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Hello Aspirant,
Since you have not mentioned your category so considering it as General.
So on such CRL rank in JEE-Main you have good chances to get top NITs with CSE/IT branch but on such JEE-Advance 2021 AIR you have very low or almost no chances to get CSE in any of the IITs because closing AIR for IITs with CSE were around 2k. But note that you can definitely go for some other branches in IITs on such AIR.
If we go through previous year's data of seat allotment then on the basis of CRL mentioned in the question by you, you can go for the enlisted colleges :-
Motilal Nehru National Institute of Technology Allahabad - Computer Science Engineering (3073)
National Institute of Technology Calicut - Computer Science and Engineering (3682)
National Institute of Technology Rourkela - Computer Science and Engineering (3296)
Visvesvaraya National Institute of Technology, Nagpur - Computer Science and Engineering (4708)
And some more. You can check out previous year's cut-offs from the official website of JOSAA as given below :-
https://josaa.nic.in/Result/Result/currentorcr.aspx
Note that the above list is merely a prediction which has been made on the basis of latest cut-offs available on official website of either JOSAA or CSAB and the cut-offs are bound to change every year depending upon various factors such as the number of candidates appearing in an examination, the number of candidates qualifying an examination, difficulty level of the paper, and so on.
So you can use JEE-Main College Predictor to predict your chances of admission in different engineering colleges of India on the basis of your JEE-Main 2021 result :-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
For your reference, you can check out the link given below to have better idea :-
https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits
You can also refer to the link given below for previous years JEE-Advanced cut-off for IITs :-
https://engineering.careers360.com/articles/jee-advanced-cutoff-for-iits
To have a list of all those colleges which you can get based upon your marks, category, and state you can use JEE-Advance College Predictor:-
https://engineering.careers360.com/jee-advanced-college-predictor?icn=QnA&ici=qna_answer
I hope this information helps you.
Good Luck for your future!!
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