[en] By using point-coupling versions of finite range nuclear relativistic mean field models containing cubic and quartic self interactionsin the scalar field σ, a nonrelativistic limit is achieved. This approach allows for an analytical expression for the symmetry energy (J) as a function of its slope (L) in a unified form, namely, L = 3J + f(m*, ρ_o, B_o, K_o), where the quantities m*, p_o, B_o and K_o are bulk parameters at the nuclear matter saturation density ρ_o. This result establishes a linear correlation between L and J which is reinforced by exact relativistic calculations we have performed. An analogous analytical correlation can also be found for J, L and the symmetry energy curvature (K_s_y_m). Based on these results, we propose a graphic constraint in L × J plane which finite range models should satisfy. (paper)