Gabriela Cortez, 42, faces six felony counts of unlawful sexual intercourse.
According to detectives, Cortez had a sexual relationship with two male students, who were 16 and 17 at the time, while she was a teacher at Roosevelt High School in Boyle Heights. They also said the encounters took place at her home in Montebello in 2009 and 2010. Cortez was placed on leave upon her arrest last month.
Cortez is free on bail. She's due back in court next month.
The Associated Press contributed to this report.