With a score of 570-580, your rank might be approximately between 13,000-15,000. This is an expected rank range: https://medicine.careers360.com/articles/neet-result-marks-vs-rank .We need the State you belong to because each State has its own cut offs for various Categories for State Quota and AIQ.  Cut offs change every year depending on various factors such as no.of Candidates appearing for the exam, no.of Candidates qualified, top NEET score and difficulty of the exam. For complete list of colleges that you may have a shot at, please use our College predictor: https://medicine.careers360.com/neet-college-predictor?