156 citations · 236 across the 4 of their papers we have counts for
3 papers · 1 filter
Explicit n-descent on elliptic curves. III. Algorithms
John Cremona, Tom Fisher, Cathy O'Neil +2
This is the third 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 curves of degree n in P^{n-1}. The m…
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…
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.…