Integral Points on Elliptic Curves y2=(x-2)(x2+2x+m)
Let p was an odd prime satisfied p ≡ 5(mod12),q=p-3/2 was odd prime or 1,m was a positive integer with m=3p-8.Using the elementary number theory methods and relevant results of the quadratic Diophantine equations,all integral points(x,y)on the elliptic curve y2=(x-2)(x2+2x+m)were given.
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