the following code
from sage.schemes.elliptic_curves import EllipticCurve
E = EllipticCurve('y^2 = x^3 + 1', field='GF(8)')
points = E.points()
print(points)
E.plots()
always returns the following error : ImportError: cannot import name 'EllipticCurve' from 'sage.schemes.elliptic_curves'
You are trying to define a singular curve
For real elliptic curves you can try
F=GF(5^2,'a')
E=EllipticCurve([F(0),F(1)])
E
Elliptic Curve defined by y^2 = x^3 + 1 over Finite Field in a of size 5^2
pp=E.points()
[p.xy() for p in pp[1:]]
gives all finite points
For finite fields plot is defined for prime fields
F=GF(101)
E=EllipticCurve([F(0),F(1)])
E
Elliptic Curve defined by y^2 = x^3 + 1 over Finite Field of size 101
E.plot()
gives the plot
Asked: 2023-05-06 09:44:49 +0100
Seen: 189 times
Last updated: May 06 '23
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You could try
from sage.schemes.elliptic_curves.all import EllipticCurve.