Welcome to the A-BN, and, no, the arrow is not a coke trademark.
What is the embossing on your bottle? About all I can make out for sure is that it's from Schenectady.
A photo or 2 of the whole bottle, and the base may help to identify it. Don't forget to check the "Embed" button, if you want your photo to show up on the page...
Thanks for the help i just asked aboit the arrow because it came with other coke bottles so it made me wonder.The picture is just partial due to the fact when i tried to upload it kept saying image to large.