The Qur’an is the book of Allah that must be given a sublime respect and must be read with contemplation. A Muslim is highly recommended to give the Qur’an its right reverence by not exposing it to any kind of impurity, etc. Upon entering the toilet, we mustn’t carry the Qur’an or any part of it or wearing something that has the name of Allah engraved on it.
Thus, going to the toilet while carrying something that has Allah’s name on it (such as rings, bracelets, necklaces etc) is not recommended just because the name of Allah that must be revered. It is reported that the Prophet (peace and blessings be upon him) used to remove his ring whenever he went to the toilet as the ring had the name of Allah.
As for carrying the Qur’an itself, part of it, booklet of dhikr, scholars have differed on this issue. Hanafi and Shafi’i Schools of thought consider it disapproved while Hanbali and Maliki schools of thought said it is forbidden. This is the case if the Qur’an or part of it was not covered or not in a bag and there is a fear that it could be defiled or could be exposed to such kind of impurity. Carrying it in a bag that would keep it safe against impurity is fine if you are away form home or you are afraid that it might be lost. In all cases we are recommended not to carry the Qur’an when we enter the toilet unless it was necessary.