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arXiv · 2308.11694

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

Maarten Derickx·Petar Orlić
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Abstract

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.

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Maarten Derickx, Petar Orlić. 2023-08-22. Modular curves $X_0(N)$ with infinitely many quartic points. https://doi.org/10.1007/s40993-024-00525-6

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