2001 LHS won't start until it cools down
 

My 2001 LHS will periodically (about every 6 weeks or so) not start after I drive it about 45 minutes or so. The engine will not turn neither will the starter "click". The dash lights and everything electrical works but it will not start. The first time this happened I got my son to give me a jump and it started. After that, jumping it is a no go. I replaced the battery and cleaned the terminals because the local auto parts store tested it and told me it was a faulty battery. That was about two months ago but today it did it again. If I let the car sit for about 30 minutes it will start. It will then run fine for a while but all this happens again in 6-8 weeks. I do not know how to check the codes and did not do so.

possible starter if u hear a click more then likely that fast clicks a battery or battery cable issue

I don't hear any clicks. It is dead silence.

jump pin 30 and 87 see if the starter will turn then