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 (
    707, 705, 701, 697, 696, 695, 693, 682, 
    676, 673, 671, 670
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'en'

Query time 0.00058

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "8.41"
    },
    "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": 12,
      "rows_produced_per_join": 12,
      "filtered": "100.00",
      "index_condition": "((`betaatif_store`.`cscart_seo_names`.`object_id` in (707,705,701,697,696,695,693,682,676,673,671,670)) 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": "7.21",
        "eval_cost": "1.20",
        "prefix_cost": "8.41",
        "data_read_per_join": "20K"
      },
      "used_columns": [
        "name",
        "object_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
670 9079-en 2/3/15
671 9079-clone-en 2/3/15
673 s2105-1-clone-en 2
676 dn00225-en 2/5
682 8-dt-2266-en 2/5
693 8-62330t-en 2/5
695 6-d594-en 2/5
696 6-d751-en-2 2/5
697 6-dn01546-en 2/5
701 toronto-en 2/3/15
705 dt-2155-clone-en 2/5
707 lucas-clone-en 2/4/17