In that case, go to the guardtowers in Balmora. In one of em you can find the sword of white woe lying on top of a dressser. It's guarded though, so you have to steal it when the guard is looking the other way. At level 11 that shouldn't be a problem though, i usually steal it at level 3 or something. It's not a supersword or anything, but it definitely helps you out good until you're ready for a "real" sword.
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