The Positive Integral Points on the Elliptic Curve y2=qx(x2+32)
ZHAO Jianhong
Abstract：Let q be a positive odd number,which has no square factor,and prime factors qi(i∈Z+) satisfy qi≡5(mod 8).It was proved that y2=qx(x2+32) has no positive integer points by using some properties of congruence,Legendre symbol.
Keywords：elliptic curvepositive integer pointcongruenceLegendre symbol
Publication Date：2017-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：3( 134-136 )