A parallel coil in theory increases your coil surface area, theoretically resulting in more vapor production. It also halves the overall resistance (ohms). It is essentially a dual coil masking as a single coil.
For example, two single coils of 1.2 ohms on a RDA gives an overall resistance of 0.6 ohms. Wrap those two 1.2 ohm wires together (parallel) and you should still get 0.6 ohms.
Two 0.6 ohm parallel coils should give an overall resistance of 0.3 ohms; essentially what four 1.2 ohm single coils would be (a quad coil build). Get my drift?
Just remember that varying diameters yield coils with widely varying resistance. 30 gauge will let you wind more turns than 28 gauge for a given length. Also note that with more vapor production, there will be more
e-liquid consumption. Along with this, you'll be able to drop your nic concentration.
You probably already know, but always use an ohm reader or digital multimeter to measure your overall atomizer resistance prior to actually firing the coil. Insure that that coil will not draw more amps than the battery has to give. When using an Ohm's law calculator, always use 4.2 volts as the voltage (a fully charged battery).