Count the ordered pairs again-2

Number Theory Level 5

Find number of ordered pairs \((x,y)\) of non negative integers such that \(x^2+3y\) and \(y^2+3x\) are simultaneously perfect squares.

\(\bullet\)Enter \(777\) as answer if there are infinte number of ordered pairs.

\(\bullet\) Ordered pair means \((11,12\) and \((12,11)\) are considered different.

This is a part of Number Theory Plus


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