Reduce control point count from duplicate curve??

 From:  dooki
Hey all!

I have a helmet surface shape. I copied the lower edge and clicked on "Show points" so that I can edit it.
Q: How can I reduce the amount points? I'd like the sample amount of point as if I drew it from scratch. Say 5-6 points. If not reduce count, am I better off redrawing this curve?

Much thanks,
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