What is a good way to get rid of burnt glass using house hold materials? [see details inside]?

I have a candle and its in a glass vase type a thing right? Well one night the flame got really big and made the glass all black and I washed it and scrubbed it but it won’t come off. What are somethings I can use to get rid of it without harming the glass?

PS: The candle is still inside it so i can’t summerge the whole thing and its only on the top.