Determines infinitely many quartic points on intermediate modular curves, suggesting important implications for mathematical theory.
For every group [Formula: see text], there exists an intermediate modular curve [Formula: see text]. In this paper we determine all curves [Formula: see text] with infinitely many points of degree [Formula: see text] over [Formula: see text]. To do that, we developed a method to compute possible degrees of rational morphisms from [Formula: see text] to an elliptic curve.
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Derickx et al. (2026) studied this question.
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