where P = 3P with Q given and P to be found, you need one "doubling formula" and one "addition formula". System of equations in cartesian coordinates (x,y) are not easy to solve.self.
