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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.

If $E$ has good reduction at every prime of $K$ then $E$ is said to have everywhere good reduction.

Knowl status:
  • Review status: reviewed
  • Last edited by John Cremona on 2020-12-03 10:27:55
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