The Integral Points on the Elliptic Curve y2=qx(x2+32)
DU Xiancun
LIN Xing
TANG Lihua
Abstract:Let q≡5( mod 8) be odd prime,we proved that the elliptic curve in the title has only integer point (x,y)=(0,0) with the help of some properties of Legendre symbol,congruence,odd number and even number.
Keywords:elliptic curveinteger pointcongruenceodd prime
Publication Date:2016-01-01
Online Publishing Date:2025-08-15(First online date of this platform, not the publication date of the document)
Pages:3( 391-393 )

ISSN:1008-8423
Year, Vol.(Issue):2016,34(4)