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Twists of Elliptic Curves
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Twists of Elliptic Curves
Інший ID:
2010 Mathematics Subject Classification: 11G05; 11G25; 14G1
DOI:10.3842/SIGMA.2017.083
DOI:10.3842/SIGMA.2017.083
Посилання:
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.
Підтримка:
This paper is a contribution to the Special Issue on Modular Forms and String Theory in honor of Noriko
Yui. The full collection is available at http://www.emis.de/journals/SIGMA/modular-forms.html.
It is a pleasure to thank Joe Silverman, John Cremona, Nurdag¨ul Anbar Meidl, and Jan Stef fen
M¨uller for helpful comments, advise, and support while preparing this paper. We are especially
grateful for the many useful suggestions of the two referees of the first draft of this, which we
hope have improved the readability of the text a lot.
Дата:
2017
Переглядів:
486
Завантажень:
158
Анотація:
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)). The results are illustrated by examples.
