So you are looking into your mouth and you notice a black line at the base of your dental crown by the gum line. What is it? Basically it could be one of two things: 1) it could be a cavity forming or 2) your gums are receding and the margin of your dental crown which is made of metal is showing.
There are a few types of dental crowns. Two types are shown in the picture. The one on the left is an all ceramic crown. The one on the left is a porcelain fused to metal ( PFM crown). A PFM crown has a metal substructure and then porcelain baked over it so it looks like a tooth.
The only solution if you don't like the black line showing is to have a new crown fabricated, preferably an all ceramic crown that does not have a metal substructure. There is also another type of PFM crown that is called a Captek crown in which the metal substructure is gold. So instead of a black line you will see a yellow line which blends in much better. Captek crowns tend to be more expensive because gold is expensive.