How to achieve large gain in the transfer function with OP-AMPs?
The -3dB cutoff frequency of your transfer function is roughly at 200Hz and the TL084 has a gain-bandwidth product of 3MHz. So, a gain of -115 is achievable because 200*115=23000 which is hundred times less than 3MHz (the recommended margin to ensure a good working of the amplifier is ten times less).

The bandpass gain is given by the ratio of R2 and R1 (G=-R2/R1). The cut-off frequency is given by R2 and C (f=1/(2*pi*R2*C). So you can use R1 = 1k, R2=120k and C=6.8nF
This gives a gain of -120 and a cut-off frequency at 195Hz.

You can then adjust these values using other components if you want to get closer to the transfer function you want to achieve.