Three Lectures about Explicit Methods in Number Theory Using SageΒΆ

This article is about using the mathematical software Sage to do computations with number fields and modular forms. It was written for the October 2008 Bordeaux meeting on explicit methods in number theory (http://www.math.u-bordeaux.fr/gtem2008/). It assumes no prior knowledge about Sage, but assumes a graduate level background in algebraic number theory.