# Positive-rank elliptic curves arising pythagorean triples

## TL;DR

This paper introduces new families of elliptic curves with positive rank derived from Pythagorean triples, expanding the understanding of their algebraic and number-theoretic properties.

## Contribution

It presents novel constructions of elliptic curves with positive rank based on Pythagorean triples, which were not previously documented.

## Key findings

- New families of elliptic curves with positive rank identified
- Connections established between Pythagorean triples and elliptic curve ranks
- Potential implications for number theory and algebraic geometry

## Abstract

In the present paper, we introduce some new families of elliptic curves with positive rank arrising from Pythagorean triples.