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2 votes
2 answers
414 views

Upper bound on number of integral solutions of elliptic curves

I was studying M. Bhargava Et al's seminal paper titled "Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves" And came across a very fascinating ...
3 votes
1 answer
213 views

5-Descent or ($\sqrt{5}$-Descent?) on certain genus 2 Jacobians

I would like to know if there is something I can read to compute the following: Let $H$ be a hyperelliptic curve of genus $2$ given by $y^2=x^5 + 10$ and let $J$ be its Jacobian. How can I prove ...