Hello,

To get admission in main branch through AEEE for CSE you need  score above 140 so the rank equivalent to the score of 140 or above usually falls under the cut-off slab, with the score of 137 you have a chance as the cut-offs vary every year.

know more - https://engineering.careers360.com/articles/aeee-cutoff

Hope this helps,

All the best!