According to previous year's cut off analysis though its subjective changes every year, depending upon the current years level of AEEE exam difficulty or number of open state quota candidates above your rank etc.

It is very tough to get admission with 12000 rank in AEEE, as cut off for amrita generally closes at  7690 approx. For open state quota candidates.

So you have negligible chance of getting any branch at any of the campuses .

According to previous years cut off analysis though its subjective changes every year depending upon current years level of aeee exam difficulty ,no of open state quota candidates above your rank etc etc it is very tough to get into amrita through an aeee rank of 12000, as cut off for amrita generally closes at max to max around 7890 for open state quota candidates , so you have no-meagre chances of getting any branch at any of the campuses.