Hello Mossalot,
Interesting, because i have copied the cipher list from the Dropbox PHP SDK. In 3.1.1 the list was not integrated.
The Cipher list is:
curl_setopt( $ch, CURLOPT_SSL_CIPHER_LIST,
'ECDHE-RSA-AES256-GCM-SHA384:'.
'ECDHE-RSA-AES128-GCM-SHA256:'.
'ECDHE-RSA-AES256-SHA384:'.
'ECDHE-RSA-AES128-SHA256:'.
'ECDHE-RSA-AES256-SHA:'.
'ECDHE-RSA-AES128-SHA:'.
'ECDHE-RSA-RC4-SHA:'.
'DHE-RSA-AES256-GCM-SHA384:'.
'DHE-RSA-AES128-GCM-SHA256:'.
'DHE-RSA-AES256-SHA256:'.
'DHE-RSA-AES128-SHA256:'.
'DHE-RSA-AES256-SHA:'.
'DHE-RSA-AES128-SHA:'.
'AES256-GCM-SHA384:'.
'AES128-GCM-SHA256:'.
'AES256-SHA256:'.
'AES128-SHA256:'.
'AES256-SHA:'.
'AES128-SHA'
);
You must find out with is not supported on your server and install it. Or deactivate the security with 3.1.2 and the mini plugin from https://www.ads-software.com/support/topic/dropbox-api-35-unsupported-ssl-protocol-version?replies=34.