diff --git a/datasette/views/table.py b/datasette/views/table.py
index d47865f0e5..b51d5e5ec9 100644
--- a/datasette/views/table.py
+++ b/datasette/views/table.py
@@ -379,6 +379,13 @@ async def data(
         if is_view:
             order_by = ""
 
+        nocount = request.args.get("_nocount")
+        nofacet = request.args.get("_nofacet")
+
+        if request.args.get("_shape") in ("array", "object"):
+            nocount = True
+            nofacet = True
+
         # Ensure we don't drop anything with an empty value e.g. ?name__exact=
         args = MultiParams(
             urllib.parse.parse_qs(request.query_string, keep_blank_values=True)
@@ -697,11 +704,7 @@ async def data(
             except KeyError:
                 pass
 
-        if (
-            count_sql
-            and filtered_table_rows_count is None
-            and not request.args.get("_nocount")
-        ):
+        if count_sql and filtered_table_rows_count is None and not nocount:
             try:
                 count_rows = list(await db.execute(count_sql, from_sql_params))
                 filtered_table_rows_count = count_rows[0][0]
@@ -735,7 +738,7 @@ async def data(
                 )
             )
 
-        if not request.args.get("_nofacet"):
+        if not nofacet:
             for facet in facet_instances:
                 (
                     instance_facet_results,
@@ -833,7 +836,7 @@ async def data(
             self.ds.setting("suggest_facets")
             and self.ds.setting("allow_facet")
             and not _next
-            and not request.args.get("_nofacet")
+            and not nofacet
         ):
             for facet in facet_instances:
                 suggested_facets.extend(await facet.suggest())
diff --git a/tests/test_api.py b/tests/test_api.py
index 49b3bbe992..078aad3506 100644
--- a/tests/test_api.py
+++ b/tests/test_api.py
@@ -1692,6 +1692,11 @@ def test_nocount(app_client, nocount, expected_count):
     assert response.json["filtered_table_rows_count"] == expected_count
 
 
+def test_nocount_nofacet_if_shape_is_object(app_client):
+    response = app_client.get("/fixtures/facetable.json?_trace=1&_shape=object")
+    assert "count(*)" not in response.text
+
+
 def test_expand_labels(app_client):
     response = app_client.get(
         "/fixtures/facetable.json?_shape=object&_labels=1&_size=2"