What type of battery is that, is it dual-cell one? If not, it's fake for sure, as you can't put a ~2000 mAh into regular-sized BL-5J form factor.

I'm afraid, that if it gained 12 mAh during calibration cycle, then your relative capacity is indeed 1311 mAh You would get a little more (but only "relative", not really make you battery better, of course) if you would let it discharge via normal speed - higher current make relative capacity little slower. But it would be i ranges of about 20-30 mAh max, for such battery size.

Thank you for providing logs, though - it's always appreciated. In this specific case, info about physical capabilities of battery (as I've written earlier - single/dual-cell) would be of more use

/Estel