Derivation of the Frey curve for $a^2+b^6=c^p$

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At the bottom of page $5$ in Bennet Chen's paper, they give the Frey curve for $a^2+b^6=c^p$ as:

$Y^2=X^3−3(5b^3+ 4ai)bX+ 2(11b^6+ 14ib^3a−2a^2)$

Can anyone tell me how they derived this Frey curve?