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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

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Mordell like equation [closed]

This looks like a mordell like equation X²=Y³-25056 How to solve it? The exact equation is (36x)²=(6y)³-25056 Is there any website has records of the equation x²=y³+k For k>25000