  In this paper we provide a combinatorial tool to help study some topological
properties of modular knots. We construct templates for the infinitely many
Anosov flows on the trefoil complement, which are lifts of the geodesic flow on
the modular surface, by lifting Ghys' modular template using self-covering of
the trefoil complement of order $6k+1$, for $k\in \mathbb{N}_{>0}$. This allows
to study the knot properties of closed geodesics in these flows, and an
explicit construction of an infinite family of links of two components with one
of them being the trefoil, all commensurable to one another.
