That answer depends on whether you are a resident of Tamil Nadu or not. 

If you are, then you are surely elligible for cs at amrita coimbatore, as the cutoff is around 13000. 

On the other hand if you are NOT from Tamil Nadu, you stand a slim chance, (almost 0,) to get into cs there. The cutoff is around 1800. You can however get into any other branch and then through internal sliding get to cs. Goodluck