Thanks for the question.

With your rank, you can get branches in any of the IIT mentioned below -

1.

IIT Madras

62

5319

2.

IIT Bombay

1

4880

3.

IIT Patna

1541

7891

4.

IIT Indore

933

7732

5.

IIT (BHU) Varanasi

500

9805

6.

IIT Kharagpur

138

6312

7.

ISM Dhanbad

1655

9530

8.

IIT Delhi

24

5431

9.

IIT Roorkee

294

7531

10.

IIT Gandhinagar

493

6869

11.

IIT Hyderabad

418

6844

12.

IIT Kanpur

113

7469

13.

IIT Guwahati

406

8000

14.

IIT Jammu

4743

6219

15.

IIT Jodhpur

699

6006

16.

IIT Dharwad

2914

8478

17.

IIT Palakkad

2818

8648

18.

IIT Tirupati

2524

8536

19.

IIT Bhubaneswar

1497

8482

20.

IIT Ropar

898

7372

21.

IIT Mandi

1701

7124

22.

IIT Goa

3003

7571

Opening and closing ranks mentioned above 

Good luck