I have a vase at home that I found challenging for the newby I am in blender. I understand the title of my question is probably not very clear so I found best to share a picture of the vase. The part of the vase I haven't found any solution to draw is the thin vertical line. I tried using bevel but this makes something too regular between the "hole" and the plane surface. In addition, the thickness of the vase has to decrease around the top as the diameter decrease. For this, the best I found is to draw the line with the cylinder completely straight and then to scale the top of the vase by applying first a series of edge loops.
Any idea or suggestion would be most appreciated.