For any real number $d,$ define $$\mathbb{Z}[\sqrt{-d}]: = \{a+b\sqrt{-d}: a,b\in \mathbb{Z}\}.$$
It is well-known that $\mathbb{Z}[\sqrt{-2}]$ and $\mathbb{Z}[\sqrt{-1}]$ are ED but not fields, $$\mathbb{Z} \bigg[ \frac{1+\sqrt{19}}{2} \bigg]$$ is a PID but not ED, $\mathbb{Z}[\sqrt{-5}]$ and $\mathbb{Z}[\sqrt{-4}]$ are UFD but not PID.
What interests me is that different $d$ places $\mathbb{Z}[\sqrt{-d}]$ in different position in the class hierarchy.
Question: For all integer $d,$ do we know the position of $\mathbb{Z}[\sqrt{-d}]$ is the class hierarchy?