An elliptic curve \(E\) defined over a number field \(K\) is said to have **good reduction** at a prime \(\mathfrak{p}\) of \(K\) if the reduction of \(E\) modulo \(\mathfrak{p}\) is smooth.

**Authors:**

An elliptic curve \(E\) defined over a number field \(K\) is said to have **good reduction** at a prime \(\mathfrak{p}\) of \(K\) if the reduction of \(E\) modulo \(\mathfrak{p}\) is smooth.