We just identified a particular line object by its label. It is an element of the list ax.lines with the index il. All of its properties are collected in a dictionary:
dict_keys(['marker', 'markeredgewidth', 'data', 'clip_box', 'solid_capstyle', 'clip_on', 'rasterized', 'dash_capstyle', 'path', 'ydata', 'markeredgecolor', 'xdata', 'label', 'alpha', 'linestyle', 'antialiased', 'snap', 'transform', 'url', 'transformed_clip_path_and_affine', 'clip_path', 'path_effects', 'animated', 'contains', 'fillstyle', 'sketch_params', 'xydata', 'drawstyle', 'markersize', 'linewidth', 'figure', 'markerfacecolor', 'pickradius...