Modular curves $X_0(N)$ with infinitely many quartic points

Autor:	Derickx, Maarten, Orlić, Petar
Rok vydání:	2023
Předmět:	Mathematics - Number Theory
Zdroj:	Res. number theory 10, 42 (2024)
Druh dokumentu:	Working Paper
DOI:	10.1007/s40993-024-00525-6
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.11694 Zobrazit plný text záznamu View this record from Arxiv