An elliptic curve has bad reduction at a finite place when its reduced minimal Weierstrass equation is singular, equivalently when its minimal discriminant has positive valuation.

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  1. Reduction of an elliptic curve
  2. Minimal Weierstrass equation
  3. Weierstrass equation of an elliptic curve
  4. Elliptic curve
  5. Genus one curve
  6. Geometric genus
  7. Normalization of an algebraic curve
  8. Algebraic geometry
  9. Geometry and topology
  10. Area of mathematics
  11. Mathematics
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