Well amrita coimbatore and all the other branches are facing stiff competition every year as no of candidates applying for amrita are increasing year by year so accordingly cut off ranks are shifting up too, though nothing can be predicted with 100% accuracy since it depends upon current years level of difficulty of aeee , no of candidates applying to cse from state quota to coimbatore campus and in the merit list above you etc etc , keeping these facts in mind cut off rank for amrita cse at coimbatore ranges between 5k-13500 so according to this yes you can get CSE/CSE AI at amrita with the rank you mentioned above also the fact that you have been alloted electrical and computer engg in trial allotment confirms it yet this process remains subjective due to above mentioned reasons.