Elixir of Immortality — ruling 1

As the ability resolves, you’ll shuffle Elixir of Immortality into its owner’s library directly from the battlefield, if it’s still there.

Elixir of Immortality — ruling 2

If Elixir of Immortality is in your graveyard at the time the ability resolves, you’ll still wind up shuffling it into your library because you shuffle your entire graveyard into your library. If it’s anywhere else by that time, including in another player’s graveyard, it remains where it is and you shuffle just your graveyard into your library.

Elixir of Immortality — ruling 3

If you gain control of another player’s Elixir of Immortality and activate it, the Elixir of Immortality will be shuffled into its owner’s library and the cards in your graveyard will be shuffled into your library. You are considered to have shuffled each affected library (even if, as a shortcut, each player physically shuffles their own library).

Elixir of Immortality — ruling 4

Paying the activation cost of Elixir of Immortality’s ability doesn’t cause it to leave the battlefield. If you have a way to untap it, you can activate the ability multiple times in response to itself.

Elixir of Immortality : règles, fonctionnement et interactions (MTG)

Elixir of Immortality is one of those cards players keep asking about. Here is, in plain words, what its official text says, the rulings published by Wizards of the Coast, and the combos players actually run.

Official card text

, : You gain 5 life. Shuffle this artifact and your graveyard into their owner's library.

How it works : Elixir of Immortality

Original English text — Wizards of the Coast / Scryfall

#1September 22, 2011· Wizards of the Coast
As the ability resolves, you’ll shuffle Elixir of Immortality into its owner’s library directly from the battlefield, if it’s still there.
No other card is named in this ruling.
#2September 22, 2011· Wizards of the Coast
If Elixir of Immortality is in your graveyard at the time the ability resolves, you’ll still wind up shuffling it into your library because you shuffle your entire graveyard into your library. If it’s anywhere else by that time, including in another player’s graveyard, it remains where it is and you shuffle just your graveyard into your library.
No other card is named in this ruling.
#3September 22, 2011· Wizards of the Coast
If you gain control of another player’s Elixir of Immortality and activate it, the Elixir of Immortality will be shuffled into its owner’s library and the cards in your graveyard will be shuffled into your library. You are considered to have shuffled each affected library (even if, as a shortcut, each player physically shuffles their own library).
No other card is named in this ruling.
#4August 15, 2010· Wizards of the Coast
Paying the activation cost of Elixir of Immortality’s ability doesn’t cause it to leave the battlefield. If you have a way to untap it, you can activate the ability multiple times in response to itself.
No other card is named in this ruling.