A.<x,y> = AffineSpace(QQ, 2)
C = Curve([(x^2+y^2)^4 - 3(x^2+y^2)^2 - 2(x^2-y^2)], A)
C.genus()
C.genus() is zero, but C.parameterization() give error.
The given curve resamble (but differ) with "Durer-folium" and I study a family of these curves. How to get a (rational) parametrization for it? Thanks!