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Introduction
Detailed Research Plan
Introduction
Invariants of modular abelian varieties
The BSD conjecture
The ratio
The torsion subgroup
Tamagawa numbers
Upper bounds on
Lower bounds on
Motivation for considering abelian varieties
Conjectures of Artin, Merel, and Serre
Icosahedral Galois representations
Cyclotomic points on modular curves
Serre's conjecture modulo
pq
Genus one curves
Bibliography
About this document ...
William Arthur Stein
1999-11-03