According to the official Drupal documentation, to create a new site using composer you should use a composer template project called drupal/recommended-project. This has a default composer.json file setup with some values that will help you get up and running swiftly with a new Drupal project.
It's a good initiative to get you up and running with a standard Drupal site pretty quickly. I've used this composer project a number of times now, but I haven't really looked at what's in it. I thought I would dive in and see exactly that's in there and dissect it line by line.
To reiterate what's in the Drupal documentation, to create a brand new Drupal project using composer use the following command.