The third notebook to enter the story, carried by the shinigami Rem. She spends her own life using it to protect Misa Amane, and when she dissolves to dust the book passes to Light Yagami, who later turns it into a weapon the task force wields against the mafia.
Counted as the third Death Note to feature in the series, this notebook stays with the shinigami Rem for as long as she lives. Her devotion to Misa Amane ultimately decides its fate, and her sacrifice hands the book over to human keeping.
The cover is a flat black with no writing on it, matching the look of the others of its kind. Rem puts the notebook to its most consequential use when she kills both Watari and L to keep Misa safe, an act that costs the shinigami her life and reduces her to dust. With Rem gone, the abandoned book becomes property of the living world, and Light gathers it up from the remains she leaves behind.
Ownership runs first through Rem, then Light, who much later passes it to Ryuk to bind the shinigami to it before lending it to the task force for the fight against the mafia. Soichiro Yagami takes it up and bargains with Ryuk to gain the Shinigami Eyes. Aizawa eventually carries it to the Yellowbox Warehouse, where Near commits the book to the flames and wipes it from the human world. The live-action The Last Name diverges, having Rem destroy the book outright so Light can never wield it before she dies shielding Misa.

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Yes. Rem's Death Note is counted as the third notebook to feature in the series, and the shinigami Rem carries it for as long as she lives. Its cover is a flat black with no writing on it, matching the look of the others of its kind.
Rem puts her Death Note to its most consequential use when she kills both Watari and L to keep Misa Amane safe. That act costs the shinigami her life, reducing her to dust and leaving the notebook behind for Light Yagami to collect.
After Rem dissolves to dust, Light Yagami gathers her Death Note from the remains. It passes through the task force and Soichiro Yagami before Aizawa carries it to the Yellowbox Warehouse, where Near commits the book to the flames and wipes it from the human world.
Once Rem was gone, ownership ran to Light Yagami, who much later passed the book to Ryuk to bind the shinigami to it before lending it to the task force for the fight against the mafia. Soichiro Yagami then took it up and bargained with Ryuk to gain the Shinigami Eyes.
The live-action The Last Name diverges from the manga: Rem destroys the book outright so that Light can never wield it, then dies shielding Misa Amane.
Looking for more on Rem's Death Note? The Death Note Wiki on Fandom has a dedicated page with community notes.
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