Description Available in: The BYU Cougars men's basketball team represents Brigham Young University in NCAA Division I basketball play. Established in 1902, the team has won 27 conference championships, 3 conference tournament championships and 2 NIT Tournaments (1951 and 1966), and competed in 29 NCAA Tournaments. It currently competes in the West Coast Conference. From 1999–2011, the team competed in the Mountain West Conference.