 Classical modular curve

Classical modular curves are geometric objects that arise in the study of modular forms and elliptic curves in number theory. Simply put, they are Riemann surfaces or algebraic curves that parametrize elliptic curves endowed with additional structure, specifically involving modular forms. ### Key Features: 1. **Parameterized Elliptic Curves**: Modular curves classify elliptic curves over the complex numbers. They can often be described as quotients of the upper half-plane by the action of modular groups.