I got 86%ile in jee main any chance to get heritage college through jee main

you can try . As per rank 86% in jee mains the rank should be  150000 to 150500 rank .

In heritage college , kolkata it is different for different course

Previous years cutoff

B.Tech Applied Electronics and Instrumentation Engineering - 9550 closing rank

B.Tech Biotechnology Engineering - 16402 closing rank

B.Tech Chemical Engineering - 12425 closing rank

B.Tech Civil Engineering - 14319 closing rank

B.Tech Computer Science and Engineering - 3435 closing rank

B.Tech Electrical Engineering - 7299 closing rank

B.Tech Electronics and Communication Engineering - 5735 closing rank

B.Tech Information Technology -4245 closing rank

B.Tech Mechanical Engineering - 10989 closing rank

You can do one think you can predict your rank and preferable college also from below link

JEE Main College Predictor link
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

JEE Main Rank Predictor
https://engineering.careers360.com/jee-main-rank-predictor

Thank you. All the best . I hope this answer helps you.