Change default database name in EF 4.3 Code First

While using Code first in EF 4.3 the default generated db name will look like your namespace something.datacontext.

To change this behavior and use a custom name:

public class StockWatchDataContext:DbContext
    {
        public StockWatchDataContext(): base("StockWatch") //add your db name and override the base constructor
        { }

        public DbSet Security { get; set; }

        protected override void OnModelCreating(DbModelBuilder modelBuilder)
        {
            modelBuilder.Conventions.Remove();
        }
    }

Also make sure that you are not using localdb as the db server instance or you wont see that in SQL management studio.