Below are the top colleges for software engineering

Indian Institute of Technology, Delhi
Indian Institute of Technology, Bombay
Indian Institute of Technology, Kharagpur
Indian Institute of Technology, Kanpur
Indian Institute of Technology, Madras
Indian Institute of Technology, Roorkee
Manipal Institute of Technology, Manipal
Delhi Technological University, Delhi
Birla Institute of Technology and Science, Pilani
Jadavpur University, Kolkata
International Institute of Information Technology, Hyderabad
Indian Institute of Technology, BHU
National Institute of Technology, Tiruchirappalli
National Institute of Technology, Surathkal
National Institute of Technology, Rourkela
Malviya National Institute of Technology, Jaipur
VIT University, Vellore
Thapar University, Patiala

In order to take admission in these colleges you should appear for JEE (Main+Advanced), Manipal, BITSAT and VITEE exam.

To know about these exams you can refer below link
https://engineering.careers360.com/exams

Good luck!!