On the Diophantine equation x~3±1=3Dy~2

Using the properties of congruence and some other methods in number theory,researched the solutions of Diophantine equation x 3 ± 1 =3Dy2,D = 2αqp,q,p are all odd prime numbers,α =0or1,q ≡5(mod6),p = 12 r2 +1,where r is a positive integer.Proven that the Diophantine equation has no solution,this result promotes the research of this kind of Diophantine equations.