An elliptic curve having large integral points

作者：He Yanfeng^*; Zhang Wenpeng

来源：Czechoslovak Mathematical Journal, 2010, 60(4): 1101-1107.

DOI：10.1007/s10587-010-0075-6

• elliptic curve
• integral point
• Diophantine equation

The main purpose of this paper is to prove that the elliptic curve E: y (2) = x (3) + 27x - 62 has only the integral points (x, y) = (2, 0) and (28844402, +/- 154914585540), using elementary number theory methods and some known results on quadratic and quartic Diophantine equations.

• 出版日期2010-12
• 单位延安大学; 西北大学