SELECT 
  category_id, 
  parent_id 
FROM 
  cscart_categories 
WHERE 
  parent_id IN(
    2487, 2488, 2499, 2501, 2585, 2631, 2682, 
    2684
  ) 
  AND category_id != 414

Query time 0.00025

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "8.76"
    },
    "table": {
      "table_name": "cscart_categories",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "parent",
        "p_category_id"
      ],
      "key": "parent",
      "used_key_parts": [
        "parent_id"
      ],
      "key_length": "3",
      "rows_examined_per_scan": 15,
      "rows_produced_per_join": 15,
      "filtered": "100.00",
      "index_condition": "(`s2cart`.`cscart_categories`.`parent_id` in (2487,2488,2499,2501,2585,2631,2682,2684))",
      "cost_info": {
        "read_cost": "7.26",
        "eval_cost": "1.50",
        "prefix_cost": "8.76",
        "data_read_per_join": "53K"
      },
      "used_columns": [
        "category_id",
        "parent_id"
      ],
      "attached_condition": "(`s2cart`.`cscart_categories`.`category_id` <> 414)"
    }
  }
}

Result

category_id parent_id
2489 2488
2490 2488
2491 2488
2492 2488
2493 2488
2494 2488
2495 2488
2500 2499
2586 2585
2587 2585
2683 2682
2685 2684
2686 2684