The Mordell-Weil rank of the Jacobian of a curve of genus 2 with multiplication by a square root of 2
Peter R. Bending
Abstract
We 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.
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