The Integral Points on the Elliptic Curve y2 =px(x2-2)
ZHAO Jingjing
Abstract:Let p be a positive prime such that p is square free.We proved that if every prime divisor q of p satis fies q≡3(mod8),then the elliptic curve in title has no positive integer points;if every prime divi-sor q of p satisfies q≡5(mod 8),then the elliptic curve in title has at most two positive integer points.
Keywords:elliptic curveinteger pointodd 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( 40-41,59 )