# Modular curves, modular forms, lattices, Galois representations

# Modular curves, modular forms, lattices, Galois representations

This chapter provides the necessary background concerning modular curves and modular forms. It covers modular curves, modular forms, lattices and modular forms, Galois representations attached to eigenforms, and Galois representations over finite fields and reduction to torsion in Jacobians.

*Keywords:*
modular forms, modular curves, lattices, Galois representations, eigenforms, finite fields, torsion, Jacobians

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