Getting a core branch at JU with that rank is really tough. The simple answer is you can't get a seat there. Please note that there is no scope in admission through WBJEE with the help of category rank. Your rank must be less than 500 if you want a seat in JU.

You may opt for Kalyani Government Engineering College ( KGEC ) and Jalpaiguri Government Engineering College ( JGEC ). It would be best if you go for NITs rather than these colleges under state universities.