Code first entity framework - One to many relationship

In my project, I have an Admin who adds instructors, then each instructor adds his students.

Until now, I only created Instructor class :

 public class Instructor
    {
        public int InstructorID { get; set; }

        [DisplayName("Name")]
        [Required]
        public string InstructorName { get; set; }

        [EmailAddress]
        [DisplayName("Email")]
        public string Email { get; set; }

        [DisplayName("Password")]
        [DataType(DataType.Password)]
        public string Instructorpassword { get; set; }
    }

Student class:

public class Student
    {
        [Required]
        [DisplayName("Student ID")]
        public int StudentRegNum { get; set; }

        [Key]
        public int studentID { get; set; }

        [DisplayName("Student Name")]
        [Required(ErrorMessage = "Please enter student name")]
        public string studentName { get; set; }

        [DisplayName("Student Email")]
        [Required(ErrorMessage = "Please enter student email")]
        [EmailAddress]
        public string studentEmail { get; set; }


        public decimal grade { set; get; }

        [DataType(DataType.Password)]
        public string Studentpassword { get; set; }
    }

And finally, my db context:

public class CompilerCourseContext : DbContext
    {

        public DbSet<Instructor> Instructors { get; set; }

        public DbSet<Student> Students { get; set; }



    }

Should I add the following to Student class? 

public virtual Instructor instructor {get; set;}
public int InstructorID {get; set;}

And 

public List<Student> students {get; set;}

to the instructor class? 

Won't students be associated to the instructor who added them by default?