The exact prediction would be tough about the admission possibilities as JEE Main is being conducted twice by NTA for the first time.

Based on this score your probable rank will be 44,076 - 48,076 and your probable category rank range will be 11010 - 12610, With this rank the chances seems less to get the Core branches but other branches you can get in NIT Patna. You can use JEE Main College predictor tol to know your other chances.

https://engineering.careers360.com/jee-main-college-predictor

Noted: Rank Predicted is on the basis of the expected total number of students i.e. 1152650 appearing in the JEE Mains April Session.

Good Luck!