http://teamcity:8111/app/rest/application.wadl to get the full list of supported requests and names of parameters. This is the primary source of discovery for the supported requests and their parameters. The same data is also exposed in Swagger format via .../app/rest/swagger.json endpoint
Swagger issue: https://youtrack.jetbrains.com/issue/TW-44962
http://teamcity:8111/app/rest/serverrequest and then drill down following "
href" attributes of the entities listed.
Please make sure you read through this "General information" section before using the API.