| 椭圆曲线y~2=x~3+27x-62的整数点 |
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| 引用本文： | 吴华明. 椭圆曲线y~2=x~3+27x-62的整数点[J]. 数学学报, 2010, 53(1): 205-208 |
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| 作者姓名： | 吴华明 |
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| 作者单位： | 湛江师范学院数学与计算科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10771186); 广东省自然科学基金项目(06029035) |
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| 摘 要： | 根据四次Diophantine方程的已知结果,运用初等数论方法证明了:椭圆曲线y~2=x~3+27x-62仅有整数点(x,y)=(2,0)和(28844402,±154914585540).
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| 关 键 词： | 椭圆曲线 整数点 Pell方程 |
| 收稿时间： | 2008-12-30 |
Points on the Elliptic Curve y2=x3+27x-62 |
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| Hua Ming WU School of Mathematics , Computational,Zhanjiang Normal University,Zhanjiang ,P.R.China. Points on the Elliptic Curve y2=x3+27x-62[J]. Acta Mathematica Sinica, 2010, 53(1): 205-208 |
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| Authors: | Hua Ming WU School of Mathematics Computational Zhanjiang Normal University Zhanjiang P.R.China |
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| Affiliation: | School of Mathematics and Computational, Zhanjiang Normal University, Zhanjiang 524048, P. R. China |
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| Abstract: | Using some known results of quartic diophantine equations with elementary number theory methods, we prove that the elliptic curve y2=x3+27x-62 has only the integral points (x, y)=(2, 0) and (28844402, ±154914585540). |
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| Keywords: | elliptic curve integral point Pell equation |
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