2019 New York Laws
ELN - Election
Article 2 - Party Organization
2-124 - Party Names and Emblems; Provision For.

§  2-124.  Party  names  and  emblems;  provision  for.  1.  The state
  committee of a party shall select a name and emblem to  distinguish  the
  candidates of the party for public office in all districts of the state,
  and  shall  file  in  the  office  of  the  state  board of elections, a
  certificate executed by its chairman and secretary,  setting  forth  the
  name and showing the emblem so selected.
2.  The name of a party shall be in the English language and shall not
  include the words "American", "United  States",  "National",  "New  York
  State",  "Empire  State",  or  any abbreviation thereof, nor the name or
  part of the name, or an abbreviation of the name, of an existing  party.
  The  emblem  chosen  may  be  a star, an animal, an anchor, or any other
  proper symbol, but may not be the same as  or  similar  to  any  emblem,
  insignia,  symbol  or  flag  used by any political or governmental body,
  agency or entity nor any religious emblem, insignia, symbol or flag, nor
  the portrait of any person, nor the representation of a coin or  of  the
  currency  of  the United States. The name and emblem chosen shall not be
  similar to or likely to create confusion with the name or emblem of  any
  other existing party or independent body.
3.  If  the name of any party shall contain more than fifteen letters,
  the state committee shall similarly select and  certify  an  abbreviated
  form  thereof, containing not more than fifteen letters, to be used upon
  the ballot whenever the necessities of space so require.
4. Emblems and names which have been continuously used by any party or
  independent body for the  nomination  of  candidates  for  governor  may
  continue to be used by such party or independent body.