So what I calculated:
L(0,3) = (0,3)
L(4,0) = (4,8)
L(4,3) = (4,11)
L(2,5) = (2,9)
L= ((a,c)|(b,d))
For the first point:
((a,c)|(b,d))(0,3) = (3b,3d)
3b= 0 -> b=0
3d = 3 -> d=1
Second point:
((a,c)|(b,d))(4,0) = (4a,4c)
4a = 4 -> a=1
4c = 8 -> c=2
So L = ((1,2)|(0,1))