There are only two resonance structures of allyl anion with negative charge distributed over positions 1 and 3:
$$\ce{\overset{-}{C}H2-CH=CH2 <-> CH_2=CH-\overset{-}{C}H2}.$$
What's the criteria for electrons forming a double bond? Why isn't there a third resonance structure
$$\ce{\overset{+}{C}H2-\overset{-}{C}H-\overset{-}{C}H2}?$$