I have a New Mexico pepper plant. It had 1 flower, and of course, produced 1 pepper.
New Mexico Pepper Plant
Certified GKH Gardening Expert
If it was from this year, it may just need some more time to get into full production. If it was from a previous year, your soil may be lacking in phosphorous. This would inhibit the plant's ability to form flowers (and fruit). I would have your soil tested. These articles will be helpful: