You can buy a battery with identical specs however it still needs to be registered in to the vehicle's electrical system. Unlike other cars the later model BMW's have a power management system which records battery state of charge, temp, trips, stationary periods, etc. After replacing a battery all of this info needs to be reset in the power management system and the battery replacement registered. If this does not happen then the system is working off of inaccurate data which can cause problems one of them being possible premature failure of the new battery. As far as exactly what exact aftermarket battery could you use I can not help you there.
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