Mouninischal with 144 marks in the JEE Advanced examination under the OBC category tab you can expect the rank to be around 1500 in your OBC category. Although the rank is totally relative depending on different factors and as seen by the coaching's experts the cut-off of this paper is expected to fall and you can expect a little better rank.

With the range of 1000-1500 rank in the OBC category, you can expect to get a computer science branch only in the ultra new IITs like IIT Jammu, IIT Tirupati, IIT Goa etc. 

To get a better and clear understanding you can go through the link given below which shows the cut-off rank of each category in each branch of each IIT:

• https://engineering.careers360.com/articles/jee-advanced-cutoff-for-iits

Feel free to ask if you have any more queries. All the best!!