JEE Main

There are no government engineering colleges which have vacant seats for open category.

You can go for your state government engineering colleges, as you have scored less marks. Or, you can also go for private colleges.

JEE Mains 2018 College Predictor
Use your JEE Mains 2018 rank to see where you can get admission at the link provided below:
See the courses, colleges & rounds you may crack
The result is based on admissions data of JEE Mains 2017
Get resources & insights on colleges & courses
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

Sorry, but with this Marks in class 12th, you will not be able to get any IITs and NITs. May be you can get Government Colleges or you can go for Private Colleges. To know more about Colleges on the basis of your Marks and rank:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
You can go for other courses like B.Sc. BCA integrated courses and more.

You can pursue CSE in Sri City by going through last years cutoff in the last special round.
All the best.

Tell me your JEE Mains rank, category and also home state. So that I can answer this question better.

I guess, AAT is only for pursuing architecture from the IIT's
For NITs, only your JEE marks are enough.
Is this the Architecture Aptitude Test you are talking about?

Hello,
Hope you are doing well. Congratulations on passing the JEE Advanced examination with its cutoff range but as you said you have only 64 % in the 12th board so you are not allowed to get the college through JEE Advanced because it requires 75% to be eligible for IITs. You should go with JEE main score under sc category and try for NITs if you have a good ranking.

You will not get any NIT as far as I know. Your rank is too below.
All the best for the future.

You cannot get any NIT or IIIT but you can get some private colleges through the Jossa or you should try with the state counselling for private colleges. You can also go for IPU, Nirma, Amity, Chandigarh University, JECRC, etc.