2 clarify title

1

# Elliptic Curves over Fun?

Is there an notion of elliptic curve over the field with one element? As I learned from a previous question, there are several different versions of what the field with one element and what schemes over it should be (see for example this article by Javier López Peña and Oliver Lorscheid). What I want to know is whether there a good notion of elliptic curve over $F_{un}$? What about modular forms?