Enrollment at UCB is 37k, which only puts it slightly above Harvard (21k), Columbia (22k), Cornell (20k), and UPENN (20k).

Also, UCB outranks most of the ivyleague in the sciences, engineering and computer science on most measures --

http://www.topuniversities.com/university-rankings/world-uni...

http://www.shanghairanking.com/FieldSCI2015.html

http://www.usnews.com/education/best-global-universities/ran...