Amrita School of Engineering, Coimbatore campus is one of the best campuses so the cutoffs are quite high compared other campuses. Now you don't belong to the state therefore you'll be getting through Other state quota. For state candidates, the closing rank for Computer Science and Engineering lies around 13500 while the closing rank for other state candidates in Computer Science and Engineering branch lies around 1800 rank. However this is based on previous year cutoffs and this year the cutoffs may change. You can check the cutoffs of other branches and other campuses here https://engineering.careers360.com/articles/aeee-cutoff