I have a 2006 STS. While deiving the other day it completely shut down, engine, electricals, everything. When I pulled over it started right up. This happened 5 times on the way home. Next day, normal
First thing to check is your battery connections and the battery posts. Take them apart and clean them till they are shinny. Reconnect them and put on some battery post protector spray.
I started mine drove around and it cut off didn't turn back on
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