AE-26-1200 are low power coils, used in the pop bumpers. AE-24-900 might be the right one, I've seen those in ball popper type applications. Do you have the manual??
Still interested in knowing if the coil is the correct one or not.
wotto reported that it is correct as is in the manual - AE-027-1200 ..
I THINK they should measure around 7 Ohms.