with 
.
Cartesian parametrization:
where 
is the associated Weierstrass function (cf [Eymard Lafond] p. 220).| next curve | previous curve | 2D curves | 3D curves | surfaces | fractals | polyhedra |
ELLIPTIC CUBIC
| Cartesian equation:
with
.
Cartesian parametrization:
where
is the associated Weierstrass function (cf [Eymard Lafond] p. 220). |
An elliptic cubic is a cubic without singularities.
Any elliptic cubic is projectively equivalent to a divergent parabola, whose equation is given above, or to a Chasles cubic, or a cubic hyperbola.
Examples: the non-rational circular cubics, the Lamé cubic, the Humbert cubic.
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© Robert FERRÉOL 2017