An Introduction to Mordell Weil Theorem

TL;DR

This paper introduces the Mordell-Weil theorem, covering basic properties of elliptic curves and providing two different proofs to enhance understanding of the theorem.

Contribution

It offers a clear introduction to the Mordell-Weil theorem with multiple proof techniques, enriching the foundational knowledge of elliptic curves.

Findings

Established basic properties of elliptic curves

Provided two different proofs of the Mordell-Weil theorem

Enhanced understanding of the theorem's significance

Abstract

This article is an introduction to Mordell-Weil theorem. In this article, I introduced some basic properties about ellptic curves and proved the theorem in two different ways.