Correct answer: The cyclopentadienyl anion is aromatic
The cyclopentadienyl anion is a planar, cyclic, fully conjugated species with 6 pi electrons (4n+2 with n=1), satisfying Huckel's rule, so it is aromatic and exceptionally stable. The allyl anion is merely delocalized (resonance-stabilized) but not aromatic. The extra aromatic stabilization makes the cyclopentadienyl anion far more stable.