/etc/zsh/zlogin is in zsh-common 5.0.2-3ubuntu6.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 | # /etc/zsh/zlogin: system-wide .zlogin file for zsh(1).
#
# This file is sourced only for login shells. It
# should contain commands that should be executed only
# in login shells. It should be used to set the terminal
# type and run a series of external commands (fortune,
# msgs, from, etc.)
#
# Global Order: zshenv, zprofile, zshrc, zlogin
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