There are many colleges available which are considered to be decent to pursue B.Tech in Automobile Engineering -

Government

Indian Institute of Technology Madras

Delhi Technological University, Delhi

National Institute of Technology Warangal

Private

SRM University, Chennai

Manipal Institute of Technology, Manipal

Amrita School of Engineering, Coimbatore

VIT University, Vellore

PSG College of Technology, Coimbatore

To check the list of colleges, you can check below link -

https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-India?f%5B0%5D=sm_college_course_level%3AUG&f%5B1%5D=sm_college_degree%3AB.E%20/Btech&f%5B2%5D=sm_course_offered%3AAutomobile%20Engineering

Good Luck!!!