  The fusion rules and braiding statistics of anyons in $(2+1)$D fermionic
topological orders are characterized by the modular data of a super-modular
category. On the other hand, the modular data of a super-modular category form
a congruence representation of the $\Gamma_\theta$ subgroup of the modular
group $\mathrm{SL}_2(\mathbb{Z})$. We provide a method to classify the modular
data of super-modular categories by first obtaining the congruence
representations of $\Gamma_\theta$ and then building candidate modular data out
of those representations. We carry out this classification up to rank $10$. We
obtain both unitary and non-unitary modular data, including all previously
known unitary modular data, and also discover new classes of modular data of
rank $10$. We also determine the central charges of all these modular data,
without explicitly computing their modular extensions.
