We present detailed tabulations of stellar models and pulsational properties for low-mass He-core white dwarf stars, for different stellar masses and effective temperatures. Pulsation periods were computed for g- and p-modes with harmonic degree l=1. The stellar mass ranges from 0.17M_{sun} to 0.45M_{sun}, while the effective temperature ranges from 13000 to 8000K. The pulsation periods are listed in files named ava_m.mmm_g.tgz and ava_m.mmm_p.tgz, for g- and p-modes, respectively, were m.mmm denotes the stellar mass in solar mass units. These files contain a sequence of tables (avannn_m.mmm_g.out and avannn_m.mmm_p.out) corresponding to models with decreasing effective temperature, where nnn correspond to the number of file, starting with nnn=001. In each avannn_m.mmm_g.out and avannn_m.mmm_p.out files, the following quantities are listed: harmonic degree (l), radial order (k), Period, period spacing (DP), kinetic energy (log(Ek)) and first order rotation splitting coefficient (C_kl). The stellar parameters characterizing each model are listed at the top of the table as a header: stellar mass in solar units (M_*/M_{sun}), luminosity in solar units (L_*/L_{sun}), effective temperature in Kelvin (Teff[K]), hydrogen mass in units of the stellar mass (log(M_H/M_*)), age in millions of years (Time [10^6^yr]), and asymptotic period spacing in seconds (DPa [s], for g-modes only). The chemical profiles and critical frequencies are listed in the files par_m.mmm.tgz, which contain a sequence of tables corresponding to models with decreasing effective temperature (parnnn_m.mmm.out). Stellar parameters of each model are listed as a header: stellar mass in solar units (M_*/M_{sun}), effective temperature in Kelvin (Teff[K]), luminosity in solar units (L_*/L_{sun}) and hydrogen mass in units of stellar mass (log(M_H/M_*)). Below the header, the following quantities are listed: normalized radial coordinate (r/R_*), the outer mass fraction coordinate (-log q, with q=1-M_r/M_*), the squared Brunt-Vaisala (N^2^) and Lamb (L^2^) frequencies, the Ledoux term (B Ledoux), and the abundances by mass of hydrogen (H1), helium (He4), carbon (C12) and oxygen (O16).