Summary: The modular number, the
congruence number, and
multiplicity one
Amod Agashe
Florida State University
January 11, 2010
Slides and paper available at:
http://www.math.fsu.edu/~agashe/math.html
1
Modular curves and modular forms
Let N = a positive integer (the level).
0(N) =
a b
c d
SL2(Z) : N | c .
e.g., 0(1) = SL2(Z)
H = complex upper half plane
0(N) acts on H P1(Q) as
a b
c d

Source: Agashe, Amod - Department of Mathematics, Florida State University

Collections: Mathematics