An elementary proof of the group law for elliptic curves

TL;DR

This paper provides an accessible, straightforward proof of the elliptic curve group law using explicit formulas, making the concept more understandable.

Contribution

It introduces an elementary proof of the elliptic curve group law, simplifying the understanding of its algebraic structure.

Findings

Explicit formulas for the group law are derived.

The proof is accessible and does not rely on advanced algebraic geometry.

Clarifies the algebraic structure of elliptic curves.

Abstract

We give an elementary proof of the group law for elliptic curves using explicit formulas.