On Positive Integral Points on Elliptic Curve y2=x3-17x+114

ZHAO Jian-hong DU Xian-cun

Journal of Southwest China Normal University(Natural Science Edition)

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2018 Volume 43 Issue 4

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ZHAO Jian-hong DU Xian-cun. On Positive Integral Points on Elliptic Curve y2=x3-17x+114[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(4): 11-14.

Citation:

ZHAO Jian-hong DU Xian-cun. On Positive Integral Points on Elliptic Curve y2=x3-17x+114[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(4): 11-14.

On Positive Integral Points on Elliptic Curve y2=x3-17x+114

ZHAO Jian-hong DU Xian-cun

Department of Teachers Education, Lijiang Teachers College; College of Teachers Education, Honghe University;

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Abstract

In this paper, we are to prove the elliptic curve y2=x3-17 x+114 has no positive integer points by the unique decomposition theorem, some properties of congruence, Legendre symbols, odd and even number, solution of the Pell equation.
- elliptic curve,
- positive integer point,
- Pell equation,
- congruence,
- Legendre symbols
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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