  We consider algebraic surfaces, recently constructed by Schreieder, that are
smooth models of the quotient of the self-product of a complex hyperelliptic
curve by a $(\mathbb{Z}/3^c\mathbb{Z})$-action. We show that these surfaces are
elliptic modular surfaces in the sense of Shioda, meaning in particular that
they are universal families of explicit moduli of elliptic curves.
