沈阳大学学报（自然科学版）2024，Vol.36Issue(2)：179-184,6.
椭圆曲线y2=(x-2)(x2+2x+m)的整数点
Integral Points on Elliptic Curves y2=(x-2)(x2+2x+m)
摘要
Abstract
Let p was an odd prime satisfied p ≡ 5(mod12),q=p-3/2 was odd prime or 1,m was a positive integer with m=3p-8.Using the elementary number theory methods and relevant results of the quadratic Diophantine equations,all integral points(x,y)on the elliptic curve y2=(x-2)(x2+2x+m)were given.关键词
椭圆曲线/同余/整数点/勒让德符号/四次丢番图方程Key words
elliptic curve/congruence/integral point/Legendre symbol/quartic Diophantine equation分类
数学引用本文复制引用
曹雅丽,杨海,李瑞阳..椭圆曲线y2=(x-2)(x2+2x+m)的整数点[J].沈阳大学学报（自然科学版）,2024,36(2):179-184,6.基金项目
国家自然科学基金资助项目(11226038,11371012) （11226038,11371012）
陕西省自然科学基金资助项目(2021JM443). （2021JM443）
