How many Lombardi trophies does patriots have?

The Patriots as a franchise, have won a total of 4 Super Bowls and played in 8.

They won the following years:

2001 (MVP Tom Brady),

2003 (MVP Tom Brady)

2004 (MVP Deion Branch)

2014 (MVP Tom Brady)

Their most recent win was Super Bowl XLIX for the 2014 season.

The Patriots have played in the Super Bowls for the following years:

1985, 1996, 2001, 2003, 2004, 2007, 2011, 2014.