Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.03062 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929577150906368 |
|---|---|
| author | Novak, Ivan |
| author_facet | Novak, Ivan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03062 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Degrees of isogenies over prime degree number fields of non-CM elliptic curves with rational $j$-invariant Novak, Ivan Number Theory 11G05 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. |
| title | Degrees of isogenies over prime degree number fields of non-CM elliptic curves with rational $j$-invariant |
| topic | Number Theory 11G05 |
| url | https://arxiv.org/abs/2411.03062 |