Can a slipped lumbar disk cause sharp calf, arch cramps, occasional line of pain down back of leg, occasional numbness in calf with mild cramping?

Lumbar Radiculopathy: Is the term for the dermatomal pattern of the pain you've described and is your age most commonly caused by a protruded (slipped disc) pinching the nerve at its root before entering your legs. See your doctor for more tips and treatment.

Yes: The symptoms that you describe are consistent with a lumbar disc herniation. You should consider seeking medical evaluation.