Hi aspirant,

You have obtained 586 rank in JEE Advanced 2020. It would be difficult to tell you your exact possibilities without knowing your category. However, with such rank you have better opportunities to get CSE. You can predict your college and branch options based on this rank by using the JEE Advanced college predictor tool by clicking on the following link. You just need to enter your rank and select your category,  whichever you belong to. https://engineering.careers360.com/jee-advanced-college-predictor?icn=QnA&ici=qna_answer

Hope it helps you.