With 60.33 percentile you can expect ranks of around 405824 - 456205 which you know is insufficient for NIT's.

Now if you see the past year trends, then NIT Trichy ranks for Computer Science[as per 2019 data] (as most student aspire CSE, I am considering it since you didn't provided any preferences):

Home State Quota:

Male - 1300

Female: 1435

For other states:

Male - 138

Female - 420

These are the category ranks. Now to get such a SC rank you should have to improve your performance above 85 percentile at least.

For other branches you can check the link provided below:

https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-trichy

For JEE MAINS preparation tips, visit the link provided below:

https://engineering.careers360.com/articles/jee-main-preparation-tips

I hope my answer helps. All the very best for your future endeavors!