Is there any way to plot xy diagram of points of elliptic curve over finite field with huge number p defined by standard EC (p-192,p-256...)?

Question

Is there any way to plot xy diagram of points of elliptic curve (such as NIST p-192,p-224,p-256...) over finite field? I tried with p-256, but it has very big number of p thus when I use for loop it takes huge amount of time to go through the loop. Is there any other way to find all points of the curve such as y^2 = x^3 -3*x + 0xFFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE FFFFFC2F and plot in efficient way?