Yeah, it depends on the amount of culture. Usually you'll have a lot more culture when you recapture the city, or you won't be able to recapture it at all (recapturing typically happens shortly after losing the city, if at all). I don't know the specifics on this one so I had to give a vague answer. 
Civilization IV: 21 (Bismarck of Mali), 29 (Mao Zedong of Babylon), 38 (Isabella of China), 45 (Victoria of Sumeria), PB12 (Darius of Sumeria), 56 (Hammurabi of Sumeria), PB16 (Bismarck of Mali), 78 (Augustus of Byzantium), PB56 (Willem of China)
Hearthstone: ArenaDrafts Profile No longer playing Hearthstone.
Hearthstone: ArenaDrafts Profile No longer playing Hearthstone.