Stroeker, R.J.; Tzanakis, N. - Erasmus University Rotterdam, Econometric Institute - 2001
The Elliptic Logarithm Method has been applied with great success to the problem of computing all integer solutions of equations of degree 3 and 4 defining elliptic curves. We extend this method to include any equation f(u,v)=0 that defines a curve of genus 1. Here f is a polynomial with integer...