Elliptic Curves With Surjective Global Galois Representation
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Elliptic Curves with Surjective Global Galois Representation
Let E/K be an elliptic curve over a number field K. Let GK be the absolute Galois group Gal(K¯/K). The action of GK on the torsion points of E defines a continuous representation r:GK→AutE tor≃GL 2&parl0;Z&d4;&parr0; . We refer to rho as the global Galois representation associated to E.
Elliptic Curves and Big Galois Representations
Author: Daniel Delbourgo
language: en
Publisher: Cambridge University Press
Release Date: 2008-07-31
Describes the arithmetic of modular forms and elliptic curves; self-contained and ideal for both graduate students and professional number theorists.