| Guillaume Hanrot on Thu, 04 Nov 2021 17:32:08 +0100 |
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| Re: Transforming general cubic to standard form |
Dear colleagues, > line at infinity. So I assume that you have an affince plane cubic, > not in Weierstrass form, and want to find its integral points. That > is a perfectly good question, but I do not know an answer to it. > There are only finitely many (by Siegel's Theorem > https://en.wikipedia.org/wiki/Siegel%27s_theorem_on_integral_points). If my (old) memories are good, on this precise question I would suggest consulting : R. Stroeker, B.M.M de Weger, Solving Elliptic Diophantine Equations: The General Cubic Case, Acta Arith. 87 (4) (1998). Sincerely yours, Guillaume Hanrot