13 citations · 13 across the 2 of their papers we have counts for
2 papers
math.NT1999★ 13 cited
Curves of genus 2 with sqrt2 multiplication
Peter R. Bending
In this paper, we give a universal family of curves of genus 2 whose jacobians have multiplication fixed by the Rosati involution, and several results based on it, includi…
math.NT1999
The Mordell-Weil rank of the Jacobian of a curve of genus 2 with multiplication by a square root of 2
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,…