  We pursue a classification of low-rank super-modular categories parallel to
that of modular categories. We classify all super-modular categories up to
rank=$6$, and spin modular categories up to rank=$11$. In particular, we show
that, up to fusion rules, there is exactly one non-split super-modular category
of rank $2,4$ and $6$, namely $PSU(2)_{4k+2}$ for $k=0,1$ and $2$. This
classification is facilitated by adapting and extending well-known constraints
from modular categories to super-modular categories, such as Verlinde and
Frobenius-Schur indicator formulae.
