You havent mentioned your Category. Neverthless, in 2018, under State Quota, the cut offs for various Categories have been as follows:

General Category: 469
OBC: 429
SC: 372
ST: 169

Going by previous cut.offs and your score at 580, you have a chance at a seat in all the top GMCs of Uttar Pradesh like:

King George's Medical University
Sarojini Naidu Medical College
Motilalal Nehru Medical College
Lala Lajpat Rai Memorial Medical College amongs others.

Having said that, cut offs change every year and are dependant on various factors like no.of seats available, no.of candidates appearing for the exam, top NEET score and difficulty of the exam. You can also check the cut offs of various different colleges under your Category at:

https://medicine.careers360.com/articles/neet-cutoff-up/amp

National Eligibility cum Entrance Test

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