Dear Anshuman, with a rank of 1271, yiu can expect a seat in any one among:

GMC, Vidisha

GMC, Ratlam

GMC, Datia

Government Allopathic Medical College

UP Rural Institute of Medical Sciences

Dr. Ram Manohar Lohiya

Hello, 

It is difficult to provide any information as you have not mentioned category you belong to neither your neet score or neet rank .

Anyways, you can check the college you can get  from the link mentioned below-

http://www.medicine.careers360.com/articles/neet-cutoff-up
This is just a prediction based on previous year records. The result may vary this year. 

Hope this helps, 

Regards!