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Elliptic Curves by David Loeffler

Elliptic Curves by David Loeffler

Elliptic Curves by David Loeffler

This note provides the explanation about the following topics: Definitions and Weierstrass equations, The Group Law on an Elliptic Curve, Heights and the Mordell-Weil Theorem, The curve, Completion of the proof of Mordell-Weil, Examples of rank calculations, Introduction to the P-adic numbers, Motivation, Formal groups, Points of finite order, Minimal Weierstrass Equations, Reduction mod pII and torsion points over algebraic extensions, Isogenies, Hasse’s Theorem and Galois cohomology.

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s74 Pages
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