Final answer:
The Ionic order columns are characterized by scroll-like ornaments on the capitals and are supported by a base, differentiating them from the simpler capitals and lack of base in the Doric order.
Step-by-step explanation:
The style of column that has a more elaborate base and a capital decorated with scrolls is the Ionic order. This order originated in Ionia, a coastal region of central Anatolia, and is best known for the characteristic volutes or scroll-like ornaments on the capitals. Ionic columns are supported by a base, unlike the Doric order, which has no base and a simple capital. Comparatively, the Corinthian order is also known for an ornate capital featuring acanthus leaves, but the key identifier for the question's scrolls is the Ionic capital's volutes. The Doric order, being more austere, features a plain capital and no base, while the Tuscan order, similar but simpler than the Doric, includes a base.