I grew up in Syracuse New York with one brother.
How big of a city is Syracuse?
According to a 2010 census, the city had about 145,000 people and the metro area had about 662,000.
That is bigger than I expected.  I know that they have a pretty prestigious university there.  
Yes there is. also Syracuse New York is the biggest city with the name "Syracuse".
I did not know there were other cities with the name Syracuse
There are. And the university you were asking about is Syracuse University.
I recall the Syracuse Orange basketball team winning the NCAA championship in 2003.
Syracuse Orange men's basketball
The Syracuse Orange men's basketball program, known traditionally as the "Syracuse Orangemen", is an intercollegiate men's basketball team representing Syracuse University. The program is classified in the Division I of the National Collegiate Athletic Association (NCAA), and the team competes in the Atlantic Coast Conference (ACC).
Syracuse is considered one of the most prestigious college basketball programs in the country with 3 overall claimed National Championships and 1 NCAA Tournament championship, as well being a National Runner-up
Syracuse, New York
Syracuse () is a city in and the county seat of Onondaga County, New York, United States. It is the fifth-most populous city in the state of New York following New York City, Buffalo, Rochester, and Yonkers.
At the 2010 census, the city population was 145,252, and its metropolitan area had a population of 662,577. It is the economic and educational hub of Central New York, a region with over one million inhabitants. Syracuse is also well-provided