2024
DOI: 10.1090/conm/796/16003
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Rational points on rank 2 genus 2 bielliptic curves in the LMFDB

Francesca Bianchi,
Oana Padurariu

Abstract: Building on work of Balakrishnan, Dogra, and of the first author, we provide some improvements to the explicit quadratic Chabauty method to compute rational points on genus 2 2 bielliptic curves over Q \mathbb {Q} , whose Jacobians have Mordell–Weil rank equal to 2 2 . We complement this with a precision analysis to guarantee correct outputs. Together with the Mordell–Weil sieve, this bielliptic quadratic Chabauty method is then the main tool that… Show more

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