  The recent discovery of Sr-doped infinite-layer nickelate $\textrm{NdNiO}_2$
[D. Li et al. Nature 572, 624 (2019)] offers an exciting platform for
investigating unconventional superconductivity in nickelatebased compounds. In
this work, we present a first-principles calculations for the electronic and
magnetic properties of undoped parent $\textrm{NdNiO}_2$. Intriguingly, we
found that: 1) the paramagnetic phase has complex Fermi pockets with 3D
characters near the Fermi level; 2) by including electronelectron interactions,
3d-electrons of Ni tend to form $(\pi, \pi, \pi)$ antiferromagnetic ordering at
low temperatures; 3) with moderate interaction strength, 5d-electrons of Nd
contribute small Fermi pockets that could weaken the magnetic order akin to the
self-doping effect. Our results provide a plausible interpretation for the
experimentally observed resistivity minimum and Hall coefficient drop.
Moreover, we elucidate that antiferromagnetic ordering in $\textrm{NdNiO}_2$ is
relatively weak, arising from the small exchange coupling between 3d-electrons
of Niand also hybridization with 5d-electrons of Nd.
