Hello student I'm sorry to inform you but no Jadavpur University does not offer admission through Jee main,it only offers admission through WBJEE. Cut off vary every year on various factors like level of question number of aspirants and seats offered.
As per previous year records it's expected that to get admission in top notch branches aspirants need to secure rank under 150. (for general category)

For more details refer to the link mentioned below -
https://www.google.com/amp/s/engineering.careers360.com/articles/wbjee-cutoff/amp

Feel free to comment if you've any doubt
Good luck

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