I think this is a bug:

sage: Kt.<x,y,z,t>=QQ[]
sage: J=[x*y*z-t^2,x+2*y+3*z-t-1]
sage: Ideal(J).dimension()
2
sage: C=Curve(J);C
Affine Curve over Rational Field defined by x*y*z - t^2, x + 2*y + 3*z - t - 1
sage: C.genus()
1
sage:

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