Mayflower type
The Mayflower-type was a starship class in service to Starfleet in the mid-23rd century. This design had two nacelles connected to the underside of the primary hull by swept pylons. 

Three ships of this type, including , were docked to  prior to the destruction of Vulcan in 2258. The Mayflower participated in a battle with the Narada and was destroyed. ()

Ships commissioned 

Unnamed Mayflower-type starships

Background information 
John Eaves provided concept input on the designs of the Starfleet ship classes built for Star Trek, including the Mayflower-type. (Star Trek - The Art of the Film, pg. 58-59.)

The roll bar/saucer design bears a similarity to the the  of the prime universe.

In the Blu-ray special "Starships" a ship of this type is labeled as the . 
The Gizmotron models 1/2500 scale model kit names this ship type as the Federation frigate.

A ship of this class appeared to be docked at berth A0 in the wider rendering of the departure scene from  seen on the cover of Cinefex, Issue 134. 

ja:メイフラワー型
Federation starship classes (alternate reality)