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 (
    12650, 12649, 12643, 12640, 12647, 15800, 
    12639, 12641, 12638, 12637, 12634, 
    12635, 12636, 12654, 12653, 12652, 
    12656, 12655, 12646, 12631, 12998, 
    12997, 12996, 12995, 10826, 10825, 
    10824, 10823, 10822, 10821, 10820, 
    10819, 10818, 10817, 10816, 10815, 
    10814, 10813, 13044, 13043, 13042, 
    13041, 13040, 13039, 13038, 13037, 
    13036, 13035, 13034, 13033, 13032, 
    13031, 13030, 13029, 13028, 13027, 
    13026, 13025, 13024, 13023, 13022, 
    13021, 13020, 13019
  ) 
  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 0.00232

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "dispatch"],
      "key": "PRIMARY",
      "key_length": "210",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "rows": 128,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (12650,12649,12643,12640,12647,15800,12639,12641,12638,12637,12634,12635,12636,12654,12653,12652,12656,12655,12646,12631,12998,12997,12996,12995,10826,10825,10824,10823,10822,10821,10820,10819,10818,10817,10816,10815,10814,10813,13044,13043,13042,13041,13040,13039,13038,13037,13036,13035,13034,13033,13032,13031,13030,13029,13028,13027,13026,13025,13024,13023,13022,13021,13020,13019) 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)"
    }
  }
}