diff --git a/CHANGELOG.rst b/CHANGELOG.rst
index 328225cc..dedc1a08 100644
--- a/CHANGELOG.rst
+++ b/CHANGELOG.rst
@@ -4,6 +4,21 @@ Changelog
 Versions are year-based with a strict backward-compatibility policy.
 The third digit is only for regressions.
 
+26.3.0 (UNRELEASED)
+-------------------
+
+Backward-incompatible changes:
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+Deprecations:
+^^^^^^^^^^^^^
+
+Changes:
+^^^^^^^^
+
+- Added ``OpenSSL.SSL.Context.set_groups`` and ``OpenSSL.SSL.Connection.set_groups`` to set allowed groups/curves.
+- The minimum ``cryptography`` version is now 47.0.0.
+
 26.0.0 (2026-03-15)
 -------------------
 
diff --git a/setup.py b/setup.py
index f0d85725..15322336 100644
--- a/setup.py
+++ b/setup.py
@@ -93,7 +93,7 @@ def find_meta(meta):
         packages=find_packages(where="src"),
         package_dir={"": "src"},
         install_requires=[
-            "cryptography>=46.0.0,<47",
+            "cryptography>=47.0.0,<48",
             (
                 "typing-extensions>=4.9; "
                 "python_version < '3.13' and python_version >= '3.8'"
diff --git a/src/OpenSSL/SSL.py b/src/OpenSSL/SSL.py
index 53e85ed2..185d19c3 100644
--- a/src/OpenSSL/SSL.py
+++ b/src/OpenSSL/SSL.py
@@ -1531,6 +1531,19 @@ def set_tls13_ciphersuites(self, ciphersuites: bytes) -> None:
             _lib.SSL_CTX_set_ciphersuites(self._context, ciphersuites) == 1
         )
 
+    @_require_not_used
+    def set_groups(self, groups: bytes) -> None:
+        """
+        Set the supported groups/curves in this SSL Session.
+        """
+        if not isinstance(groups, bytes):
+            raise TypeError("groups must be a byte string.")
+
+        # We use the newer name (groups) in our public API and
+        # use the legacy/more compatible name in the internal API
+        rc = _lib.SSL_CTX_set1_curves_list(self._context, groups)
+        _openssl_assert(rc == 1)
+
     @_require_not_used
     def set_client_ca_list(
         self, certificate_authorities: Sequence[X509Name]
@@ -3249,6 +3262,18 @@ def get_group_name(self) -> str | None:
 
         return _ffi.string(group_name).decode("utf-8")
 
+    def set_groups(self, groups: bytes) -> None:
+        """
+        Set the supported groups/curves in this SSL Session.
+        """
+        if not isinstance(groups, bytes):
+            raise TypeError("groups must be a byte string.")
+
+        # We use the newer name (groups) in our public API and
+        # use the legacy/more compatible name in the internal API
+        rc = _lib.SSL_set1_curves_list(self._ssl, groups)
+        _openssl_assert(rc == 1)
+
     def request_ocsp(self) -> None:
         """
         Called to request that the server sends stapled OCSP data, if
diff --git a/tests/test_ssl.py b/tests/test_ssl.py
index 41233774..8dbe2d4c 100644
--- a/tests/test_ssl.py
+++ b/tests/test_ssl.py
@@ -3581,6 +3581,93 @@ def test_get_group_name(self) -> None:
 
         assert server_group_name == client_group_name
 
+    @pytest.mark.skipif(
+        not getattr(_lib, "Cryptography_HAS_SSL_GET0_GROUP_NAME", None),
+        reason="SSL_get0_group_name unavailable",
+    )
+    def test_set_groups_context(self) -> None:
+        """
+        `Context.set_groups` forces the use of a specific curve/groups list.
+        """
+
+        def loopback_x448_client_factory(
+            socket: socket, version: int = SSLv23_METHOD
+        ) -> Connection:
+            context = Context(version)
+            context.set_groups(b"X448")
+            client = Connection(context, socket)
+            client.set_connect_state()
+            return client
+
+        server, client = loopback(client_factory=loopback_x448_client_factory)
+        server_group_name = server.get_group_name()
+        client_group_name = client.get_group_name()
+
+        assert isinstance(server_group_name, str)
+        assert isinstance(client_group_name, str)
+
+        assert server_group_name.lower() == "x448"
+        assert client_group_name.lower() == "x448"
+
+    @pytest.mark.skipif(
+        not getattr(_lib, "Cryptography_HAS_SSL_GET0_GROUP_NAME", None),
+        reason="SSL_get0_group_name unavailable",
+    )
+    def test_set_groups_session(self) -> None:
+        """
+        `Connection.set_groups` forces the use of a specific curve/groups list.
+        """
+
+        def loopback_x448_server_factory(
+            socket: socket, version: int = SSLv23_METHOD
+        ) -> Connection:
+            connection = loopback_server_factory(socket, version)
+            connection.set_groups(b"X448")
+            return connection
+
+        server, client = loopback(server_factory=loopback_x448_server_factory)
+        server_group_name = server.get_group_name()
+        client_group_name = client.get_group_name()
+
+        assert isinstance(server_group_name, str)
+        assert isinstance(client_group_name, str)
+
+        assert server_group_name.lower() == "x448"
+        assert client_group_name.lower() == "x448"
+
+    def test_set_groups_mismatch(self) -> None:
+        """
+        Forces different group lists on client and server so that a connection
+        should not be possible.
+        """
+
+        def loopback_x25519_client_factory(
+            socket: socket, version: int = SSLv23_METHOD
+        ) -> Connection:
+            connection = loopback_client_factory(socket, version)
+            connection.set_groups(b"X25519")
+            return connection
+
+        def loopback_x448_server_factory(
+            socket: socket, version: int = SSLv23_METHOD
+        ) -> Connection:
+            ctx = Context(version)
+            ctx.set_groups(b"X448")
+
+            ctx.use_privatekey(load_privatekey(FILETYPE_PEM, server_key_pem))
+            ctx.use_certificate(
+                load_certificate(FILETYPE_PEM, server_cert_pem)
+            )
+            server = Connection(ctx, socket)
+            server.set_accept_state()
+            return server
+
+        with pytest.raises(SSL.Error):
+            loopback(
+                client_factory=loopback_x25519_client_factory,
+                server_factory=loopback_x448_server_factory,
+            )
+
     def test_wantReadError(self) -> None:
         """
         `Connection.bio_read` raises `OpenSSL.SSL.WantReadError` if there are