Hello Sayan, 

Well with a rank of 5277 in WBJEE , you are very likely to get admission in GCECT Kolkata. In 2016 the max closing rank for CSE was 46321 and in 2017 it was 17117. So  you are very much likely to get a seat in this college . 

You can also go through this link and checkout the cutoff trends for the different branches in GCECT : https://www.careers360.com/colleges/government-college-of-engineering-and-ceramic-technology-kolkata/cut-off

I also have listed down some of the top colleges under WBJEE along with their cutoffs for CSE and IT -

• Jadavpur Unuversity : CSE - 5950 , IT - 30833
• Heritage Institute of Technology : CSE - 39556 , IT - 49960
• Maulana Abdul Kalam Azad University of Technology : CSE - 2803 , IT - 2343
• Techno India University : CSE - 43131

Note : The above mentioned cutoffs are 2018 cutoff.

You can also go through this link and checkout the detailed cutoffs for different colleges under WBJEE : https://engineering.careers360.com/articles/wbjee-cutoff

Also, you can visit this link and checkout the top engineering colleges under WBJEE : https://engineering.careers360.com/colleges/ranking/2017/top-engineering-colleges-in-west-bengal-accepting-wbjee-score

Good Luck !!!