<div id="comment:0"></div> ```sage sage: K.<t> = QuadraticField(-10007^2) sage: a = t / 10007 sage: a.minpoly() x^2 + 1 sage: a.minpoly() in ZZ['x'] True sage: a.is_integral() False ``` Component: **number fields** _Issue created by migration from https://trac.sagemath.org/ticket/34800_