find function

Hi

I have some data...

m

10

12

44

22

21

45

56

65

26

35

n

3

7

5

15

10

28

11

14

7

26

z

5088

59712

151488

324000

329088

1213440

1667712

3845760

7352688

8174208

I believe that z is a function of m and n.
I want to find this function, i.e. $\displaystyle am^2+bmn+cn^2=z$
It may be cubic, quartic or a higher degree, but I have no idea how to go about finding it

Can anyone give me any pointers?

Thanks