You should have mentioned your home state too. Following recommendations are based on 2019 JoSAA cutoff.
For more information regarding CSE cutoff for NITs follow this link : https://engineering.careers360.com/articles/nits-cutoff-for-btech-computer-science-engineering
However you have a chance to get a list of prescribed colleges against your rank. You just need to use JEE MAIN COLLEGE PREDICTOR. Click the link below, put necessary information and get result instantly.
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
All the best.
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