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math.NT2020
Chabauty-Coleman computations on rank 1 Picard curves
Sachi Hashimoto, Travis Morrison
We provably compute the full set of rational points on 1403 Picard curves defined over with Jacobians of Mordell-Weil rank using the Chabauty-Coleman method. To ca…
math.NT2019
Computing rational points on rank 0 genus 3 hyperelliptic curves
María Inés de Frutos-Fernández, Sachi Hashimoto
We compute rational points on genus odd degree hyperelliptic curves over that have Jacobians of Mordell-Weil rank . The computation applies the Chabauty-Col…