Yes, you have yourself a smokey black :bgrin
EE = Only the black factor detected. The horse tested homozygous for black pigment. It cannot have red foals regardless of the color of the mate. The basic color of the horse will be black, bay or brown unless modified by other color modifying genes.
nCr = Dilute. Horse tested Heterozygous for Cream Dilution (One copy of the Cream allele). Chestnut is diluted to palomino; bay is diluted to buckskin and black is diluted to smoky black. These colors can be further modified by the actions of other genes.
aa = Only recessive allele detected. Black pigment distributed uniformly. The basic color of the horse will be black in the absence of other color modifying genes.