The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, I
Author:
Funder
NSF
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory
Link
https://link.springer.com/content/pdf/10.1007/s40993-023-00456-8.pdf
Reference23 articles.
1. Achter, J., Wong, S.: Quotients of elliptic curves over finite fields. Int. J. Number Theory 9(6), 1395–1412 (2013)
2. Adelmann, C.: The Decomposition of Primes in Torsion Point Fields. Lecture Notes in Mathematics, vol. 1761. Springer, Berlin (2001)
3. Bosma, W., Cannon, J., Playoust, C.: The Magma algebra system. I. The user language. J. Symb. Comput. 24(3–4), 235–265 (1997)
4. Chiloyan, G.: Infinite families of isogeny-torsion graphs. J. Number Theory 244, 369–417 (2023)
5. Chiloyan, G., Lozano-Robledo, A.A.: A classification of isogeny-torsion graphs of elliptic curves over Q (with Garen Chiloyan). Trans. Lond. Math. Soc. 8(1), 1–34 (2021)
Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, II;Journal of Number Theory;2025-01
2. The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, I;Research in Number Theory;2023-07-10
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