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 (
    51007, 51004, 51005, 51010, 51008, 51012, 
    51013, 51011, 51015, 51006, 51021, 
    51016, 51024, 51017, 51019, 51018, 
    51022, 51014, 51045, 51025, 51029, 
    51060, 51027, 51063, 51020, 51067, 
    51028, 51031, 51062, 51042, 51030, 
    51032, 51033, 51026, 51035, 51059, 
    51069, 51070, 51038, 51066, 51023, 
    51041, 51056, 51040, 51050, 51065, 
    51039, 51052, 51009, 51034, 51061, 
    51036, 51037, 51068, 51064, 51055, 
    51058, 51071
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00098

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "81.21"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 116,
      "rows_produced_per_join": 116,
      "filtered": "100.00",
      "index_condition": "((`test_uchur_k`.`cscart_seo_names`.`object_id` in (51007,51004,51005,51010,51008,51012,51013,51011,51015,51006,51021,51016,51024,51017,51019,51018,51022,51014,51045,51025,51029,51060,51027,51063,51020,51067,51028,51031,51062,51042,51030,51032,51033,51026,51035,51059,51069,51070,51038,51066,51023,51041,51056,51040,51050,51065,51039,51052,51009,51034,51061,51036,51037,51068,51064,51055,51058,51071)) and (`test_uchur_k`.`cscart_seo_names`.`type` = 'p') and (`test_uchur_k`.`cscart_seo_names`.`dispatch` = '') and (`test_uchur_k`.`cscart_seo_names`.`lang_code` = 'ru') and ((`test_uchur_k`.`cscart_seo_names`.`company_id` = 1) or (`test_uchur_k`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "69.61",
        "eval_cost": "11.60",
        "prefix_cost": "81.21",
        "data_read_per_join": "196K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}