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In a Server Key Exchange message, isn't it supposed to send both the public key's parameters which are for DH: the g(generator) and p(modulus), but the message only contains one public key called Pubkey: so is that the g, p or both, or is there a fixed variable like there is for the RSA public exponent which is 2^16+1? And where is g^e mod p?

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  • $\begingroup$ Note: using 2^16+1 for RSA public exponent is fairly common but by no means required. SSL/TLS used ephemeral RSA keys only for some of the deliberately-weak and long-obsolete 'export' ciphersuites, and in that case it explicitly sent m and e, see rfc2246 7.4.3. Mostly it uses static RSA keys in an X.509 certificate which are encoded as standardized for X.509/PKIX by rfc3279. $\endgroup$ – dave_thompson_085 Dec 18 '16 at 4:20
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From the screenshot:

EC Diffie-Hellman Server Params
Curve Type: named_curve
Named Curve: secp256r1
Pubkey: ...
Signature: ...

This tells us the following: You used a key exchange with ECDHE. They key exchange used P-256 (the elliptic curve, aka secp256r1) and the given value describes the public ECDH key and the signature on this value.

The paramters you are looking for are hard-coded for P-256 and documented in several places (for example in this PDF). The $g^e\bmod p$ you're looking for is the Pubkey which is mentioned in the screenshot.

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  • $\begingroup$ do you mean that this if it is a DH only key exchange, it will send the p, and g alone, but this is a ECDHE nstead? $\endgroup$ – user3407319 Dec 17 '16 at 14:21
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    $\begingroup$ @user3407319 Yes (?), if it were proper (plain) DH it would send $p$ and $g$ but as this is ECDHE it only sends "use this standard curve" $\endgroup$ – SEJPM Dec 17 '16 at 14:22

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