Modular curves $X_0(N)$ with infinitely many quartic points
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917796660641792 |
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| author | Derickx, Maarten Orlić, Petar |
| author_facet | Derickx, Maarten Orlić, Petar |
| contents | We determine all modular curves $X_0(N)$ with infinitely many quartic points. To do this, we define a pairing that induces a quadratic form representing all possible degrees of a rational morphism from $X_0(N)$ to a positive rank elliptic curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_11694 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Modular curves $X_0(N)$ with infinitely many quartic points Derickx, Maarten Orlić, Petar Number Theory We determine all modular curves $X_0(N)$ with infinitely many quartic points. To do this, we define a pairing that induces a quadratic form representing all possible degrees of a rational morphism from $X_0(N)$ to a positive rank elliptic curve. |
| title | Modular curves $X_0(N)$ with infinitely many quartic points |
| topic | Number Theory |
| url | https://arxiv.org/abs/2308.11694 |