This is a machine rolled fuller.
Actually, the word fuller was originally the name of the tool used to hammer in the hollow. Anyway, a steel roller under huge pressure bore down on hot stock wedged into a mold cut into the anvil top producing the two upper hollows (same way as they made estocs, then later on Brown Bess triangular bayonets.
Sorry, I am editing here as it is confusing, the upper pair of hollows (with a medial ridge) are on the bottom of the hot stock. They are known as the top of the blade, even though they are below in the en guard position... I think.
It was how they could produce a hollowed smallsword blade in a single pass, as a reducing radius hollow was impossible.
As far as I am aware - hence my question regarding colichemardes - all colichemardes have the groove, a product of the machine which was chased out of Solingen due to the guild's Luddite viewpoint.
The Mohll family owned it and brought it to Shotley Bridge to produce hollow blades at a reasonable price as there were tariffs and heavy taxes on German imports.
The conclusion I recently reached was that the French would not be buying from Shotley Bridge, hence my search for French hilted colichemardes. Even George Washington's colichemardes had to come from England.
All of the dealers and collectors I have consulted agree that there are none but it is not totally impossible.
Does your sword have a groove? Also, why do you think the hilt is French?