  We attempt to compute expressions in terms of the Dedekind eta function for
all weight 2 new cusp forms with level up to 100, using methods of Allen et.
al. In cases where no expression exists, we raise the level instead of the
weight, meaning our eta quotients are always holomorphic. Of the forms we
examine, we find expressions for all but 4. We also present methods to find
expressions with relatively few terms, and how these expressions can be used to
demonstrate zeroes of modular forms.
