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An elliptic curve $E$ over a number field $K$ is semistable if it has multiplicative reduction at every bad prime, and has potential good reduction if its $j$-invariant is integral.

If $E$ has potential good reduction then it cannot be semistable unless it has everywhere good reduction.

Knowl status:
  • Review status: reviewed
  • Last edited by Andrew Sutherland on 2022-08-15 17:15:46
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