If you go to the asset page, and click the “Logs” tab you should see all logs that reference the asset. Open the “Filters” box and filter to movement logs, and you’ll see all of the asset’s movements.
Hopefully that will help you located it via the API too. You basically want to filter by the asset and is_movement fields in the API (also by timestamp and status if it’s possible you have uncompleted movements in the future that should not be included).