The magical school in J.K. Rowling's Harry Potter series is Hogwarts, formally called Hogwarts School of Witchcraft and Wizardry.
Hogwarts is a fictional coeducational boarding school in Scotland and the principal setting of the early Harry Potter story. Young witches and wizards generally begin there at age eleven and study for seven years, learning subjects such as Charms, Transfiguration, Potions, and Defense Against the Dark Arts. Students are sorted into four houses: Gryffindor, Hufflepuff, Ravenclaw, and Slytherin.
The school first appears in Harry Potter and the Philosopher's Stone, published in 1997. Its motto, Draco dormiens nunquam titillandus, translates from Latin as “Never tickle a sleeping dragon.” Hogwarts is protected by enchantments that keep it hidden from ordinary people, known in the wizarding world as Muggles.
Ilvermorny is another wizarding school, located in North America, while Beauxbatons and Durmstrang are European schools. They are important to the wider Wizarding World, but Hogwarts is the canonical answer for Harry's school.