J-invariant: Difference between revisions
From Elliptic Curve Crypto
def |
off by factor of 4 |
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Line 5: | Line 5: | ||
is defined to be | is defined to be | ||
:<math>j=\frac{ | :<math>j=\frac{6912a^3}{4a^3+27b^2}</math> | ||
or | or | ||
:<math>j=\frac{- | :<math>j=\frac{-432a^3}{\Delta}</math> | ||
in terms of the elliptic [[discriminant]] Δ <ref>Wolfram MathWorld: j-Invariant. https://mathworld.wolfram.com/j-Invariant.html</ref>. | in terms of the elliptic [[discriminant]] Δ <ref>Wolfram MathWorld: j-Invariant. https://mathworld.wolfram.com/j-Invariant.html</ref>. |
Revision as of 16:45, 3 January 2025
The j-invariant of an elliptic curve in Weierstraß normal form
is defined to be
or
in terms of the elliptic discriminant Δ [1].
- ↑ Wolfram MathWorld: j-Invariant. https://mathworld.wolfram.com/j-Invariant.html