what swords would be prominent in Medea's past?
Swords aren't a super-big deal in Greek mythology. Phalanx Warfare favored reach. But there are a few wikipedia points out:
Perseus is known to wield a
Harpe, a sword we now know to be more like a khopesh instead of a sword with a curve sticking out. While every hero from Cronus to Hermes to Hercules and even Zeus has used the weapon before, its role is very specific: Monster-slaying. Whether Titans, Gorgons, or even the Father of Monsters Typhon, all who fight beasts have carried this blade. Medea would also be very familiar with Perseus: When she and her son Medus fled Colchis in the wake of her uncle's violent coup of Colchis, they land in the Iranian plateau and her son rules the native peoples, who take the name Medes in Medea's honor. Until Perseus arrives near the end of his long life, kicks the place over, and makes Persia while leaving something of a rump Mede state. Or something like that, the myths are really divergent.
The Titan Themis, Zeus' second wife, was a Goddess of Justice and Oracles. A proud, yet maternal figure, she is distinct from her mother Gaia by wielding a Sword of Justice which as come to define the image of we have of a blind woman in a toga holding scales and a sword. She is the one who founded the Oracle of Delphi.
Peleus, father of Achilles, was a man Medea would have met, an Argonaut and a key figure in the hunt for the Golden Fleece. His sword is little remarked on, but such was its power and his mastery of it that he was said to be unbeatable so long as he held it. One day his fellow Argonaut Acastus, king of Iolcus after Medea got his sisters to dismember their dad, attempted to murder him after his wife made up a story of Peleus raping her. He didn't, probably, Peleus just didn't want to sleep with a married woman. But Acastus took the sword while the man slept and hid it. Depending on the teller, Chiron the centaur or Hermes himself returned the blade to Peleus, and he gathered an army along with Jason to raze IoIcus and dismember the king and queen.
The Argonaughts are a swell bunch of people./sarcasm