But remember that Lododonta africana, African bush or savanna elephants are trainable. Asian elephants are considered endangered and internatinal trade in them is forbidden. Thus only African elephants, mostly Loxodonta africana, are legally exportable and so more and more zoo and circus elephants are Lododonta africana,Another point on the Carthaginian elephants is that they didn't use Indian Elephants. They used African elephants (probably with African mahouts too).
The confusion arises from Hannibal's personal elephant, which was called "Surus", his biggest elephant, which has been interpreted as the elephant being "Syrian". Whether it was a native Syrian elephant or an Indian elephant imported via the Seleucids is not clear, but it seems to refer to a single elephant, not the entire elephant corps.
Carthaginians depicted their elephants on some of their coins, and they very clearly depict African elephants. They're also clearly smaller than African bush elephants, which lends credence to the idea that they used a separate subspecies of elephant, now extinct in North Africa, but which is similar in size to the African forest elephant, which is quite trainable.
"A Carthaginian shekel, dated 237–227 BC, depicting the Punic god Melqart (equivalent of Hercules/Heracles), most likely with the features of Hamilcar Barca, father of Hannibal Barca; on the reverse is a man riding a war elephant" Carthago Nova, Spain:
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Forest elephants from North Eastern Democratic Republic of Congo, not far from the border with South Sudan, trained for ranger duties:
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