Hello student,

With a JEE Mains rank of 57,677, you have a decent chance of getting into several NITs, IIITs, and other centrally funded technical institutions, though it might be challenging for top branches like CSE or ECE in the most sought-after NITs.

Here are some options where you might secure a seat:

1. NIT Patna - Possibly in branches like Civil, Mechanical, or Metallurgy.
2. NIT Raipur - Electrical, Mechanical, or Chemical Engineering.
3. IIIT Pune - Electronics or related branches.
4. IIIT Nagpur - Integrated programs or core branches.
5. NIT Meghalaya/NIT Mizoram - Various engineering branches.

Additionally, state engineering colleges that accept JEE Mains scores, like those in Punjab, Haryana, and Madhya Pradesh, may also be accessible. The exact college and branch will depend on your category, home state quota, and seat availability during counseling.

I would recommend you to use JEE college predictor tool by Careers360 to get the list of possible colleges you can get with your rank.

Here is the link to the tool:

https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

Click on the above link, fill the required details and you will get the list of possible colleges at your rank.

I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.

Thank you and wishing you all the best for your bright future.