How server key limits protocols and ciphers used? [duplicate]

Question

There is a server (app) that uses OpenSSL to allow clients establish secure connection. The certificate info for server public key is:

Certificate:
    Data:
        Version: 1 (0x0)
        Serial Number: 1 (0x1)
        Signature Algorithm: sha1WithRSAEncryption
        Subject Public Key Info:
            Public Key Algorithm: rsaEncryption
                RSA Public-Key: (2048 bit)
    Signature Algorithm: sha1WithRSAEncryption

What ciphers and TLS versions does server key allow? How to determine the answer, knowing capabilities and / or having access to OpenSSL configuration of a client and a server?