Draw the real part of a hypersurface in a real 3d-plot in the affine 3-space over C

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Is it possible to 3d-plot the (rational) real part of the affine 3-space over $\mathbb{C}$?

I tried the following:

A.<x,y,z> = AffineSpace(QQ,3)
C = Curve([y^2 + x^2 + z^2 -1], A)
C.plot()

My curve is of dimension $2$. Can you help? For a dimension $1$-curve the plot works finely.