The Mordell-Weil Rank of the Jacobian of a Curve of Genus 2 with Multiplication by a Square Root of 2, by Peter R. Bending

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.

Peter R. Bending <>