Hello,
It's a very reputed college with very good placement records from many years and hence the cutoff is a bit high.Like you can get branches like cse/it/ece at a score of 155-170 in jee mains.Although it depends on many factors like number of students appearing, level off questions, etc.For more details you can checkout the below given link:
https://googleweblight.com/i?u=https://engineering.careers360.com/colleges/indian-institute-of-engineering-science-and-technology-shibpur/cutoff&grqid=qYRQbymJ&hl=en-IN
All the best!!:)