During an installation or upgrade process of View Composer, self-signed certificates can also be created. So it is possible to have more than one certificate named VMware View Composer Server on the Composer-VM. But which one is currently used? You can use the command
C:\Program Files (x86)\VMware\VMware View Composer\sviconfig.exe -operation=replacecertificate -delete=false to replace the certificate. During this process you get a list of certificated. But to use
sviconfig.exe, you have to shut down View Composer which is not very practically.
The View GUI does not show the Composer certificate thumbprint, but you can use the windows registry to get this information. The registry key HKEY_LOCAL_MACHINE\SYSTEM\CurrentControlSet\services\HTTP\Parameters\SslBindingInfo.0.0.0:18443\SslCertHash saves the Composer certificate thumbprint.