I have tried Googling this, and the only answer I got was a gem cut called Marquise, which I believe is the shape I am looking for, but its usage seems limited to gems.
It might also be called a cat’s eye shape, but that is somewhat casual and imprecise.
The word lens comes from the lentil-like cross section. Like Anne Elk’s dinosaurs they are thin at one end, much thicker in the middle and thin at the other end.
Thank you for lenticular, a word I had not come across before (that I remember). That word does seem to be fairly specialized to refer to lenses and lentils, so I’m going to keep hoping that there is a more universal term.
Vesica piscis, which isn’t English but would be recognized as Latin in Christianity, other religions, and sacred geometry. It’s derived from a single circle and when iterated 6 times, forms the Seed of Life in sacred geometry. It’s everywhere in churches once you start looking.
In recent years, I’ve seen the word “lenticular” used to describe a certain type of high-altitude clouds that have, more than once, prompted calls to authorities to report UFO sightings, in areas that don’t usually see them.
I always called the shape described in the OP as a “pointy-ended oval.”
The ichthys arcs are flattened toward the fish’s tail, rather than being true circle arcs with constant curvature.
But yeah, I think vesica piscis (literally “fish bladder”) for the symmetrical shape formed by intersecting circle arcs is the closest thing to a standard term for this shape.
Given that the construction of the vesica piscis seems to assume that the two intersecting circles pass through each other’s centers, and the OP might have been seeking something a bit more general, I propose that we use the term “fish figure” (from the matsya or fish shape in Sanskrit geometry) to mean the symmetrical pointed oval formed by any two intersecting congruent circle arcs.