The Integral Points on the Elliptic Curve y2=3mx(x2-8)

被引：0
作者：
Fei, Wan [1 ]
Zhao, Jianhong [2 ]
机构：
[1] Honghe Univ, Coll Teachers Educ, Mengzi 661100, Yunnan, Peoples R China
[2] West Yunnan Univ Appl Sci, Dali 671009, Yunnan, Peoples R China
来源：
2ND INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, MODELLING, AND INTELLIGENT COMPUTING (CAMMIC 2022) | 2022年 / 12259卷
关键词：
elliptic curve; integral point; congruence; Legendre symbol;
D O I：
10.1117/12.2641054
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This paper mainly proves that the elliptic curve y(2) = 3mx(x(2) - 8) only have integer point (x,y) = (0,0) with the help of elementary method such as the properties of congruence and Legendre symbol.
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页数：6
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