Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

S-integral points on elliptic curves

N. P. Smarta1

a1 Department of Computing Mathematics, University of Wales College of Cardiff, Cardiff CF2 4YN, Wales.

In this paper I give an algorithm to find all ‘small’ S-integral points on an elliptic curve. I would like to thank N. Stephens for suggesting I consider such equations and the Wingate Foundation for supporting me whilst carrying out the research. As is usual c1, c2, …, will denote positive real constants which are effectively computable.

(Received July 23 1993)

(Revised January 17 1994)