You can find out how much power your washer uses by checking out Find Energy Use by Appliance. So here are some tips:

• Choose a cycle with cold rinse, rather than warm or hot rinse.  It is not the “washing” part that takes a lot of water, it is the “rinsing” part.  So washing in hot or warm water won’t consume nearly as much energy as rinsing in hot or warm water.
• Choose a cycle with automatic temperature sensor.  This way the washer will use appropriate amount of cold water to accommodate for the required temperature setting, potentially saving energy on hot water use.
• Try to maximize clothes load every time you use a laundry machine.