To connect using SSL you need to add the server's certificate in a truststore, either the standard Java store or one that you create yourself. You also need to set the driver property ENABLE_SSL=TRUE (exact syntax depends on the driver). 
Please refer to the Users Guide section on Security for general information, and Configuring Connection Properties - Driver Properties for details on setting driver properties in DbVisualizer.

A few links specific to Sybase:
Please note that these links are provided at your convenience.
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