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.

**Author(s):** David Loeffler

74 Pages