Summary: The Birch and Swinnerton­Dyer
formula for modular abelian
varieties #
Amod Agashe
University of California, Berkeley
May 22, 2000
# These transperencies can be obtained from
http://www.math.berkeley.edu/”amod/mymath.html

The Birch and Swinnerton­Dyer
conjectural formula
J 0 (N) = Jacobian of the modular curve X 0 (N)
T = Hecke algebra
f = a newform s.t. L(f, 1) #= 0
I f = Ann T f , an ideal of T
A = A f = J 0 (N)/I f J 0 (N),
the Shimura quotient associated to f
Conjecture 1 (Birch, Swinnerton­Dyer, Tate,
Gross).
L(A, 1)

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

Collections: Mathematics