Fire and Ice

Jadence LaRay is a part of Erudite.
But when she take her test, she finds out she belongs elsewhere.
When she goes to her new faction, she becomes close with a boy from her home faction and with a boy from Abnegation, both whom can't stand to be around each other but she learns to love them both. As time goes on, she falls head over heels in love with one of the boys and the other sets up shop in her life making it chaotic

Starts before Divergent