Extended Black is the name of one gene.
"Black" is the name of a color-- either when it is on part of a chicken (like a black tail) or all over (when we just call the chicken "black.")
Have you played with the chicken calculator?
https://kippenjungle.nl/chickencalculator.html
Under the picture of the chicken, there are a bunch of dropdown boxes with genes.
The first of those dropdown boxes has a default setting of "e+/e+ duckwing/light brown"
The label to the left of that box says "E Extension of Black"
That box is for genes at one particular locus (place on a chromosome.)
That locus is called the "e locus"
All the genes in that box control how the color black is distributed on the chicken (with the non-black areas being gold, red, cream, silver/white, or various other colors.)
If you change the genes in that box, the colors on the chicken change. Some of the roosters look alike, but the hens have more differences.
For rooster or hen, changing it to E/E, or E with anything else, will make the little chicken picture turn black. The E gene "extends" the black to cover much more of the chicken than what any others of those genes will do.
But extending the black will not always give a completely black chicken. Sometimes the black still does not cover the whole chicken (like in the case of your rooster). There are other genes that can extend the black further, or restrict it so it misses some areas.
[I see other posts were made as I was typing this, but I'll just post it anyway-- it is a partial duplicate, but may help make some bits a little clearer.]