You can use the college predictor which is available online to know the colleges you might be eligible for according to your rank. The rank, category and preferred branches have to be entered in the predictor. List of colleges along with the compatibility status will be made available for the candidates. Check the link of UPSEE college predictor below

UPSEE College Predictor

Hi Lakshya

The rank is a bit higher to the best of my knowledge in my view it will be difficult for you to get the core branch but in case of the tier 2 branch it can be within your reach.

All the best!!!!!!