IIEST (Indian Institute of Engineering Science and Technology), Shibpur comes under Government funded technical universities and it takes admission through JEE Main Rank.
IIEST, Shibpur admission depend on Home state and category . To get CSE branch under other state and General category, your rank should be under 20000 and marks should be more than 160 in JEE Main.

To check other branch cut off, please go through below link:


http://www.engineering.careers360.com/colleges/indian-institute-of-engineering-science-and-technology-shibpur/cutoff