The question is: does it mean that there is some kind of connection between y^2=x^3+7, and for example y^2=x^3+2? Or maybe there is another connection, where points on curves with identical p-value and n-value can be mapped? Does it mean, that if we have b=0x7, where there are "n" points, and for example b=0xc curve also has the same amount of points, then does it mean we can map them 1:1?
You may also have a look at Jacobian coordinates of points and this bijection might become more clear for you: you're getting the same point using the same X and Y, but changing third Z coordinate. By saying the "same point" I mean the point which might be projected to any isomorphic plane. Note, that not all the possible Z values might be projected to initial curve (with Z=1).