Possibilities for Shafarevich-Tate Groups of Modular ... - William Stein
Possibilities for Shafarevich-Tate Groups of Modular ... - William Stein
Possibilities for Shafarevich-Tate Groups of Modular ... - William Stein
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Jacobians <strong>of</strong> Curves<br />
If X is an algebraic curve then<br />
Jac(X) = { divisor classes <strong>of</strong> degree 0 on X }.<br />
Example: Let X 1(N) be the modular curve<br />
parametrizing pairs<br />
(E, embedding <strong>of</strong> Z/NZ into E).<br />
The Jacobian <strong>of</strong> X 1(N) is J 1(N).
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