Ok, so I bing-ed "singer made in brasil photos" and I found three other models that appear to use the same oddly shaped mold for the plastic body of your machine: 5417C, 5160C, & 2950C.
The C stands for Campinas, Brasil. I forgot to check where you are, but when I ran all three model numbers thru sewingpartsonline.com, they all three utilize the same electronic foot, #979314-031. $29.99 US. The website even shows a good photo of the connection so you can compare it to your machine. It's not terribly cost effective to stock or manufacture a wide variety of foot controls.
Hope this helps.