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Modular forms, elliptic curves, and modular curves
Modular curves as Riemann surfaces
Dimension formulas
Eisenstein series
Hecke operators
Jacobians and Abelian varieties
Modular curves as algebraic curves
The Eichler-Shimura relation and L-functions
Galois representations.
Modular curves as Riemann surfaces
Dimension formulas
Eisenstein series
Hecke operators
Jacobians and Abelian varieties
Modular curves as algebraic curves
The Eichler-Shimura relation and L-functions
Galois representations.