The deceased girl, a class eleven student hanged herself at her residence at Parnashree in Behala police station area on Tuesday night, Deputy Commissioner of Police R Khan said.
She took her own life after she discovered the fake Facebook account with her morphed photos and telephone number allegedly uploaded by her friend, Faizal Iman Khan, the DC said.
The girl had met Khan online some months ago and also met him in person, before falling out with him recently, police said.
The schoolgirl left behind a six-page suicide note.
Khan and two of his associates Dipak and Satish were arrested under section 305 of IPC (abetment of suicide of child or insane person) and provisions of the IT Act.