Composer installation is pretty easy. All you need is SSH to your server and run following commands:

php -r "copy('https://getcomposer.org/installer', 'composer-setup.php');"
php -r "if (hash_file('SHA384', 'composer-setup.php') === 'aa96f26c2b67226a324c27919f1eb05f21c248b987e6195cad9690d5c1ff713d53020a02ac8c217dbf90a7eacc9d141d') { echo 'Installer verified'; } else { echo 'Installer corrupt'; unlink('composer-setup.php'); } echo PHP_EOL;"
php composer-setup.php
php -r "unlink('composer-setup.php');"

You can also make composer available for all users by moving just created composer.phar to /usr/local/bin/ folder:

chmod +x php composer-setup.php
mv composer.phar /usr/local/bin/composer

In case your server is using CageFS, please ensure to run these commands:

echo -en  '[composer]\ncomment=Composer\npaths=/usr/local/bin/composer\n' > /etc/cagefs/conf.d/composer.cfg
cagefsctl --force-update