Do all photons have the same electric field

I deliberately wrote that heading not quite accurate, as a photon is more of a probability thing, and so might not have an electric field at all. But what I'm getting at is, we know a photon doesn't have a well defined amplitude, but it does have a frequency.

So what I wan't to know regarding the electric field of an EM wave, is E⃗=Eocos(ωt−kx)



and that Eo is dependant on the amount of photons in the wave, thus power is dependant on intensity rather than frequency of the individual photons. Does this mean that all photons are like a Plank Electric potential or something, regardless of frequency?



Thanks