Find an explicit isomorphism from a curve of genre zero to the Riemann sphere

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I can't figure out this exercise: i have this singular curve in $\mathbb{P}^2\mathbb{C}$ given by $\{[X,Y,Z]\in \mathbb{P}^2\mathbb{C}:X^2Y^2+Y^2Z^2+X^2Z^2=0\}$, I have shown that its desingularization is a curve of genus zero, but now I must find an explicit isomorphism with the Riemann sphere. I don't know how to do it, could anybody help me with that? thank you