I came across the concept of the Weber class polynomial, and it is referenced back to Cox's book, "Primes of the form $x^2+ny^2$". But as far as I searched there I didn't find anything there, except Weber functions. I think this concept should be something similar to Hilbert Class polynomial, but a little bit different.
Where can I find the precise definition? Could you please introduce a reference (not a research article), in which this concept is defined and explained?
Google helps: The Weber class polynomials are the "minimal polynomials of the Weber functions" (Cox, 2nd edition, p. 304).