Which one should I choose between IIIT Allahabad IT and Jadavpur University CSE if I am interested in coding and research in computer science?

The decision mainly depends on you and your preferences, not only about the subject but about your location preference, fees preference, etc. Jadavpur University being a government institution has lesser fees than IIIT Allahabad. JU is a reputed institution and if you are interested in coding you should definitely go for CSE at JU. It will provide you with the best knowledge and education on the respective subject.

Jadavpur University will always be better than IIIT Allahabad. The following points justifies the same:

• Jadavpur University has been ranked 12th by NIRF 2020 whereas IIIT Allahabad doesn’t even find a mention in the top 100 list.
• International Rankings - Jadavpur University CSE has been ranked right below the top 5 IITs and IISc. 
• All these people saying labs remain open one can code all they want. Students can code just as well on their laptop. 
• Coding is a minuscule part of computer science, students cannot get over this coding craze because it just gives them good jobs. 
• Computer Science is a vast subject and its backbone is its Department and research publications. 
• All of them are important but they all are secondary.

The table shows a brief overview of the institutions:

Though some people may be biased about their preferred institute. But if you compare between the given facts, you can definitely see that JU is far superior to IIIT Allahabad in every aspect. Being a Government institution the fees are also less than IIIT Allahabad, which is preferred by most of the students.