Algebraic modular forms
Let k ∈ N, and R a commutative ring such that 6N ∈ R×
.
Definition
An algebraic modular form of weight k for X(N) over R is a
rule f assigning a value to isomorphism classes of triples
(E/R, α, ω) where ω generates the differential forms on E/R
Nicolas Mascot p-adic computation of Galois representations