Deae aspirant

First of congratulations for your result and wishes for your future. Assuming from previous year's trend I can predict that your rank is about 70000.

You have not mentioned your category, so I assume you as an general category student. I am afraid to inform you that with your rank your chances of getting government colleges thorough WBJEE is almost impossible. If  your category was ST then might be chances your you.
However some of good private colleges you can get are
Guru Nanak Institute of Technology
Adamas University
Brainware University
Narula Institute of technology agarpara
Bengal institute of technology Dhapa
RCCIIT
MCKV institute of engineering , lilua
JIS college of engineering
University of engineering and management
check here further details

https://engineering.careers360.com/articles/wbjee-cutoff
predict your chances here
https://engineering.careers360.com/wbjee-rank-predictor

For IIEST Shibpur you have to sit for JEE MAIN

best wishes.

Hello, yes the ranks shown under the sc cutoff category is for SC category only and not for general category. There are different cutoffs for every category in every college. Through wbjee there are many colleges. For more information you can visit the following site: https://www.google.com/amp/s/engineering.careers360.com/articles/wbjee-cutoff/amp

Hope it helps.