When would you use an edge list graph data structure instead of an adjacency list or adjacency matrix?

In what applications would you choose an edge list over an adjacency list or an adjacency matrix?

Sample Question, VisuAlgo: Which best graph DS(es) should you use to store a simple undirected graph with 200 vertices, 19900 edges, and the edges need to be sorted? Suppose your computer only has enough memory to store 40000 entries.

There are three choices: adjacency lists, adjacency matrix, and an edge list.

Edge lists are the correct answer here because sorting by weight is most efficient, but what are some other use cases?