Judging from the reviews, this is a popular and very comfortable bra from Soma. Here is their description from the Soma website:
The Revolutionary Side Slimming Bra. Smooths your sides for a slender, more sensuous you. This supportive Full Coverage minimizer reduces bust up to one inch. Its satiny smooth cups offer a seamless silhouette.
-Side smoothing technology and all over smooth cups and wings.
-Seamless satiny smooth Unlined double-ply cups.
-Built up, adjustable straps.
-Wings are padded with soft foam for comfortable support.
-Supportive Ballet Back keeps straps in place and provides additional comfort.
-Hook-and-eye back closure has brushed softness on the inside.
Since my camera doesn’t do well with black, I have included a picture of a beige bra from the Soma website, and here is a short video showing it.