Assuming it started and ran before you changed the battery, and changing the battery actually is when the problem began, the starter relay wire has been left off and needs to be connected at the battery terminal. I would need more information to diagnose it further.
on the left to the rear of the seat (sportster)
12.
Next to the battery.
Try checking the gorund cable at the opposite end from the battery. I had one come loose on my sporty and it would not start but the lights would come on.
12 volt
12 volt.
Yes, of course it does.
YOUR SPORTSTER BATTERY (DEPENDING UPON THE YEAR) IS NORMALLY GOING TO BE LOCATED UNDER THE DRIVERS SEAT, INSIDE THE BIKE FRAME. TRY REMOVING YOUR SEAT AND LOOKING TOWARDS WHERE ALL THE ELECTRICAL WIRES ARE RUNNING TO (THE BATTERY) MY '07 SPORTSTER HAS A BATTERY (RUOGHLY 8"X6"X4") IS FACING FORWARD UNDER SEAT AND BEHIND A PLASTIC COVER WHICH IS ON THE LEFT SIDE.
Yes, a battery cover for a 2006 Harley Nightster works perfectly for a 2006 Harley Sportster custom with a little fabrication.
Remove the Seat.
follow the battery cable to the starter, you can't miss it.
On newer Sportsters the module is located under the battery. You have to remove the battery then pull up on the rectangular cover of the module on the bottom of the battery tray.