This work studied the membrane curvature generated by anchored proteins lacking amphipathic helices and intrinsic morphologies, including the Epsin N-terminal homology domain, intrinsically disordered C-terminal domain, and truncated C-terminal fragments, by using coarse-grained molecular dynamics simulations. We found that anchored proteins can stabilize the thermal undulation of membranes at a wavelength five times the protein's binding size. This proportional connection is governed by the membrane bending rigidity and protein density. Extended intrinsically disordered proteins with relatively high hydrophobicity favor colliding with the membrane, leading to a much larger binding size, and show superiority in generating membrane curvature at low density over folded proteins.