Hi Aspirant!
First of all as you have not mentioned your category I am considering it to be General.According to Careers360's rank predictor with 51 percentile your predicted Rank will be around 442417 - 512567. Now according to previous year last round cutoff of JoSSA there is no chance of you to get any seat,because there is no category advantage.On top of that you have merely low chances to get college even after applying Home State Quota.But you can try your luck in CSAB special counselling.
I hope it helps
You can follow these Career360's articles for a better understanding of cutoffs.
NIT: https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches
IIIT: https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits
GFTI: https://engineering.careers360.com/articles/jee-main-cutoff-for-top-gftis
Also, you can follow up this Career360's article for more information on CSAB SPECIAL COUNSELLING:
https://engineering.careers360.com/articles/csab-special-round-for-nits-iiits-and-gftis
Also don't forget to check out the Career360 College Predictor to know your college admission chances based on your JEE Main Rank, Home State, Caste, Gender, etc. https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
HAPPY HUSTLING!
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