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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

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2 Answers 2

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There are no integral points on this curve as established by SageMath. Here is a code to run

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X=237225/196, Y= $\pm$ 115541397/2744

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  • $\begingroup$ I'd hazard a guess that OP wants a solution in integers. $\endgroup$ Commented Jan 29, 2021 at 12:25
  • $\begingroup$ @gerry myerson yes I want a solution in integers $\endgroup$
    – sonu
    Commented Jan 29, 2021 at 15:31

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