1. An elliptic curve having large integral points
- Creator:
- He, Yanfeng and Zhang, Wenpeng
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- elliptic curve, integral point, and Diophantine equation
- Language:
- English
- Description:
- The main purpose of this paper is to prove that the elliptic curve $E\colon y^2=x^3+27x-62$ has only the integral points $(x, y)=(2, 0)$ and $(28844402, \pm 154914585540)$, using elementary number theory methods and some known results on quadratic and quartic Diophantine equations.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public