This just to finalize this topic.
Because P=9xu+7, if a cubic root exists it can be computed by r1=a^((P+2)/9).
The other two solutions are:
r2=0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffffbfffff0c . r1
r3=0x1c71c71c71c71c71c71c71c71c71c71c71c71c71c71c71c71c71c71c555554e9 . r1
Then it is easy to see that -7 has no cubic root because ((-7)^((P+2)/9))^3 <> -7
Then there is no points with y=0
my 2 cents
Thanks to you all