The present disclosure relates to the seeds, plants and plant parts thereof of alfalfa variety CW A113005, and to methods for producing progeny of alfalfa variety CW A113005 by crossing alfalfa variety CW A113005 with another alfalfa plant. The disclosure also relates to methods for producing an alfalfa plant derivative of alfalfa variety CW A113005, containing in its genetic material one or more transgenes introduced into alfalfa variety CW A113005, and to the transgenic alfalfa plants and plant parts produced by those methods. The disclosure also relates to alfalfa varieties or breeding varieties, and plant parts derived from alfalfa variety CW A113005.
