  Let $d$ be a positive square-free integer $\equiv 3 \pmod{4}$ such that there
is no invariant of the ideal class group $\mathbb{Q}\lbrack \sqrt{-d}\rbrack$
which is divisible by $4$. We prove an asymptotic formula for the number of
immersed totally geodesic surfaces in $\Gamma_{-d}\backslash \mathbb{H}^3$
having area less than $X$.
