It does in fact have death poison. If you look at the description of the weapon, as equipped, it shows up there. If you look at the item description in inventory, it's a little more vague (but still implies pretty clearly that poison is involved). The equipped description is:
Damage 2
Attack 0
Defence 0
Length 1
This weapon is considered magic
Death Poison
Pretty good I think, as a freebie bonus attack
Also, not too expenseive to make at 5n 5s