Which Indian god has the head of an elephant?
Ganesha
Although he is known by many attributes, Ganesha's elephant head makes him easy to identify.[8] Ganesha is widely revered as the remover of obstacles,[9] the patron of arts and sciences and the deva of intellect and wisdom.[10] As the god of beginnings, he is honoured at the start of rites and ceremonies. Ganesha is also invoked as patron of letters and learning during writing sessions.[11][2] Several texts relate mythological anecdotes associated with his birth and exploits and explain his distinct Ganesha likely emerged as a deity as early as the 2nd century CE,[12] but most certainly by the 4th and 5th centuries CE, during the Gupta period, although he inherited traits from Vedic and pre-Vedic precursors.[13] Hindu mythology identifies him as the restored son of Parvati and Shiva of the Shaivism tradition, but he is a pan-Hindu god found in its various traditions.[14][15] In the Ganapatya tradition of Hinduism, Ganesha is the supreme deity.[16] The principal texts on Ganesha include the Ganesha Purana, the Mudgala Purana, and the Ganapati Atharvashirsa. Brahma Purana and Brahmanda Purana are other two Puranic genre encyclopedic texts that deal with Ganesha.
Uchchhishta Ganapati
The elephant-headed god is described to be reddish in colour in the "Mantra-maharnava", while mentioned as dark in the "Uttara-kamikagama". Another description describes him to be blue in complexion. The deity is described to have four or six arms. He is described to be seated, sometimes specifically noted in on padmasana (a lotus pedestal). The "Uttara-kamikagama" elaborates that he wears a "ratna mukuta" (jewelled crown) and has a third eye on his forehead.