Unfortunately there are several hundred named double pink peonies, hard to identify them for sure. You'll want to get lots more details to help with clues--bloom week, foliage, sidebuds, etc. I have several that I've been trying to ID for years with no success, they're all still as pretty as a NOID, luckily!

I figured it was a Monsieur Jules Elie but I could be wrong

Agree,Monsieur Jules Elie

It looks right! I'd compare the other qualities listed for MJE in the APS peony database and put a tag on it if everything else fits. Here's that website just in case, it's a great reference. http://www.paeo.de/navigation/hilf_en_1oben.html

By the way, it looks very pretty with the purple behind it--is that catmint? And what's the peony blooming off in the left background? Looks like a much flatter bloom than the main flower in your pic, assume it's a different plant.

I have what I THINK is a Sarah Bernhardt and it looks just like yours, but I'm not sure about it. I KNOW, I'm not of much help!

The picture above i'm almost sure is a monsieur jules elie. The sarah Bernhardts i have look like this