Sage Math elliptic curve with singularity points

2
votes

I am new in sage and I have a problem. I am trying to plot the curve f(x,y)=y^2 - x^2*(x+3), but it never works. Can somebody help ?

I tried this:

sage: E = EllipticCurve([0,3,0,0,0]);
sage: E;

and it gives the error ArithmeticError: invariants (0, 3, 0, 0, 0) define a singular curve.

1
mathplotcurvesageelliptic-curve
Are you getting an error message or unexpected behaviour? Update your question with why it "never works" - Lima
i tried this: sage: E = EllipticCurve([0,3,0,0,0]); sage: E; and it gives the error ArithmeticError: invariants (0, 3, 0, 0, 0) define a singular curve - user3233804

1 Answers

2
votes

You need to do an implicit plot.

f(x,y)=y^2 - x^2*(x+3)
implicit_plot(f,(x,-3,3),(y,-3,3))

Looks singular to me! That would explain your error, probably EllipticCurve only will work with nonsingular curves.