2 problems

Let $l>3$ be a prime with $l\equiv 3\pmod{4}$, let ${\mathsf{k}}=\mathbb{Q}(\sqrt{-l})$, and let $p$ be a prime that is non-split in ${\mathsf{k}}$. Let $\mathfrak{P}_0\mid p$ be t…

Let ${\mathsf{k}}$ be an imaginary quadratic field with class number $h_{\mathsf{k}}$, and let $\mathsf{H}_{\mathsf{k}}$ be its Hilbert class field with class number…