Elliptic Curve Integral Points on y2 = x3 + 19x + 46

2018 International Conference on Advanced Materials, Intelligent Manufacturing and Automation

材料科学;机械制造;运输工程

Zhao, Jianhong^1

Department of Teachers and Education, Lijiang Teachers College, Lijiang, YUNNAN

674199, China^1

关键词: Elementary number theory;    Elliptic curve;    Integer point;    Legendre;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/382/5/052038/pdf
DOI  :  10.1088/1757-899X/382/5/052038

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

By using elementary number theory methods, such as congruence and Legendre Symbol, it can be proved that elliptic curve y2 = x3 + 19x + 46 has no integer point.