To get admission into any college through jee mains score you need to appear into the jee counseling named as JOSAA. You can register for the counseling by going through their official website after that you can see what colleges you may get with your rank and you have to select among them only.

Top engineering colleges that accepts jee main score in Kerala are,

• Indian Institute of Space Science and Technology, Thiruvananthapuram
• National Institute of Technology Calicut
• Government Engineering College, Thrissur
• Indian Institute of Information Technology, Kottayam

Hope it helps.

Thank you.