On quaternion algebras that split over quadratic number fields

Vincenzo Acciaro, Diana Savin, Mohammed Taous +1

Let $d$ and $m$ be two distinct squarefree integers and ${\mathcal{O}}_K$ the ring of integers of the quadratic field $K=\mathbb{Q}(\sqrt{d})$. Denote by $H_K(\alpha ,m)$ a quaternion al…