Table of quotient curves of modular curves \(X_ 0(N)\) with genus 2 (Q1917594)

For precisely 142 values of \(N\), the modular curve \(X_0(N)\) modulo the action of the full group of Atkin-Lehner involutions has genus 2. The author presents explicit equations of these curves of the form \(y^2=f(X)\) with \(f(X)\in{\mathbb{Z}}[X]\). In addition the author gives explicit equations for the modular curves \(X_1(N)\) when \(N=13,16\) or \(18\). These curves all have genus 2.