摘要
利用同余、奇偶分析、二次同余式及二元二次方程解的结构及解序列的递归性质等初等方法,证明了椭圆曲线y 2=x 3+49x-106的全部整数点为x,y=(2,0),11,±42.
Using elementary methods including the properties of congruent,parity analysis,quadratic congruence,structure and sequence of solution for binary quadric equation,the elliptic curve only has positive integral point 11,42 was proved.
作者
冉银霞
RAN Yin-xia(Longnan Teachers College,College of Mathematics and Information Science,Gansu Chengxian 742500,China)
出处
《青海师范大学学报(自然科学版)》
2020年第4期16-19,31,共5页
Journal of Qinghai Normal University(Natural Science Edition)
基金
甘肃省高等学校创新基金项目(2020-B367)。
关键词
椭圆曲线
整数点
二元二次方程
同余
elliptic curve
integral point
binary quadric equation
congruence