Suspect Sara Cole's arrest was the culmination of a two-month investigation that began after the victim's parents provided the department with information about the alleged crimes, police said.
Cole was interviewed last week and served a search warrant, which led to investigators seizing computer equipment and phones.
She was arrested without incident when she turned herself in to the police operations building.
She was booked on three counts of unlawful sexual intercourse with a minor, police said.
Her arraignment date and time are pending.
The Police Department has said it will not release information about the victim.