The following code raises a SingularError in SageMath version 10.4.beta3 (with system singular enabled), and the same at https://sagecell.sagemath.org/ :
R.<x, y> = QQ[] f = -2*x^2*y^2 - x^3 - x^2*y + x*y^2 + y^3 + 2*x^2 + 2*y^2 - 2 C = Curve(f) assert C.genus() == 0 print(C.rational_parameterization()) The polynomial f is absolutely irreducible, and the given curve is rationally parametrized e.g. by (x, y) = (1/2*(t^3+t^2+t-1)/t^2, 1/2/t*(t^3+t^2-t+1)). -- Peter Mueller PS: To me as a naive end user, it looks like Singular has had recurring problems with basic things for many years that have worked smoothly in systems like Maple (and its algcurves package) for more than 30 years. -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-devel/edeec846-b8c7-48b9-a5b4-9f83d2193096n%40googlegroups.com.