Hello aspirant

Hope you are doing great there . First of all congratulations for such a wonderful rank . With the rank mentioned by you above , you can easily get a seat in some IIT . Most probably you will get a branch of your choice , but there are chances that you might have to manage with a poor branch .

For more help in predicting colleges for yourself , You can refer to the link given below .

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

I hope my answer helps

Wish you all the very best !