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Hello,
Since you have not mentioned your home state. I am assuming it to be Delhi and the answer is consistent with the assumption. In case your home state is different use the link provided at the end of the answer.
On the basis of your AEEE rank 1623, home state Delhi you can get CSE in all three branches of Amrita, i.e.:
So to answer your question. You have good to high chances of making it to CSE in Coimbatore campus.
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All the best.
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