An integrated memory includes memory cells arranged in a memory cell array along word lines and bit lines. One of the bit lines can be connected to a data line by a respective one of a plurality of switches. The memory contains column select lines. One of the column select lines in each case connected to a plurality of the switches for driving, in an activated state, in order to connect a number of bit lines to a same number of data lines. An access controller is connected to the column select lines and can be operated in a test operating mode such that a plurality of the column select lines are activated in the event of a memory cell access. The writing of test data to the memory cell array in a test operating mode can thus be optimized in accordance with the invention.