You can check the top colleges for Automobile engineering below

Government

National Institute of Technology Warangal

National Institute of Technology Patna

Private

SRM University, Chennai

Manipal Institute of Technology, Manipal

Lovely Professional University, Phagwara

PSG College of Technology, Coimbatore

SASTRA University, Thanjavur

To check the complete list you can refer below link

Top Automobile Engineering Colleges

Good luck!!