Imaginary quadratic number field

This article defines a number field property: a property that can be evaluated for a number field

Definition

An imaginary quadratic number field is a number field obtained as a quadratic extension of the field of rational numbers by the squareroot of a negative square-free number. In other words, it is of the form $\mathbb{Q}[\sqrt{D}]$ where $D<0$.

Relation with other properties

Weaker properties

• Number field with positive algebraic norm