椭圆曲线y^(2)=x^(3)+2021x-4050的整数点

Integral Points on Elliptic Curve y^(2)=x^(3)+2021x-4050

运用同余法、Pell方程解的性质等初等方法讨论了椭圆曲线y^(2)=x^(3)+2021x-4050的整数点的问题,证明了椭圆曲线其仅有整数点(x,y)=(2,0)。

By using the elementary methods of congruence and the properties of solutions of Pell equation,the problem of integer points of elliptic curve y^(2)=x^(3)+2021x-4050 was discussed,and it was proved that the elliptic curve has only one integral point(x,y)=2.0.