Removing the line surrounding a chart

I am trying to create charts through VBA, and want the (default) line around it removed. If you know the shape name, that would be something like

ActiveSheet.Shapes("Chart 304").Line.Visible = msoFalse

I believe that line is not in the chart, but in the parent shape of it. So I tried to add it to the shape-related actions I am doing as well

With ActiveChart.Parent
         .Height = 325 ' resize
         .Width = 500 ' resize
         .Top = 100 + 335 * (j - 25) ' reposition
         .Left = 4000   ' reposition
         .Line.Visible = msoFalse 'this is the line that it is all about, and that gives the error
   End With

, but that gives an error. Any thoughts on what I am doing wrong?