Check if a class has an explicit static constructor?

In the ECMA standard under $14.5.6.2 it states that having a static constructor affects the static field initialization order. I want a way to enforce this, but cannot find a way to check for an explicit static constructor in a type. It seems like the C# runtime automatically generates one if there isn't one already (and if the class has some static fields). Is it possible to check if a class has an explicit static constructor using reflection?

For example - the following will return a constructor in both these cases, and I cannot see any difference between them:

static class NoStaticConstructor
{
    public static string Field = "x";
}

static class HasStaticConstructor
{
    static HasStaticConstructor() {}
}

public void Test()
{
    typeof(NoStaticConstructor)
        .GetConstructors(BindingFlags.Static | BindingFlags.NonPublic)
        .ShouldBeEmpty(); // FAILS

    typeof(HasStaticConstructor)
        .GetConstructors(BindingFlags.Static | BindingFlags.NonPublic)
        .ShouldNotBeEmpty(); // SUCCEEDS
}