Engineering Entrance Exam

Getting NIT, Trichy at this rank and percentile can be difficult as according to the last year the cutoff for SC students in all the branches is as low as 78, but can try upto the last round of the counselling maybe you can get into this college.

Eligible candidates need to appear for the Amity Joint Entrance Examination (Amity JEE). Written Test - Shortlisted candidates will be called for essay writing based on rank obtained in Amity JEE.
Personal Interview: Shortlisted candidates will be called for personal interview based on the score obtained in essay writing.
Final Selection: Candidates are selected based on Amity JEE rank, score obtained in 10+2 & essay writing and performance in personal interview.
Link: https://www.shiksha.com/b-tech/course/b-tech-in-computer-science-and-engineering-amity-university-noida-206768

See for getting admission in IIT, Roorkee for B.Tech in Civil Engineering you have to get good marks in the JEE Advance paper only then you can get that not on the basis of Mains paper.

Mentioning all the college is not possible in which you can get admission, but yes you can get into almost all the college leaving the top 5 colleges for the core branches and in almost all the colleges you can get admission in that.

Yes, you are eligible to get admission in the NITs as according to this rank, but you must have 65% in boards also only then you can get admission in any college of JEE Mains.

Use JEE Mains College Predictor:
Enter your JEE Main 2019 rank to predict your colleges. https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

Please Use JEE Mains College Predictor and enter your JEE Main 2019 rank to predict your colleges. https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Getting NIT, Trichy for B.Tech. in Computer Science and Engineering seems impossible at this rank as according to the last year cut off the closing percentile is 95 for this stream in this college.

You can get admission in Amity University for B.Tech in Computer Science and Engineering through JEE mains and also through UPSEE or can apply directly to this college.

See at this score you can get the SASTRA University but getting B.Tech in computer science and engineering
branch may be difficult for you as the last year the closing percentile is 93 for this branch.