椭圆曲线y^2=(x+2)(x^2-2x+43)的整数点  

The Integral Points on the Elliptic Curve y^2=(x+2)(x^2-2x+43)

作　　者：李玉龙[1] 赵建红 万飞[1] LI Yu-longl;ZHAO Jian-hong;WAN Fei(College of Teacher Education,Honghe University,Mengzi 661199,China;College of Teacher Education,LiJiang Teachers College,Lijiang 664199,China)

机构地区：[1]红河学院教师教育学院,云南蒙自661199 [2]丽江师范高等专科学校教师教育学院,云南丽江664199

出　　处：《数学的实践与认识》2018年第12期287-291,共5页Mathematics in Practice and Theory

基　　金：云南省科技厅应用基础研究计划青年项目(2017FD166)

摘　　要：利用初等方法证明了椭圆曲线y^2=（x＋2）（x^2-2x＋43）仅有整数点（x,y）=（-2,0）.Using elementary number theory methods, the elliptic curve in title has no positive integer points were proved.

关 键 词：椭圆曲线 整数点 同余 LEGENDRE符号 

分 类 号：O156[理学—数学]