UCSB CCS math vs UCLA

Hey guys, I just got off of the waitlist at UCLA today. I was, and still am, pretty set on CCS for math, but my parents are urging me to consider UCLA. I was wondering if any of you, especially math majors, have any advice. My goal is to go to a prestigious grad school and get a PhD in math, and I think CCS offers the best preparation for grad school, but my parents argue that the prestige of UCLA will get me into a better grad school than CCS will. What do you guys think?