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An elliptic curve \(E\) defined over a number field \(K\) is said to have split multiplicative reduction at a prime \(\mathfrak{p}\) of \(K\) if the reduction of \(E\) modulo \(\mathfrak{p}\) has a nodal singularity with both tangent slopes defined over the residue field at \(\mathfrak{p}\).

Knowl status:
  • Review status: reviewed
  • Last edited by John Jones on 2018-06-19 15:35:43
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