Quadratic points on modular curves $X_0(N)$ for $N\leq 100$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911112000176128 |
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| author | Najman, Filip Novak, Ivan |
| author_facet | Najman, Filip Novak, Ivan |
| contents | We determine the quadratic points on the modular curves $X_0(N)$ for $N\leq 100$ for which this has not been previously done, namely the cases
$$N\in\{66,70,78,82,84,86,87,88,90,96,99\}.$$
We accomplish this by improving on the ``going down method," which uses the fact that we have a moduli description of all the (infinitely many) quadratic points on $X_0(n)$ for some divisor $n$ of $N$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_14480 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quadratic points on modular curves $X_0(N)$ for $N\leq 100$ Najman, Filip Novak, Ivan Number Theory We determine the quadratic points on the modular curves $X_0(N)$ for $N\leq 100$ for which this has not been previously done, namely the cases $$N\in\{66,70,78,82,84,86,87,88,90,96,99\}.$$ We accomplish this by improving on the ``going down method," which uses the fact that we have a moduli description of all the (infinitely many) quadratic points on $X_0(n)$ for some divisor $n$ of $N$. |
| title | Quadratic points on modular curves $X_0(N)$ for $N\leq 100$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2508.14480 |