ubuntu - Laptop dies when AC unplugged

I changed my battery, it worked for a day, then stopped doing so overnight.
Ubuntu says the laptop is fully charged, but when I unplug it from the wall it dies. My old battery works fine. What should I try?

• My laptop: Lenovo T410




• Battery led status indicator: blinking orange, not sure if "fast" or "quick". Meaning:

  
  

  
  

  Fast blinking orange: The battery has less than 5% charge. Note: The
  battery may be charging. Quick blinking orange: An error has been
  occurred in the battery.

  
  




• Some info Ubuntu gives me. I noted with "old" when the old battery is inside.

  
  

  ~$ upower -i /org/freedesktop/UPower/devices/battery_BAT0
  native-path:         BAT0
  vendor:              SANYO (old: LGC)
  model:               42T4791 (old: 42T4911)
  power supply:        yes
  has history:         yes
  has statistics:      yes
  battery present:     yes
  rechargeable:        yes
  state:               fully-charged
  warning-level:       none
  energy:              84.0996 Wh (old: 13.5324 Wh)
  energy-empty:        0 Wh
  energy-full:         84.0996 Wh (old: 14.202 Wh)
  energy-full-design:  84.24 Wh (old: 47.52 Wh)
  energy-rate:         0 W
  voltage:             12.492 V (old: 12.055 V)
  percentage:          100%
  capacity:            99.8333% (old: 29.8864%)
  technology:          lithium-ion
  icon-name:          'battery-full-charged-symbolic'