Explicit 4-descents on an Elliptic Curve

Abstract

It is shown that the obvious method of descending from an element of the 2-Selmer group of an elliptic curve, E, will indeed give elements of order 1, 2 or 4 in the Weil-Chatelet group of E. Explicit algorithms for such a method are given.

Cite this paper

@inproceedings{Merriman1996Explicit4O, title={Explicit 4-descents on an Elliptic Curve}, author={Joel R. Merriman and Samir Siksek and Nigel P. Smart}, year={1996} }