The configurations of the nuclear shell model were employed to study and inspect the form factor of a scattering electron in the ⁵⁸Ni nucleus. The wave function of the model space was obtained through the (fp-orbits) and (fpd6) effective interactions within the model space by utilizing the Harmonic Oscillator wave functions as a single particle's wave function. In the (fp-LS) shell, the correction for the main calculations of model space was performed by the 1^st-order perturbation theory to estimate the effects of core polarization with the (2ℏω) energy of excitation that has been carried out. Core polarization combined the model space with the discarded space (higher configuration core). Via model space, the interaction of effective (M3Y-P2) for linking the active particles of a model space with the particle-hole pair. The interaction of two bodies of Michigan 3-range Yukawa (M3Y) was used as a residual interaction for calculating the matrix elements of core polarization. Eventually, form factor theoretical results and the available experimental results were compared.