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Please distinguish the pin base types: there are G24, 2P 4P, and G23, Gx23 etc. Check your old CFL lamp base so to confirm the existing fixture is G24q or Gx24q socket.
If your socket is 2P, pls choose from G24d or G23 GX23 to E26/E27 Adapter below.
No Ballast is Required. It is 100% that PL-C down light fixture has ballast inside. THROW AWAY the ballast before install the LED light, otherwise the ballast will make resonance high voltage which destroy the light, reviews like burnt, smell, hot, flicking are all results that not bypass the ballast correctly.
Even you are replacing with E26/E27 CFL, you need remove the ballast also. Otherwise, the CFL E26/e27 Lamp will not work on.

1.Turn Off the Power.
2. Find the Ballast. Usually it is embedded inside the ceiling fixture. Please pull off the existing PL lamp, reflector. Leave wire in junction box,find the ballast.
3. Normally, the Ballast has a black and white wire on the input side (AC input side,100-120V for North America). It also has two red and two blue output wires.
To bypass this ballast, please cut all the Input and output wires, so total 6 wires cut.
4.Then you can connect the two red wires to the black wire.
5.Next, connect the two blue wires to the white wire. now ballast is bypassed

This is 4P Short 15.5mm GX24Q Base, NOT FOR 2P;NOT FOR DIY!!! NEED REWIRING/BYPASS/ REMOVE the ballast,the Ballast has a black and white wire on the input side, two red and two blue output side. To bypass this ballast,cut all the Input and output wires,and connect 2 Red to Black,2 Blue to White wire.
THE BALLAST IN YOUR FIXTURE MUST BE REMOVED OR BYPASSED FOR THESE ADAPTERS TO FUNCTION PROPERLY. CONSULT AN ELECTRICIAN IF YOU ARE UNSURE. DO NOT OPERATE A LED BULB WITH A BALLAST IN THE FIXTURE, DOING SO WILL LIKELY DAMAGE THE BULB.
All pin-based CFL, like GX24Q G24 GX23 G23 are lamp-ballast separated, but all screw-in E26 E27 are lamp-ballast integrated. ballast is a must to start a high voltage(600V-1500V 1ms) to light up the CFL, but it is dangerous for LED Lamp. Because LED Lamp are built with LEDs and Driver which is transforming the 100-240V AC to DC for LEDs. So the LED Driver input should be 100V-240V or 85-265V, so 600-1500V will be too high, and easily destroy the led lamp.
There are LED bulbs with Driver compatible with the ballast,which you may find work without bypass ballast. BUT no LED Driver can be compatible with all ballast.Ballast is there consuming power,cause high temperature which will damage LED Bulb, So the Professional doing is bypass it. All pin-based CFL is ballast-lamp separated, E26/E27 bulbs are self-ballast.