Non-cyclic Torsion of Elliptic Curves Over Imaginary Quadratic Fields of Class Number 1
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2021
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914804955873280 |
|---|---|
| author | Balçık, Irmak |
| author_facet | Balçık, Irmak |
| contents | Let $K$ be a non-cylotomic imaginary quadratic field of class number 1 and $E/K$ is an elliptic curve with $E(K)[2]\simeq \mathbb{Z}/2\mathbb{Z} \oplus\mathbb{Z}/2\mathbb{Z}.$ In this article, we determine the torsion groups that can arise as $E(L)_{\text{tor}}$ where $L$ is a quadratic extension of $K.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_11395 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Non-cyclic Torsion of Elliptic Curves Over Imaginary Quadratic Fields of Class Number 1 Balçık, Irmak Number Theory Let $K$ be a non-cylotomic imaginary quadratic field of class number 1 and $E/K$ is an elliptic curve with $E(K)[2]\simeq \mathbb{Z}/2\mathbb{Z} \oplus\mathbb{Z}/2\mathbb{Z}.$ In this article, we determine the torsion groups that can arise as $E(L)_{\text{tor}}$ where $L$ is a quadratic extension of $K.$ |
| title | Non-cyclic Torsion of Elliptic Curves Over Imaginary Quadratic Fields of Class Number 1 |
| topic | Number Theory |
| url | https://arxiv.org/abs/2111.11395 |