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arXiv · 1208.2693

Upper bound for the height of S-integral points on elliptic curves

Vincent Bosser·Andrea Surroca
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Abstract

We establish new upper bounds for the height of the S-integral points of an elliptic curve. This bound is explicitly given in terms of the set S of places of the number field K involved, but also in terms of the degree of K, as well as the rank, the regulator and the height of a basis of the Mordell-Weil group of the curve. The proof uses the elliptic analogue of Baker's method, based on lower bounds for linear forms in elliptic logarithms.

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Vincent Bosser, Andrea Surroca. 2012-08-13. Upper bound for the height of S-integral points on elliptic curves. https://arxiv.org/abs/1208.2693

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