Chabauty-Coleman experiments for genus 3 hyperelliptic curves

Jennifer S. Balakrishnan, Francesca Bianchi, Victoria Cantoral-Farfán +2

We describe a computation of rational points on genus 3 hyperelliptic curves $C$ defined over $\mathbb{Q}$ whose Jacobians have Mordell-Weil rank 1. Using the method of Chabauty an…