You can retrieve your list of reports for a given data source by doing the following:
HTTP GET to https://www.easy-insight.com/app/api/reports.json?data_source_id=[Data Source Id]
The result will be a JSON array with an entry for each report:
[ { "name": "report 1", "id": "abcabcabc" }, { "name": "report 2", "id": "bcdbcdbcdbcd" } ]