With Jefferson opting out of running again, it was time for a new candidate for the Democratic-Republicans. This time James Madison got the nomination.
Vice President George Clinton ran as his running mate too. Making him later a Vice President who served under multiple presidents.
Federalists once again nominated Charles Cotesworth Pinckney and ran again with Rufus King.
The only thing the Federalist had to run with was the unpopular Embargo Act of 1807. It put a halt to European trade, and really hurt New England merchants. Even though that itself later turned into a bigger mess, it wasn't enough to turn over Jefferson's popularity.
So Madison won with a pretty safe margin. Madison picked up 64.7% of the vote versus Pinckney's 32.4%. Madison also had 122 electoral votes versus his opponent's 47. There were some faithless electors who voted for George Clinton which doesn't make much sense.