Degrees of isogenies over prime degree number fields of non-CM elliptic curves with rational j-invariant

2024/11/05 by Novak, Ivan · 1 citation
#11G05 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2411.03062

Abstract

We determine all possible degrees of cyclic isogenies of non-CM elliptic curves with rational j-invariant over number fields of degree p, where p is an odd prime. The question had been answered for p=2, so this paper completes the classification in case when the degree of the number field is prime.

Cited by

• Torsion of \mathbb Q-curves over number fields of small odd prime degree

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• Isogenies of non-CM elliptic curves with rational j-invariants over\n number fields
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• Explicit isogenies of prime degree over number fields
• \mathbb Q-curves over odd degree number fields
• New isogenies of elliptic curves over number fields