The general method is called Naggel's algorithm.

Take a look at http://www.math.mcgill.ca/connell/public/ECH1/c1.ps
(1.4)

On Dec 7, 1:53 pm, Jaakko Seppälä <jaakko.j.sepp...@gmail.com> wrote:
> Hello again!
>
> Is that method general? I tried now to find the integer points of x^3
> - 3*x*y^2-y^3-1 without success.
>
> Jaakko
>

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