# Computations with modular forms and Galois representations

# Computations with modular forms and Galois representations

This chapter discusses several aspects of the practical side of computing with modular forms and Galois representations. It starts by discussing computations with modular forms, and from there work towards the computation of polynomials that give the Galois representations associated with modular forms. Throughout, the chapter denotes the space of cusp forms of weight *k*, group Γ₁(*N*), and character ε by *S*ₖ(*N*, ε).

*Keywords:*
modular forms, Galois representations, modular symbols, polynomials, cusp forms

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