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arXiv · 1802.07136

Height of rational points on congruent number elliptic curves

Pierre Le Boudec
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Abstract

We prove that a positive proportion of squarefree integers are congruent numbers such that the canonical height of the lowest non-torsion rational point on the corresponding elliptic curve satisfies a strong lower bound.

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Pierre Le Boudec. 2018-02-20. Height of rational points on congruent number elliptic curves. https://arxiv.org/abs/1802.07136

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