Looking for solutions to $xy^2 = (1 + z)^2 (5 + 8z)$ in integers

56 Views Asked by At

I've been reading about Weierstrass equations and shifted Weierstrass equations and Mordell curve and elliptic curves, but so far I haven't been able to transform my equation to any of this type. Could you give a direction to where I should be looking? Thanks.