As the story progresses you will be able to buy a growing selection of weapons from the Blacksmiths. So it's most likely just a matter of time.....Though if there is something in the space in the Armory that looks like the sword only its solid black, that means you currently have it equipped.
The sword at the top of the curved rack is Altair's sword. Not sure when you get it, but you will be able to buy it from the villa blacksmith either when you fully renovate the town or when you find all the seals. Not sure which one it is though.
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