Algebraic modular forms
Definition
An algebraic modular form of weight k for X(N) over R is a
rule f assigning a value to triples (E/R, α, ω), such that
f (E, α, uω) = u−k
f (E, α, ω)
for all u ∈ R×
.
Short Weierstrass
(E) : y2
= x3
+ Ax + B
ω = dx/2y.
Nicolas Mascot p-adic computation of Galois representations