This does not seem to be a issue with Connections. It seems the memory allocated to PHP is set at 48MB (or round abouts). I believe this is the default value that WP setups up for the site’s frontend.
I highly suggest setting this to at least 64MB. Setting it 128MB will give your site plenty of “breathing room”.
Here’s a link to an excellent blog post that covers how to change this settings. There are several methods outlined. The method that will work for your depends on the webhost. I suggest starting at the top and working your way down the list.
Hope that helps. Let me know!