Classification of norm-Euclidean imaginary quadratic integer rings

Statement
The following are the precise values of $$D < 0$$, $$D$$ square-free for which the imaginary quadratic integer ring corresponding to $$D$$ is a fact about::norm-Euclidean ring of integers.

$$\{ -1, -2, -3, -7, -11 \}$$.

Note that for $$D \equiv 2 \mod 4$$ or $$D \equiv 3 \mod 4$$, the quadratic integer ring is given by $$\mathbb{Z}[\sqrt{-D}]$$, while for $$D \equiv 1 \mod 4$$, the quadratic integer ring is given by $$\mathbb{Z}\left[\frac{1 + \sqrt{D}}{2}\right]$$.