Torsion primes for elliptic curves over degree 8 number fields
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909186108948480 |
|---|---|
| author | Khawaja, Maleeha |
| author_facet | Khawaja, Maleeha |
| contents | Let $d\geq 1$ be an integer and let $p$ be a rational prime. Recall that $p$ is a torsion prime of degree $d$ if there exists an elliptic curve $E$ over a degree $d$ number field $K$ such that $E$ has a $K$-rational point of order $p$. Derickx, Kamienny, Stein and Stoll have computed the torsion primes of degrees 4, 5, 6 and 7; we verify that these techniques can be extended to determine the torsion primes of degree 8. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_14284 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Torsion primes for elliptic curves over degree 8 number fields Khawaja, Maleeha Number Theory Algebraic Geometry Let $d\geq 1$ be an integer and let $p$ be a rational prime. Recall that $p$ is a torsion prime of degree $d$ if there exists an elliptic curve $E$ over a degree $d$ number field $K$ such that $E$ has a $K$-rational point of order $p$. Derickx, Kamienny, Stein and Stoll have computed the torsion primes of degrees 4, 5, 6 and 7; we verify that these techniques can be extended to determine the torsion primes of degree 8. |
| title | Torsion primes for elliptic curves over degree 8 number fields |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2304.14284 |