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

Peter R. Bending

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

Peter R. Bending

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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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Peter R. Bending. 1999-06-15. The Mordell-Weil rank of the Jacobian of a curve of genus 2 with multiplication by a square root of 2. https://arxiv.org/abs/math/9906217

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