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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