diff --git a/doc/man3/SSL_CTX_set1_curves.pod b/doc/man3/SSL_CTX_set1_curves.pod
index 62037eec641d57580c38f54e008d1f42e22994ea..c26ef00306395c5caa26df7e163a2a7d74b8b90e 100644
--- a/doc/man3/SSL_CTX_set1_curves.pod
+++ b/doc/man3/SSL_CTX_set1_curves.pod
@@ -48,15 +48,17 @@ preference order. For a TLS client the groups are used directly in the
 supported groups extension. For a TLS server the groups are used to
 determine the set of shared groups. Currently supported groups for
 B<TLSv1.3> are B<NID_X9_62_prime256v1>, B<NID_secp384r1>, B<NID_secp521r1>,
-B<NID_X25519>, B<NID_X448>, B<NID_ffdhe2048>, B<NID_ffdhe3072>,
-B<NID_ffdhe4096>, B<NID_ffdhe6144> and B<NID_ffdhe8192>.
+B<NID_X25519>, B<NID_X448>, B<NID_brainpoolP256r1tls13>,
+B<NID_brainpoolP384r1tls13>, B<NID_brainpoolP512r1tls13>, B<NID_ffdhe2048>,
+B<NID_ffdhe3072>, B<NID_ffdhe4096>, B<NID_ffdhe6144> and B<NID_ffdhe8192>.
 
 SSL_CTX_set1_groups_list() sets the supported groups for B<ctx> to
-string B<list>. The string is a colon separated list of group NIDs or
-names, for example "P-521:P-384:P-256:X25519:ffdhe2048". Currently supported
-groups for B<TLSv1.3> are B<P-256>, B<P-384>, B<P-521>, B<X25519>, B<X448>,
-B<ffdhe2048>, B<ffdhe3072>, B<ffdhe4096>, B<ffdhe6144>, B<ffdhe8192>. Support
-for other groups may be added by external providers.
+string B<list>. The string is a colon separated list of group names, for example
+"P-521:P-384:P-256:X25519:ffdhe2048". Currently supported groups for B<TLSv1.3>
+are B<P-256>, B<P-384>, B<P-521>, B<X25519>, B<X448>, B<brainpoolP256r1tls13>,
+B<brainpoolP384r1tls13>, B<brainpoolP512r1tls13>, B<ffdhe2048>, B<ffdhe3072>,
+B<ffdhe4096>, B<ffdhe6144> and B<ffdhe8192>. Support for other groups may be
+added by external providers.
 
 SSL_set1_groups() and SSL_set1_groups_list() are similar except they set
 supported groups for the SSL structure B<ssl>.