If we have a subset in the complex plane $\mathbb{C}^2$ that consists of the following seven points:
$(-1,6), (8,-24), (-\frac{8}{9},\frac{152}{27}), (4,4), (-8,8), (-\frac{512}{16256}, -\frac{16256}{1331}), (-\frac{8}{9}, -\frac{152}{27})$
Then how do we prove that at most $5$ points in the subset are contained in one smooth conic in $\mathbb{C}^2$