SELECT 
  cscart_images.*, 
  cscart_images_links.*, 
  cscart_common_descriptions.description AS alt, 
  cscart_images.image_id AS images_image_id 
FROM 
  cscart_images_links 
  LEFT JOIN cscart_images ON cscart_images_links.image_id = cscart_images.image_id 
  LEFT JOIN cscart_common_descriptions ON cscart_common_descriptions.object_id = cscart_images.image_id 
  AND cscart_common_descriptions.object_holder = 'images' 
  AND cscart_common_descriptions.lang_code = 'ru' 
WHERE 
  cscart_images_links.object_type = 'product' 
  AND cscart_images_links.type = 'M' 
  AND cscart_images_links.object_id IN (
    589, 584, 579, 587, 586, 578, 585, 582, 
    577, 588, 581, 583
  ) 
ORDER BY 
  cscart_images_links.position, 
  cscart_images_links.pair_id

Query time 0.00055

JSON explain

{
  "query_block": {
    "select_id": 1,
    "read_sorted_file": {
      "filesort": {
        "sort_key": "cscart_images_links.position, cscart_images_links.pair_id",
        "table": {
          "table_name": "cscart_images_links",
          "access_type": "range",
          "possible_keys": ["object_id"],
          "key": "object_id",
          "key_length": "81",
          "used_key_parts": ["object_id", "object_type", "type"],
          "rows": 12,
          "filtered": 100,
          "index_condition": "cscart_images_links.object_type = 'product' and cscart_images_links.`type` = 'M' and cscart_images_links.object_id in (589,584,579,587,586,578,585,582,577,588,581,583)"
        }
      }
    },
    "table": {
      "table_name": "cscart_images",
      "access_type": "eq_ref",
      "possible_keys": ["PRIMARY"],
      "key": "PRIMARY",
      "key_length": "4",
      "used_key_parts": ["image_id"],
      "ref": ["noframes_kz_new.cscart_images_links.image_id"],
      "rows": 1,
      "filtered": 100
    },
    "table": {
      "table_name": "cscart_common_descriptions",
      "access_type": "eq_ref",
      "possible_keys": ["PRIMARY"],
      "key": "PRIMARY",
      "key_length": "107",
      "used_key_parts": ["object_id", "lang_code", "object_holder"],
      "ref": ["noframes_kz_new.cscart_images.image_id", "const", "const"],
      "rows": 1,
      "filtered": 100,
      "attached_condition": "trigcond(cscart_common_descriptions.object_id = cscart_images.image_id and cscart_common_descriptions.object_holder = 'images' and cscart_common_descriptions.lang_code = 'ru' and trigcond(cscart_images.image_id is not null))"
    }
  }
}

Result

image_id image_path image_x image_y is_high_res rf_original pair_id object_id object_type detailed_id type position alt images_image_id
0 4447 577 product 2655 M 0
0 4448 578 product 2656 M 0
0 4449 579 product 2657 M 0
0 4451 581 product 2659 M 0
0 4452 582 product 2660 M 0
0 4453 583 product 2661 M 0
0 4454 584 product 2662 M 0
0 4455 585 product 2663 M 0
0 4456 586 product 2664 M 0
0 4457 587 product 2665 M 0
0 4458 588 product 2666 M 0
0 4459 589 product 2667 M 0