摘要
使用代数数论和p-adic分析,我们我到了椭圆曲线y^2=x^3+27x-62上所有的整数点。我们给出了一个全虚四次域的子环上计算基本单位和二次代数数"不相关分解"的方法。
Using algebraic number theory and p-adic analysis, we find all integral points on y^2 = x^3 ＋ 27x - 62. We give a computational method for finding tire fundamental unit and the set of ＂unrelated factors＂ of a quadratic algebraic number in the subring of a totally complex quartic field.
出处
《数学研究》
CSCD
2009年第2期117-125,共9页
Journal of Mathematical Study
基金
The project supported by NSFC(2001AA141010)
the Scientific Research Foundation of XiamenUniversity(0000X08103)
关键词
椭圆曲线
计算数论
基本单位
分解
p-adic分析
Elliptic curve
computational number theory
fundamental unit
factorization
p-adic analysis
