rational parameterization for a octic curve

asked 2026-03-11 05:14:30 +0100

vlbz gravatar image

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!

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