Hi

You can use JEE Main college predictor to know according to your rank which colleges you are getting.Below i am sending you the link,do go and visit:-

Https://engineering.careers360.com/jee-main-college-predictor?icn=jeemain-cp-qna&ici=exit-intent

Coming back to your question,Yes you are eligible for admission with CSE branch.Getting government college is not possible but ya you can get CSE branch in private colleges. 

Hope this was helpful.

Good Luck!!!!!

Thank-You!!!!!