Consider the following pencil of cubics: $\lambda C_1+ \mu C_2$ where $C_1=y^2z$ and $C_2=x(x^2+2xz+z^2)$ and the elliptic fibration $\tilde X \rightarrow \mathbb P^1$ induced by the blow-up of $\mathbb P^2$ respect to the nine base points (counting multiplicity) of the pencil.
We have only two singular fibers corresponding to $C_1$ and $C_2$.
Why these fibers are of type $I^*_0$?