My first thought was to use a Loft to make the vase.

However, I think a Rail Revolve will give you the greatest control over the design, especially how the fillet is formed on the top edge.





Start by making the "Rail" for the Rail Revolve:

Create two circles. Circular Array the small circle around the large circle. Select all circles and Boolean Union. Select the result and Fillet.

If you want the interior flutes to be reduced, just offset your small circle toward the inside of the larger circle before performing the circular array.





In Right View, draw a closed Profile Curve (shown in blue). Notice how the rounded top edge flares out just a little.

Want thicker walls or a thicker bottom? Just select the points on your the profile curve and edit as needed.





Profile curve upper edge detail:




Rail Revolve the blue "profile" around the magenta "rail". (Don't select "Cap Ends). The result is a solid vase. Output as a STL file and you're ready to print!




You can even select the result and give it a Twist:




Be sure to come back and post what you made :)

Ed Ferguson