Likely a passkey malfunction. Check the security light to confirm. Very common problem. I don't know about lesaber but my 92 olds would run for about 5 sec and turn off. My 98 would not turn over at all. I bypassed both cars passkey using this method:
You need a decent multimeter and ability to do some basic math. Resisters are available at radio shack but unlikely you would get an exact match. I had to run 2 resisters in series and a 3rd set of 3 in parallel to get the right inpediance.