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    Elliptic Curve

    Named curves

    Burnside curve | Mordell elliptic curve | Ochoa elliptic curve | semicubical parabola

    Example plots

    Example plots Burnside curve

    Example plots Mordell elliptic curve

    Example plots Ochoa elliptic curve

    Example plots Semicubical parabola

    Alternate names

    cuspidal cubic curve | Neile parabola

    Equations

    semicubical parabola | x(t) = a t^2 y(t) = a t^3

    Burnside curve | y^2 = x (x^4 - 1) Mordell elliptic curve | y^2 = n + x^3 Ochoa elliptic curve | y^2 = x^3 - 440067 x + 106074110 semicubical parabola | y^2 = a^2 x^3

    semicubical parabola | r(θ) = a tan^2(θ) sec(θ)

    Common properties

    algebraic | elliptic

    Basic properties

    Burnside curve | A = (sqrt(π) Γ(3/8))/(4 Γ(15/8))

    Burnside curve | d = 5 Mordell elliptic curve | d = 3 Ochoa elliptic curve | d = 3 semicubical parabola | d = 3

    Derived curves

    | involute semicubical parabola | parabola

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