Twists of Elliptic Curves

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• Main Authors: Kronberg, M., Soomro, M.A., Top, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149277
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Twists of Elliptic Curves / M. Kronberg, M.A. Soomro, J. Top // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 24 назв. — англ.

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 H¹(GK¯/K,AutK¯(E)...