The French Team is an all girls school
In 2005 the Harry Potter franchise saw the release of the its fourth film Harry Potter and the Goblet of Fire. In it there is an exchange program between schools for the Triwizard Tournament. Two other schools of magic come to Hogwarts to compete - one from France and the other from Bulgaria. Coincidentally a stylized letter 'B' on a quartered shield of arms are represent the French Academy of Magic.
Dark and light blue colours
Someday J.K. Rowling will release the rights and allow writers, hopefully French to expand and write about the Adventures at Beauxbatons Academy of Magic. French Harry Potter heads would probably consume Beauxbaton Adventures like popcorn-crack.
The all girls school of magic from France
with Champions Banner
Beauxbaton allows no boys! It's an all girls school and some women would prefer to learn all about magic without men to influence or distract them from their magical talents.
A small pennant for Allez
Cheers form the French "Allez," which basically means "come on" in English or "ganbate" in Japanese. Five pointed stars are important symbols for Beauxbatons Academy of Magic.