Hello aspirant.

As you are from general category it is quite difficult to get cse in amrita, coyembator with rank of 5744 from different states. But if you are from home state your chance of getting cse will increase. Other branches you can get easily.But you can easily get amrithapuri cse with this rank. congrats for your great performance.

You can check here also:

https://engineering.careers360.com/articles/aeee-cutoff

Hope this will help you.