what will be the state rank with a score of 586 in WB &college

State rank is the rank which is calculated on the basis of candidates appeared from a particular state. State rank is released by State Counselling authorities. State authorities ask for state counselling registration where candidates apply and based on their merit obtained in the examination, the state authorities release merit lists. There you can get your State Rank. The state rank will be released by the state counselling authority after the registration process gets over.
And with 586 marks, considering you as a general category candidate, you can expect

• Coochbehar Government Medical college
• IQ City Medical College
• Icare Institute of Medical science and Research and Dr BC Roy Roy Hospital
• Jagannath Gupta Institute of Medical Sciences and Hospital
• Raiganj Government Medical college and Hospital
• Shri Ramakrishna Institute of Medical Sciences and Sasanka Hospitals etc.

But keep in mind that these are based on last year's data and this year the cutoffs can change. To get complete list of all colleges you can get based on your rank use this link http://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer