The plant, but the seeds are called Coriander.
To store your fresh herb, place the stems (with roots intact if attached)
in a glass of water and cover the top loosely with a plastic
bag. Refrigerate. Snip off leaves as you need them and re-cover.
The water should be changed every 2 to 3 days. Do not wash the
herb until you are ready to use it since excess moisture will turn
the leaves to green slime during storage. It should last up to a
week in the refrigerator. It can also be frozen as with the Basil
above. Mostly known for it’s zip in Mexican foods, Cilantro adds
flavor to melted butter that is terrific served over grilled fish and
chicken.