Gum swelling?

Hi, I had pain in one of my front tooth, a few weeks back its a crowned tooth, the pain then went, then I felt a swelling very high up above the tooth so went dentist and she thinks a infection got given anti biotics took these and finished these, the pain is not bad only when press on it its tender, do you think it's a absess I now have a bad taste in my month, the pain is not bad only when I press it feels tender.

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