JEE

The marks you have scored in your JEE examination is a quite decent one and as you are looking for the colleges in Uttar Pradesh, I would recommend you to get your rank by following link :

https://www.shiksha.com/college-predictor 

You can get admission in any renown private college or colleges such as Invertis University in Bareilly, Mangalmay group of institutions in greater noida, ABES engineering college in Ghaziabad. 

With your rank, to get computer Science engineering in any college in Delhi is very tough. Top engineering colleges in Delhi will have cutoffs much higher than your rank for the CSE branch. Admission to these institutions with such rank is generally not possible.
You can go for some private colleges. 

It is quite likely that you will be admitted to a National Institute of Technology (NIT) if your JEE rank is 27000. However, there are a number of criteria that will determine which NIT you can attend, including the availability of seats, your preferred engineering field, and the cutoff ranks for each NIT in a given year. To obtain an idea of which NITs you could have a chance of getting into with your rank, it's advisable to look up the prior year's NIT cutoff ranks.

You can get admission in any government college through UPTAC counseling as per data of opening-closing rank on the website I can check that you can get top government AKTU colleges like  Kamla Nehru Institute of Technical Sultanpur, Bundelkhand Institute of Engineering and Technical College Jhansi, all Rajkiya Engineering colleges like Banda Pratapgadh, Mirjapur Bijnor and many more.

If you want to take only Lucknow University yes also you can get the desired branch at Lucknow University at this rank.

I think you might get a seat easily in Shiva Nadar College; if not CS, there are various branches where you can get a seat. The courses offered at the university include B.Tech, B.Sc. (Economics), B.Com, B.Com (Professional Accounting), and PhD. Candidates can register and apply for these courses online by visiting the official website of the University.

Yes, definitely you can easily get a seat at Amrita School of Engineering Bengaluru in CSE as your marks are better than the criteria. Amrita School of Engineering Bengaluru application forms are available on the official website of the university. Eligible candidates can fill out the application forms online.

It is true that some colleges and universities accept applications from home state quota students as well as members of other backward classes (OBCs). A youngster who received a 98.99 percentile score in the JEE Mains 2024 exam is one such instance. With an OBC NCL certificate from Patna, he is a Delhi student doing his 12th year of schooling.
Finding out if a particular institute accepts both quotas requires looking through their admissions policies. For this reason, use the official phone number or email address listed on the official page to get in direct contact with the institute you want to enroll in.