Hi aspirant...!

Hope you're doing great...!

So, with regard of you're query. JEE(joint entrance examination) is conducted by NTA. In this year, JEE MAINS is conducted twice,  after the  completion of first session of JEE MAINS you will receive the result of first session and as well as for second session. After completion of JEE ADVANCE the JOSSA counselling will be held in that counselling sessions, you can get into IIT'S and NIT'S.

College of Engineering (COEP) in Pune offers 40 courses in two streams: engineering and information technology, as well as over four degrees, including B.Tech, B.Plan, M.Tech, and M.Plan. COEP B.Tech admission is through the Maharashtra Common Entrance Test (MHT CET) or the Joint Entrance Exam Main, which is administered by the Maharashtra State Common Entrance Test Cell (JEE Main).

So, you should write MHT CET or JEE MAINS examination to enter into COEP

for, further information I am providing you a link below. Go through it

https://www.careers360.com/colleges/college-of-engineering-pune/admission

Hope this will helps you...!

GOOD LUCK...!