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Explicit characterization of the torsion growth of rational elliptic curves with complex multiplication over quadratic fields

Enrique González-Jiménez

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Magma script related to

• Auxiliary file: functions CM_EllipticCurve, PrimitiveDivisionPolynomial, CMInvariants
• Torsion over the rationals: Proofs of section 3
• Torsion growth over quadratic fields: Proofs of section 4.
• Remark 5
  

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