Abstract
In this paper, we studied the elliptic curve y2 = (x – a)(x2 + ax + r), a, r ∈ Z+ in the case of a = 6,r = 7 which has no relevant conclusions up to now. And we obtained the conclusion of the integer points on Elliptic y2 = (x – 6)(x2 + 6x + 7), elliptic curve in title has only one integer point (x, y) = (6,0) were proved with the help of the elementary methods such as congruence and Legendre symbol.
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