go for the special round and you have a good chance of getting it.

Dipmalya,

Last year cut off for various branches in IIEST shibpur general for other state was

Aerospace Engineering  13560

Civil Engineering  31632

 Computer Science and Engineering  12339

 Electrical Engineering  20802

 Electronics and Telecommunication Engineering  17628

 Information Technology 16540

 Mechanical Engineering  20844

 Metallurgy and Materials Engineering 35030

Mining Engineering  36714

So as you can see you can't get Civil there.

If you belong to West Bengal still you can't get civil there as closing rank was 36K.

You should still apply for iiiest you may get it... or you can get mining engineering there. 

For more colleges according to your rank you can check Careers360 college predictor link given below 

https://engineering.careers360.com/jee-main-college-predictor