The Mordell-Weil rank of the Jacobian of a curve of genus 2 with multiplication by a square root of 2

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78754We present a method for computing the Mordell-Weil rank of the jacobian of a curve of genus 2 with multiplication by a square root of 2, based on descent via isogenies of degree 2, and apply it to a family of curves.Number TheoryThe Mordell-Weil rank of the Jacobian of a curve of genus 2 with multiplication by a square root of 2text