Curves which look like (in weighted $\mathbb{P}(1,2,1)$) $y^2 = xz(x - az)(x - \tfrac{1}{a} z)$
Curves which look like (in weighted $\mathbb{P}(1,2,1)$)
$y^2 = xz(x - az)(x - \tfrac{1}{a} z)$