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Nov 20, 2010 at 21:37 comment added William Stein Having seen many beginners learn about the descent algorithm, both from the perspective of Silverman-Tate and Galois cohomology, I think it's probably better for even a beginner to just learn Galois cohomology and learn descent the right way. All the notation and equations in the presentation in Silverman-Tate really obscure what is going on, in my experience.
Oct 14, 2010 at 1:32 comment added Victor Miller A beginner would be much better off starting off with "Rational Points on Elliptic Curves" by Silverman and Tate (aka Tate's Haverford Lectures).
Oct 13, 2010 at 14:04 history answered Robin Chapman CC BY-SA 2.5