51 citations · 217 across the 26 of their papers we have counts for
4 papers · 1 filter
Explicit n-descent on elliptic curves, II. Geometry
John Cremona, Tom Fisher, Cathy O'Neil +2
This is the second in a series of papers in which we study the n-Selmer group of an elliptic curve. In this paper, we show how to realize elements of the n-Selmer group explicitly…
The invariants of a genus one curve
Tom Fisher
It was first pointed out by Weil that we can use classical invariant theory to compute the Jacobian of a genus one curve. The invariants required for curves of degree n = 2,3,4 wer…
The Hessian of a genus one curve
Tom Fisher
We continue our development of the invariant theory of genus one curves with the aim of computing certain twists of the universal family of elliptic curves parametrised by the modu…
Explicit n-descent on elliptic curves, I. Algebra
John Cremona, Tom Fisher, Cathy O'Neil +2
This is the first in a series of papers in which we study the n-Selmer group of an elliptic curve, with the aim of representing its elements as genus one normal curves of degree n.…