Consider the following statements about the Rashtrakuta empire.
1) It was founded by Dantidurga by overthrowing the Chalukyas of Vatapi (Badami) and the capital was fixed at Manyakheta.
2) The Rashtrakuta kings Dhruva, Govinda III and Indra III invaded North India.
3) The king Amoghvarsha wrote 'Kavirajamarga', the earliest Kannada book on poetics.
4) The king Krishna I built the Kailash(Shiva) temple at Ellora.
Which of the statement(s) given above is/are correct?