Taxis take two.
Wikipedia says a suburban train takes 46 bikes. I should check, as the press release from the company doesn't give a figure.
I don't commute by train, so I don't know if that's still not enough. Many people do leave a second bicycle at the station.
https://en.wikipedia.org/wiki/Cycling_in_Copenhagen
https://www.dsb.dk/om-dsb/presse/nyheder/mere-plads-til-cykl...
Sure, but how many will fit on one train/taxi? Here in Vancouver we have two bike-slots per bus and ~4 per train (which is actually just general accessibility-device space, for e.g. powered-wheelchairs, and is almost always taken already.)