Hello aspirant,

Congratulations for getting such pretty rank in AEEE. According to your rank you have high chances to get admission in CSE OR ECE as the last year cut offs are near to the 6000 to 7000 rank so you have great opportunity in amrita coimbtoor campus. I am giving the last year cut offs link through which you may get clear the idea about your admissions

https://engineering.careers360.com/articles/aeee-cutoff

Best of luck for your career.