It looks like the URL you posted is not entirely correct. That seems to direct you to all of Airtable’s CodePen’s, of which you want the big one listed at the top: https://codepen.io/airtable/pen/rLKkYB
That CodePen should provide you fields to add/customize the parameters for listing records in a given base. The encoded URL will appear at the bottom of the screen that you can then use in cURL requests as documented in any of your base’s Standard API documentation.
If this answers your question, please consider marking it as “solution”. If not, I’m happy to work with you further. Thanks!