JEE Main

For the lower NITs core branches like mechanical, civil you need to score in between 140-160. And for the branches like CSE you need to score in between 160-180. and for the average NITs core branches you need to score 200-220.

JEE Main 2023: Candidates must secure 75% marks (65% for SC, ST) in their Class 12 final examination, in addition to qualifying in JEE Main for admission to National Institutes of Technology (NITs), Indian Institutes of Information Technology (IIITs) and other Centrally Funded Technological Institutions (CFTIs). .

Your NTA score is very less. It is hard to get admission in the government college with this score. Yes but you can try with your state level counselling. If you can score better in state level counselling then you can get admission in government college.

You should go to the college you want to take admission and enquire regarding this because it differs for every college. And every college has their own policies regarding the special quota admission.

484849 in JEE Main is quite a low rank. However you have not mentioned any other details like your category, the home state you belong to as the cutoffs also depend on them. Now if we go through the cutoffs of various NITs, if you belong to general category, then getting CSE might be difficult. Apart from CSE, you can expect Civil, Mechanical, Electrical and Electronics Engineering in NITs such as Uttarakhand, Jalandhar, Jaipur, Patna, Andhra Pradesh, Durgapur etc. Under All India quota. You may get CSE in North East NITs or NIT Srinagar, Hamirpur etc. As the cutoffs are low.

I give you closing rank of last year in 2021 in CSAB 2nd round in some of the colleges. NITs
NIT Rourkela-
Life Sciences-
98148 (gen)/ 124067 (obc)
NIT Agartala
Production -
93695 (gen)/ 128982 (obc)
Biotech- 104838 (gen)
Physics -
80074 (gen)/ 117018 (obc)
Chemistry- 122254 (gen)
NIT Srinagar-
Chemical-
83598 (gen)/ 116302 (obc)
Civil-
94197 (gen)/ 132546 (obc)
Metallurgy-
125194 (gen)/ 142110 (obc)
NIT Andhra-
Biotech-
75580 (gen)/ 94757 (obc). .

YES YOU CAN EASILY GET CSE IN LNMIIT AT THIS SCORE if you are belong to female category. The expected cutoffs are as follows
CSE : ABOVE 97 PERCENTILE
CCE : 96 to 97 PERCENTILE
ECE : 95 to 96 PERCENTILE
ME : 93 to 94 PERCENTILE.

For getting Computer Science Engineering in any NIT your percentile should be at least above 96 of you are a OBC Candidate so that you can get admission in low NIT's like NIT Nagaland, NIT Srinagar and this solution.