Discriminant: Difference between revisions

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or
or


:<math>\Delta = \frac{-432a^3}j</math>
:<math>\Delta = \frac{-110592a^3}j</math>


in terms of the [[j-invariant]] when the field characteristic is not 2 or 3 <ref>Wolfram MathWorld: Elliptic Discriminant. https://mathworld.wolfram.com/EllipticDiscriminant.html</ref>.
in terms of the [[j-invariant]] when the field characteristic is not 2 or 3 <ref>Wolfram MathWorld: Elliptic Discriminant. https://mathworld.wolfram.com/EllipticDiscriminant.html</ref>.

Revision as of 16:58, 3 January 2025

The discriminant of an elliptic curve in Weierstraß normal form

is defined to be

or

in terms of the j-invariant when the field characteristic is not 2 or 3 [1].

  1. Wolfram MathWorld: Elliptic Discriminant. https://mathworld.wolfram.com/EllipticDiscriminant.html