2001 Harley Davidson Sportster 1200 C cranks but won't start. Doesn't seem to be getting spark to plug

if there is no spark when u crank it it means there is a problem with your starter coil u fix that everything will be alright. There is no need to change your battery.

Wasted spark system. If fuel and electrical is all good/correct it is often the case in these symptoms that motor cycle spark plugs that although looking good and firing outside of the engine are breaking down and will not fire under compression pressures on a power stroke but will fire unburned fuel on the unpressurized exhaust stroke when the plug again fires in a wasted spark ignition system and when so firing the result is a backfire, usually quite loud.

check coil, carb adjustment, and relays

Have you checked to see if you have fuel IN THE CARBURETOR? In 1996, Harley went to a vacuum operated petcock and they've had troubles with them. The diaphragm in the backside of the petcock gets a hole in it and it doesn't allow for a full flow of fuel. Ride the bike with the air filter off until it quits. When it quits, look into the mouth of the carb with the engine not running and crank the throttle grip to wide open throttle. There is a brass nozzle standing just inside the mouth of the carb. When you crank the throttle grip to wide open, you should see a stream of gasoline squirt into the carb. If not, the carb has no fuel in it even though the fuel tank may be full. You'll have to drain the tank and remove the petcock. Take the plate off the backside and take a look at the diaphragm. Gently stretch it while holding it up to the light and check for holes. Personally, I'd replace the petcock with a high quality mechanical petcock and plug the vacuum hose. You'll have to manually turn the fuel on and off old-school style but you won't have anymore petcock problems.

Good Luck
Steve

Check your spark plugs for damage at the electrodes; state of plug wires; coil and ground connections... Could also be lean air/fuel mix and/or low float level causing it to run lean.

check air cleaner. check fuel shut off valve.