SELECT 
  category_id, 
  parent_id 
FROM 
  cscart_categories 
WHERE 
  parent_id IN(24927, 24933, 24938, 24941, 24946) 
  AND category_id != 1

Query time 0.00004

JSON explain

{
  "query_block": {
    "select_id": 1,
    "nested_loop": [
      {
        "table": {
          "table_name": "cscart_categories",
          "access_type": "range",
          "possible_keys": ["PRIMARY", "parent", "p_category_id"],
          "key": "parent",
          "key_length": "3",
          "used_key_parts": ["parent_id"],
          "rows": 15,
          "filtered": 100,
          "index_condition": "cscart_categories.parent_id in (24927,24933,24938,24941,24946)",
          "attached_condition": "cscart_categories.category_id <> 1"
        }
      }
    ]
  }
}

Result

category_id parent_id
24929 24927
24930 24927
24931 24927
24932 24927
24934 24933
24935 24933
24936 24933
24937 24933
24939 24938
24940 24938
24942 24941
24943 24941
24944 24941
24945 24941