2 problems

Let $d'$ and $d”$ be coprime positive integers, and let $\mathcal{L}$ be the set of Loeschian integers, namely integers of the form $x\bar{x}=a^2-ab+b^2$ for…

Let $D$ be a positive nonsquare integer, let $\mathbb Z[\sqrt D]$ be the quadratic order, and let $N$ be the minimum of the absolute values of negative norms of elements of…