- You rarely write - __init__for a- TestCase.  So strike that from your mental model of unit testing.
 
- You sometimes write a - setUpand- tearDown.  Django automates much of this, however, and you often merely provide a static- fixtures=variable that's used to populate the test database.
 
More fundamentally, what's a test case?
A test case is a "fixture" -- a configuration of a unit under test -- that you can then exercise.  Ideally each TestCase has a setUp method that creates one fixture.  Each method will perform a manipulation on that fixture and assert that the manipulation worked.
However.  There's nothing dogmatic about that.
In many cases -- particularly when exercising Django models -- where there just aren't that many interesting manipulations.
If you don't override save in a model, you don't really need to do CRUD testing.  You can (and should) trust the ORM.  [If you don't trust it, then get a new framework that you do trust.]
If you have a few properties in a models class, you might not want to create a distinct method to test each property.  You might want to simply test them sequentially in a single method of a single TestCase.
If, OTOH, you have really complex class with lots of state changes, you will need a distinct  TestCase to configure an object is one state, manipulate it into another state and assert that the changes all behaved correctly.
View Functions, since they aren't -- technically -- stateful, don't match the Unit Test philosophy perfectly.  When doing setUp to create a unit in a known state, you're using the client interface to step through some interactions to create a session in a known state.  Once the session has reached as desired state, then your various test methods will exercise that session, and assert that things worked.
Summary
Think of TestCase as a "Setup" or "Context" in which tests will be run.
Think of each method as "when_X_should_Y" statement.  Some folks suggest that kind of name ("test_when_x_should_y")  So the method will perform "X" and assert that "Y" was the response.