Arcane Knowledge
Rank 1: +8% Magic Penetration

Riot confirms the three 30-point trees and their tier structure. The individual node effects below are transcribed by a community archive from client data, so they remain clearly separated from Riot-confirmed system rules. Icons are exact-name historical references from Riot Data Dragon 3.13, not a claim about unreleased or unverified client art.
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Rank 1: +8% Magic Penetration
Rank 1: Increases Ability Power by 1.25% Rank 2: Increases Ability Power by 2.5% Rank 3: Increases Ability Power by 3.75% Rank 4: Increases Ability Power by 5%
Rank 1: Reduces activated-item cooldowns by 7.5% Rank 2: Reduces activated-item cooldowns by 15%
Rank 1: Increases earned Experience by 1.25% Rank 2: Increases earned Experience by 2.5% Rank 3: Increases earned Experience by 3.75% Rank 4: Increases earned Experience by 5%
Rank 1: Starts the game with a biscuit that restores 80 Health and 50 Mana over 10 seconds
Rank 1: Deals 6 damage to an enemy monster that attacks you
Rank 1: +0.25 Ability Power per champion level Rank 2: +0.5 Ability Power per champion level Rank 3: +0.75 Ability Power per champion level Rank 4: +1 Ability Power per champion level
Rank 1: Reduces damage taken from champion basic attacks by 3
Rank 1: +1.5 Attack Damage Rank 2: +3 Attack Damage
Rank 1: Basic attacks deal 2 bonus damage to minions and monsters Rank 2: Basic attacks deal 4 bonus damage to minions and monsters
Rank 1: +0.166 Attack Damage per champion level Rank 2: +0.333 Attack Damage per champion level Rank 3: +0.498 Attack Damage per champion level Rank 4: +0.664 Attack Damage per champion level
Rank 1: Grants +1 Armor and Magic Resist for each nearby enemy champion
Rank 1: Increases damage dealt to turrets by 5%
Rank 1: +1.5 Health per champion level Rank 2: +3 Health per champion level Rank 3: +4.5 Health per champion level Rank 4: +6 Health per champion level
Rank 1: Increases damage dealt by 5% to targets below 50% Health
Rank 1: +4 Mana per champion level Rank 2: +7 Mana per champion level Rank 3: +10 Mana per champion level
Rank 1: On Summoner's Rift, starts with a 60-second ward; on other maps, grants 25 starting Gold
Rank 1: Landing a critical hit grants 10% Attack Speed for 2 seconds
Rank 1: +1% Attack Speed Rank 2: +2% Attack Speed Rank 3: +3% Attack Speed Rank 4: +4% Attack Speed
Rank 1: Reduces time spent dead by 10%
Rank 1: Grants +0.5 Gold every 10 seconds Rank 2: Grants +1 Gold every 10 seconds Rank 3: Grants +1.5 Gold every 10 seconds Rank 4: Grants +2 Gold every 10 seconds
Rank 1: +2 Armor Rank 2: +4 Armor Rank 3: +6 Armor
Rank 1: Increases damage dealt by 0.67% Rank 2: Increases damage dealt by 1.33% Rank 3: Increases damage dealt by 2%
Rank 1: Reduces damage taken from all sources by 3%
Rank 1: Reduces Recall cast time by 1 second and Enhanced Recall by 0.5 seconds
Rank 1: +2% Cooldown Reduction Rank 2: +4% Cooldown Reduction Rank 3: +6% Cooldown Reduction
Rank 1: Increases maximum Health by 1.5% Rank 2: Increases maximum Health by 2.75% Rank 3: Increases maximum Health by 4%
Rank 1: Increases bonus Armor and Magic Resist by 2% Rank 2: Increases bonus Armor and Magic Resist by 4% Rank 3: Increases bonus Armor and Magic Resist by 6%
Rank 1: +2.5% Critical Strike Damage for ranged champions; +5% for melee champions Rank 2: +5% Critical Strike Damage for ranged champions; +10% for melee champions
Rank 1: Reduces Summoner Spell cooldowns by 4% Rank 2: Reduces Summoner Spell cooldowns by 7% Rank 3: Reduces Summoner Spell cooldowns by 10%
Rank 1: +1 Mana Regen per 5 seconds Rank 2: +2 Mana Regen per 5 seconds Rank 3: +3 Mana Regen per 5 seconds
Rank 1: +2 Ability Power Rank 2: +4 Ability Power Rank 3: +6 Ability Power
Rank 1: +3% Movement Speed
Rank 1: Grants up to +2 Health Regen per 5 seconds based on missing Health Rank 2: Grants up to +4 Health Regen per 5 seconds based on missing Health Rank 3: Grants up to +6 Health Regen per 5 seconds based on missing Health
Rank 1: Basic attacks against enemy champions grant 5 Gold for melee champions or 3 Gold for ranged champions, with a 5-second cooldown
Rank 1: Reduces damage taken from critical strikes by 10%
Rank 1: Reduces the effectiveness of slows by 7.5% Rank 2: Reduces the effectiveness of slows by 15%
Rank 1: +2 Magic Resist Rank 2: +4 Magic Resist Rank 3: +6 Magic Resist
Rank 1: Increases shrine, relic, quest and neutral-monster buff duration by 20%
Rank 1: Reduces damage taken from turrets by 5%
Rank 1: Wards gain 25% vision range for the first 3 seconds after placement
Rank 1: +1% Cooldown Reduction Rank 2: +2% Cooldown Reduction Rank 3: +3% Cooldown Reduction Rank 4: +4% Cooldown Reduction
Rank 1: Basic attacks deal magic damage equal to 5% of Ability Power
Rank 1: Grants up to +1 Health Regen per 5 seconds for each 400 Mana Rank 2: Grants up to +2 Health Regen per 5 seconds for each 400 Mana Rank 3: Grants up to +3 Health Regen per 5 seconds for each 400 Mana
Rank 1: Improves Teleport, Revive, Flash, Clarity and Clairvoyance: Teleport casts 0.5 seconds faster; Revive grants bonus Health for 2 minutes; Flash cooldown is reduced by 15 seconds; Clarity restores 25% more Mana; Clairvoyance reveals additional enemy units.
Rank 1: Improves Cleanse, Heal, Smite and Barrier: Cleanse extends disable reduction by 1 second; Heal grants 5 Health per champion level; Smite grants 10 bonus gold; Barrier's shield increases by 20.
Rank 1: Improves Exhaust, Ignite, Ghost and Garrison: Exhaust reduces Armor and Magic Resist by 10; Ignite grants 5 Attack Damage and Ability Power while on cooldown; Ghost's Movement Speed bonus becomes 35%; allied Garrisoned turrets deal 50% splash damage.
Rank 1: +2 Armor Penetration Rank 2: +4 Armor Penetration Rank 3: +6 Armor Penetration
Rank 1: Reduces crowd-control duration by 5%, multiplicative with Tenacity Rank 2: Reduces crowd-control duration by 10%, multiplicative with Tenacity Rank 3: Reduces crowd-control duration by 15%, multiplicative with Tenacity
Rank 1: Reduces damage taken from monsters by 1 Rank 2: Reduces damage taken from monsters by 2
Rank 1: Reduces damage taken from enemy champions by 1 Rank 2: Reduces damage taken from enemy champions by 2
Rank 1: +1% Life Steal and Spell Vamp Rank 2: +2% Life Steal and Spell Vamp Rank 3: +3% Life Steal and Spell Vamp
Rank 1: +30 Health
Rank 1: Grants +0.66% Movement Speed while out of combat Rank 2: Grants +1.33% Movement Speed while out of combat Rank 3: Grants +2% Movement Speed while out of combat
Rank 1: Increases starting Gold by 25 Rank 2: Increases starting Gold by 50
Rank 1: +8% Armor Penetration
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