The Arithmetic of Elliptic Curves
《The Arithmetic of Elliptic Curves》 · 第 243 页 · Chapter VIII,Section 8「The Minimal Discriminant」,Definition
The minimal discriminant of $E/K$, denoted by $D_{E/K}$, is the (integral) ideal of $K$ given by $D_{E/K}=\prod_{v\in M_K^0}\mathfrak p_v^{\operatorname{ord}_v(\Delta_v)}$, where $\Delta_v$ is the discriminant of a minimal equation at $v$.