N.M. Stat. § 30-16-31
Forgery of a credit card.
A person who, with intent to defraud a purported issuer, or a person or organization
providing money, goods, services or anything else of value, or any other person, makes
or embosses a purported credit card, or alters such a credit card, without the consent of
the issuer, is guilty of a fourth degree felony. A person "makes" a credit card when he
makes or draws, in whole or in part, a device or instrument which purports to be the
credit card of a named issuer but which is not such a credit card because the issuer did
not authorize the making or drawing, or when he alters a credit card which was validly
issued. A person "embosses" a credit card when, without the authorization of the named
issuer, he completes a credit card by adding any other matter, other than the signature
of the cardholder, which an issuer requires to appear on the credit card before it can be
used by a cardholder.