Discriminant

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The discriminant of an elliptic curve in Weierstraß normal form

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y^2 = x^3 + ax + b}

is defined to be

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when the field characteristic is not 2 or 3 [1].

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