SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    671, 670, 664, 663, 658, 657, 656, 651, 
    377, 371, 369, 368
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'en'

Query time 0.00053

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "9.76"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code"
      ],
      "key_length": "206",
      "rows_examined_per_scan": 15,
      "rows_produced_per_join": 15,
      "filtered": "100.00",
      "index_condition": "((`betaatif_store`.`cscart_seo_names`.`object_id` in (671,670,664,663,658,657,656,651,377,371,369,368)) and (`betaatif_store`.`cscart_seo_names`.`type` = 'p') and (`betaatif_store`.`cscart_seo_names`.`dispatch` = '') and (`betaatif_store`.`cscart_seo_names`.`lang_code` = 'en'))",
      "cost_info": {
        "read_cost": "8.26",
        "eval_cost": "1.50",
        "prefix_cost": "9.76",
        "data_read_per_join": "25K"
      },
      "used_columns": [
        "name",
        "object_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
368 0137-en 2/3/15
369 0136-en 2/3/15
371 bedroom-model-0137-clone 2/3/15
377 bedroom-model-0135-clone 2/3/15
651 kata-14-en 2/3/16
656 138-en 2/3/15
657 871-en 2/3/15
658 133-en 2/3/15
663 2011-en 2/3/15
664 2015-en 2/3/15
670 9079-en 2/3/15
671 9079-clone-en 2/3/15