diff --git a/astropy/cosmology/flrw/tests/test_base.py b/astropy/cosmology/flrw/tests/test_base.py
index 851a067de657..fe3691ac85fb 100644
--- a/astropy/cosmology/flrw/tests/test_base.py
+++ b/astropy/cosmology/flrw/tests/test_base.py
@@ -1,6 +1,12 @@
 # Licensed under a 3-clause BSD style license - see LICENSE.rst
 
-"""Testing :mod:`astropy.cosmology.flrw.base`."""
+"""Testing :mod:`astropy.cosmology.flrw.base`.
+
+This module sets up the tests for subclasses of :class:`astropy.cosmology.FLRW`. The
+tests for the specific abstract class :class:`astropy.cosmology.FLRW` are in
+``test_flrw``.
+
+"""
 
 import abc
 import copy
@@ -35,16 +41,6 @@
 
 from .conftest import filter_keys_from_items
 
-##############################################################################
-# SETUP / TEARDOWN
-
-
-@dataclass_decorator
-class SubFLRW(FLRW):
-    def w(self, z):
-        return super().w(z)
-
-
 ##############################################################################
 # TESTS
 ##############################################################################
@@ -862,93 +858,7 @@ def test_comoving_distance_example(self, cosmo_cls, args, kwargs, expected):
         assert u.allclose(cosmo.comoving_distance(z), expected, rtol=1e-4)
 
 
-class TestFLRW(FLRWTest):
-    """Test :class:`astropy.cosmology.FLRW`."""
-
-    abstract_w = True
-
-    def setup_class(self):
-        """
-        Setup for testing.
-        FLRW is abstract, so tests are done on a subclass.
-        """
-        super().setup_class(self)
-
-        # make sure SubCosmology is known
-        _COSMOLOGY_CLASSES["SubFLRW"] = SubFLRW
-
-        self.cls = SubFLRW
-
-    def teardown_class(self):
-        super().teardown_class(self)
-        _COSMOLOGY_CLASSES.pop("SubFLRW", None)
-
-    # ===============================================================
-    # Method & Attribute Tests
-
-    # ---------------------------------------------------------------
-    # Methods
-
-    def test_w(self, cosmo):
-        """Test abstract :meth:`astropy.cosmology.FLRW.w`."""
-        with pytest.raises(NotImplementedError, match="not implemented"):
-            cosmo.w(1)
-
-    def test_Otot(self, cosmo):
-        """Test :meth:`astropy.cosmology.FLRW.Otot`."""
-        exception = NotImplementedError if HAS_SCIPY else ModuleNotFoundError
-        with pytest.raises(exception):
-            assert cosmo.Otot(1)
-
-    def test_efunc_vs_invefunc(self, cosmo):
-        """
-        Test that efunc and inv_efunc give inverse values.
-        Here they just fail b/c no ``w(z)`` or no scipy.
-        """
-        exception = NotImplementedError if HAS_SCIPY else ModuleNotFoundError
-
-        with pytest.raises(exception):
-            cosmo.efunc(0.5)
-
-        with pytest.raises(exception):
-            cosmo.inv_efunc(0.5)
-
-    @pytest.mark.skip(reason="w(z) is abstract")
-    def test_luminosity_distance_pandas(self, cosmo):
-        """Test :meth:`astropy.cosmology.FLRW.luminosity_distance`."""
-
-    _FLRW_redshift_methods = get_redshift_methods(
-        FLRW, include_private=True, include_z2=False
-    ) - {"w"}
-
-    @pytest.mark.skipif(not HAS_SCIPY, reason="scipy is not installed")
-    @pytest.mark.parametrize("z, exc", invalid_zs)
-    @pytest.mark.parametrize("method", sorted(_FLRW_redshift_methods))
-    def test_redshift_method_bad_input(self, cosmo, method, z, exc):
-        """Test all the redshift methods for bad input."""
-        with pytest.raises(exc):
-            getattr(cosmo, method)(z)
-
-    # ===============================================================
-    # Usage Tests
-
-    @pytest.mark.skipif(not HAS_SCIPY, reason="scipy required for this test.")
-    @pytest.mark.parametrize("method", ("Om", "Ode", "w", "de_density_scale"))
-    def test_distance_broadcast(self, cosmo, method):
-        with pytest.raises(NotImplementedError):
-            super().test_distance_broadcast(cosmo, method)
-
-    @pytest.mark.skipif(not HAS_SCIPY, reason="scipy required for this test.")
-    @pytest.mark.parametrize(
-        ("args", "kwargs", "expected"),
-        [((70, 0.27, 0.73), {"Tcmb0": 3.0, "Ob0": 0.03}, None)],
-    )
-    def test_comoving_distance_example(self, cosmo_cls, args, kwargs, expected):
-        with pytest.raises(NotImplementedError):
-            super().test_comoving_distance_example(cosmo_cls, args, kwargs, expected)
-
-
-# -----------------------------------------------------------------------------
+# ==============================================================================
 
 
 class ParameterFlatOde0TestMixin(ParameterOde0TestMixin):
diff --git a/astropy/cosmology/flrw/tests/test_flrw.py b/astropy/cosmology/flrw/tests/test_flrw.py
new file mode 100644
index 000000000000..e2c906f2d320
--- /dev/null
+++ b/astropy/cosmology/flrw/tests/test_flrw.py
@@ -0,0 +1,108 @@
+# Licensed under a 3-clause BSD style license - see LICENSE.rst
+
+"""Testing :mod:`astropy.cosmology.FLRW`."""
+
+from typing import final
+
+import pytest
+
+from astropy.cosmology import FLRW
+from astropy.cosmology.core import _COSMOLOGY_CLASSES, dataclass_decorator
+from astropy.cosmology.tests.helper import get_redshift_methods
+from astropy.cosmology.tests.test_core import invalid_zs
+from astropy.utils.compat.optional_deps import HAS_SCIPY
+
+from .test_base import FLRWTest
+
+
+@dataclass_decorator
+class SubFLRW(FLRW):
+    def w(self, z):
+        return super().w(z)
+
+
+@final
+class TestFLRW(FLRWTest):
+    """Test :class:`astropy.cosmology.FLRW`."""
+
+    abstract_w = True
+
+    def setup_class(self):
+        """
+        Setup for testing.
+        FLRW is abstract, so tests are done on a subclass.
+        """
+        super().setup_class(self)
+
+        # make sure SubCosmology is known
+        _COSMOLOGY_CLASSES["SubFLRW"] = SubFLRW
+
+        self.cls = SubFLRW
+
+    def teardown_class(self):
+        super().teardown_class(self)
+        _COSMOLOGY_CLASSES.pop("SubFLRW", None)
+
+    # ===============================================================
+    # Method & Attribute Tests
+
+    # ---------------------------------------------------------------
+    # Methods
+
+    def test_w(self, cosmo):
+        """Test abstract :meth:`astropy.cosmology.FLRW.w`."""
+        with pytest.raises(NotImplementedError, match="not implemented"):
+            cosmo.w(1)
+
+    def test_Otot(self, cosmo):
+        """Test :meth:`astropy.cosmology.FLRW.Otot`."""
+        exception = NotImplementedError if HAS_SCIPY else ModuleNotFoundError
+        with pytest.raises(exception):
+            assert cosmo.Otot(1)
+
+    def test_efunc_vs_invefunc(self, cosmo):
+        """
+        Test that efunc and inv_efunc give inverse values.
+        Here they just fail b/c no ``w(z)`` or no scipy.
+        """
+        exception = NotImplementedError if HAS_SCIPY else ModuleNotFoundError
+
+        with pytest.raises(exception):
+            cosmo.efunc(0.5)
+
+        with pytest.raises(exception):
+            cosmo.inv_efunc(0.5)
+
+    @pytest.mark.skip(reason="w(z) is abstract")
+    def test_luminosity_distance_pandas(self, cosmo):
+        """Test :meth:`astropy.cosmology.FLRW.luminosity_distance`."""
+
+    _FLRW_redshift_methods = get_redshift_methods(
+        FLRW, include_private=True, include_z2=False
+    ) - {"w"}
+
+    @pytest.mark.skipif(not HAS_SCIPY, reason="scipy is not installed")
+    @pytest.mark.parametrize("z, exc", invalid_zs)
+    @pytest.mark.parametrize("method", sorted(_FLRW_redshift_methods))
+    def test_redshift_method_bad_input(self, cosmo, method, z, exc):
+        """Test all the redshift methods for bad input."""
+        with pytest.raises(exc):
+            getattr(cosmo, method)(z)
+
+    # ===============================================================
+    # Usage Tests
+
+    @pytest.mark.skipif(not HAS_SCIPY, reason="scipy required for this test.")
+    @pytest.mark.parametrize("method", ("Om", "Ode", "w", "de_density_scale"))
+    def test_distance_broadcast(self, cosmo, method):
+        with pytest.raises(NotImplementedError):
+            super().test_distance_broadcast(cosmo, method)
+
+    @pytest.mark.skipif(not HAS_SCIPY, reason="scipy required for this test.")
+    @pytest.mark.parametrize(
+        ("args", "kwargs", "expected"),
+        [((70, 0.27, 0.73), {"Tcmb0": 3.0, "Ob0": 0.03}, None)],
+    )
+    def test_comoving_distance_example(self, cosmo_cls, args, kwargs, expected):
+        with pytest.raises(NotImplementedError):
+            super().test_comoving_distance_example(cosmo_cls, args, kwargs, expected)