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

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

Publishing date

1999-06-15

URL

arxiv.org/abs/math/9906217v1

Science

Mathematics

Field

Number Theory

Type

Scientific paper

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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