Breaking/Abandoning a Covenant
It is possible to leave or abandon a covenant by joining another covenant. However, abandoning a covenant in this manner will count as a sin, which will make the player the target of Dark Moon invasions unless they absolve their sins via Oswald of Carim, for a fee equal to their level times 500. If the player wants to abandon their covenant without this occurring, they must do so by speaking to Oswald.
Furthermore, some covenants have rules or restrictions that, if disobeyed, will "break" the covenant. If this happens, the covenant is immediately abandoned, and the player must absolve their sins through Oswald or else risk the wrath of the Dark Moon covenant.
Regardless of how the player leaves their covenant, half of the offerings given to that covenant are lost and their rank is adjusted accordingly. For example, if the player had given 40 offerings and were at rank +2 before they abandoned their covenant, if they return later their rank will be +1 and they will need to offer 10 more to get back to rank +2. Covenant offerings and rank cannot go below zero in this way.
Dark Souls Remastered: You may abandon a covenant through the bonfire menu. This does not add Sin.