Semicubical Parabola

Algebraic Equation: x3-ay2 = 0

Degree: 3

Singularities: [0:0:1]

Multiplicity: 2

Branching Number: 1

Genus: 0

Parameterized Equation:  x = at2, y = at3

Delta Invariant: 1

Milnor Number: 2

Tjurina Number: 2

Projective Plane: 1 cusp

Transformation: Semicubical Parabola → Cissoid of Diocles
                         
                          x = X
                          y = (√2)Y
                          z = (-1/2)X+Z





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