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

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.

References in corpus (1)

• Bielliptic quotient modular curves of $X_0(N)$