Twists of Elliptic Curves
Number Theory
2017-10-26 v3
Abstract
In this note we extend the theory of twists of elliptic curves as presented in various standard texts for characteristic not equal to two or three to the remaining characteristics. For this, we make explicit use of the correspondence between the twists and the Galois cohomology set . The results are illustrated by examples.
Keywords
Cite
@article{arxiv.1707.02893,
title = {Twists of Elliptic Curves},
author = {Max Kronberg and Muhammad Afzal Soomro and Jaap Top},
journal= {arXiv preprint arXiv:1707.02893},
year = {2017}
}