i have got 11459 rank in aeee can i get cse or cse specilization Or ece in amrita coimbatore campus and i have state quota too??

Yes, you can get admission in
Amrita School of Engineering, Coimbatore
For your sate quote

The cutoff is change every years change . It's depends on course also.

As per your choice for CSE the last year's cutoff is 13000 closeing rank

And also in Electricals & Electronics Engineering the cutoff is 16407 closing rank

For more information like placement , fees , seats you can visit this link

https://www.careers360.com/university/amrita-vishwa-vidyapeetham-coimbatore

Thank you. I hope this answer helps you.