question on class number for a certain n

[American Citizen <website.reader3@gmail.com>]

Hi all:

I have been looking at representations of integers as the sum of 3 
squares and things are very interesting.

A quote from Wolfram Math states

> The number of solutions of
>
> (36)   x^2 + y^2 + z^2 = n
>
> for a given n without restriction on the signs or relative sizes of x, 
> y, and z is given by r_3(n). Gauss proved that if n is squarefree and 
> n>4, then
>
> (37)  r_3(n) =  24h(-n)  for n=3 (mod 8);
>              =  12h(-4n) for n=1,2,5,6 (mod 8);
>              =   0       for n=7 (mod 8)
>
> (Arno 1992), where h(x) is the class number of x.
>
> The generating function for r_3(n) is given by
>
> (38)  sum_(n=0)^(infty)r_3(n)x^n = theta_3^3(x)
> (39)   = 1+6x+12x^2+8x^3+6x^4+24x^5+24x^6+12x^8+30x^9+...
>
> Example:
>
>    n = 6844361
>
> Class number h(-4n) is what ???
There are a lot of triads for this number n. I will share what I found 
in a subsequent post. Can r_3(n) be found?

Randall