Python - Create a reducing array

I have a database with the following array:

array = np.array([[1,4,1,1,0,0],[4,5,6,3,0,0],[1,4,5,6,0,0]])

I'm working with the datas in column, for example:

array[:,2]

out: array([1, 6, 5])

I would like to create a new array without the columns of 0

To do that, I created an array of zeros:

array_zero = np.zeros((3,6))

Then, I compare each index with this array:

index = 0
while (array[:,index] != array_zero[:,0]):
    index = index + 1

When I have the index of the first column of 0, I know that the following columns will be columns of 0.

So, I would want to create my new array like this:

array_new = np.array(3,index + 1)

for i in range(index+ 1):
    array_new[:,i] = array[:,i]

In the while loop, I have the following error:

ValueError: The truth value of an array with more than one element is ambiguous. Use a.any() or a.all()

I tried the following:

while ((array[:,index] != array_zero[:,0]).all):
    index = index + 1

or

while ((array[:,index] != array_zero[:,0]).any):
    index = index + 1

And I have the following error:

IndexError: index 6 is out of bounds for axis 1 with size 6

Here is the code:

import numpy as np

index = 0

array = np.array([[1,4,1,1,0,0],[4,5,6,3,0,0],[1,4,5,6,0,0]])

array_zero = np.zeros((3,6))


while (array[:,index] != array_zero[:,0]):
    index = index + 1

array_new = np.array(3,index + 1)

for i in range(index+ 1):
    array_new[:,i] = array[:,i]

Thank you for your help