When you are considering CSE at IIT Indore and IITP, the major difference that comes into play is the student activities and the groups that will help you shape your career than any faculty or curriculum. In my opinion, IIT Indore is much better as compared it IIT Patna.
You will also find a really good functional programming group at IIT Indore. It also has a number of ACM ICPC contests that are enriched into you right from your junior year. The senior-junior interaction is also pretty great considering CSE. Here is some more information regarding IIT Indore:
Additionally, you should also consider the opening and closing ranks at both institutes. From my knowledge, IIT Indore CSE accepts higher ranks as compared to IITP which accepts lower ranks. Clearly, the former has good rank holders, good faculty, and better coding culture. It is much more developed.