Abstract
Recently (3) Mazur proved that if N is a prime number such that some elliptic curve E over Q admits a Q-rational isogeny then N is one of 2, 3, 5, 7, 11, 13, 17, 19, 37, 43, 67 or 163.
Publisher
Cambridge University Press (CUP)
Cited by
30 articles.
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1. Modular curves $$X_0(N)$$ with infinitely many quartic points;Research in Number Theory;2024-04-08
2. Cyclic isogenies of elliptic curves over fixed quadratic fields;Mathematics of Computation;2023-08-30
3. Torsion growth over number fields of degree pq;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-08-03
4. Torsion groups of elliptic curves over ℚ(μp∞);International Journal of Number Theory;2023-04-12
5. Explicit classification of isogeny graphs of rational elliptic curves;International Journal of Number Theory;2022-11-16