Re: Transforming general cubic to standard form
Guillaume Hanrot <[email protected]>
| Newsgroups | gmane.comp.mathematics.pari.devel |
|---|---|
| Message-ID | <YYQLAtx9r/eO7XCr@fedora> |
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