 Four totally ramified Weierstrass values

The Weierstrass elliptic function has degree two on its period torus. Its three distinct half-period values $e_j$ have double local preimages, and its pole is double, so these four values are totally ramified. This also follows from ${\wp }^{\prime 2}=4{\prod }_j(\wp -e_j)$ and the principal part at the pole. A Möbius transformation with pole away from these values moves all four to finite values without changing local degrees.