Divisible by 12: a^3 + b^3 = c^2

[Ralf Stephan]

There is no c/12 == 3 mod 5 in the list.
Added c/12 mod 7 column without further comment.
Also the * are c/12 == 17 mod 19.

>       a       b          c       c/12  (c/12) % 7
> 
>      11      37        228         19           5
>    2137    8663     812340      67695           5  *
>    8929   28703    4935504     411292           0
>    1801   56999   13608420    1134035           0
>   44111   48817   14218512    1184876           0  *
>    6637   86291   25354032    2112836           5  *
>   57241   87959   29463060    2455255           5
>   16931  133597   48880608    4073384           0
>  151477  246011  135516108   11293009           0  *
>   54083  334717  194057640   16171470           0
>    3889  367823  223078944   18589912           5
>  127717  552011  412662012   34388501           0
>  457511  786697  763311948   63609329           0
>  571019  735781  764539380   63711615           2  *
>  765983 1154017 1409359200  117446600           5
>   38557 1586531 1998370272  166530856           2  *

ralf