JPA Many to many association entity

I am developing Java EE project with embedded database using JPA ORM. My question is...

When I create @ManyToMany fields in two Entities, I have to create association entity too, or it will do container for me?

Course entity snippet

        Public class Course implements Serializable {
    ...
        @Id
        @GeneratedValue(strategy=GenerationType.IDENTITY)
        private long id;

            @ManyToMany
        @JoinTable(name="course_user", joinColumns={@JoinColumn(name="course_id", referencedColumnName="id")},
            inverseJoinColumns={@JoinColumn(name="user_id", referencedColumnName="id")})
        private List<User> enrolledStudents;
    ...

User Entity snippet

public class User implements Serializable {
    private static final long serialVersionUID = 1L;
...

    @Id
    @GeneratedValue(strategy=GenerationType.IDENTITY)
    private long id;

    @ManyToMany(mappedBy="enrolledStudents")
    private List<Course> enrolledCourses;
...

So is this everything I need or not? Thank you for answers!