There are many variables in that question. In heat transfer, the material used to make the container has the largest affect. The resistance of the material determines the rate. It is stated as btu/hr/degree F/area or square foot.
The larger the surface area, the faster it will transfer - assuming the temperature difference and material is constant. If the area at the top of the bottle has air in it, the air will act as an insulator.
If your container is sized so that there is no or minimal air in it, it will transmit the heat fastest. A sphere has the least surface area for a given volume, so a long tube would allow it to freeze faster. The configuration of the container is the controlling factor.