Yes, that is a parallel circuit. Use the formula for parallel resistance to figure out the coil size needed to do this. Running four equal size coils in parallel will drop the resistance to 1/4 of what each coil is. Four 50-ohm coils will act as one 12.5-ohm coil. Remember that this increases the amperage by a factor of 4. If each coil would draw 5 amps, the combination will draw 20 amps.
The way this is usually done is to have a common buss (terminal strip) at each end of the coils, with the 120VAC on the busses. You want a ceramic buss with high temp stainless screws/clamps.
Run in series, the resistance is additive.