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 = 'category' 
  AND cscart_images_links.type = 'M' 
  AND cscart_images_links.object_id IN (
    587, 581, 577, 565, 341, 555, 337, 537, 
    561, 345, 343, 334, 603
  ) 
ORDER BY 
  cscart_images_links.position, 
  cscart_images_links.pair_id

Query time 0.00069

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": 16,
          "filtered": 100,
          "index_condition": "cscart_images_links.object_type = 'category' and cscart_images_links.`type` = 'M' and cscart_images_links.object_id in (587,581,577,565,341,555,337,537,561,345,343,334,603)"
        }
      }
    },
    "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 5490 337 category 3698 M 0
0 5496 343 category 3704 M 0
0 5499 334 category 3707 M 0
0 5766 341 category 3975 M 0
0 6391 537 category 4600 M 0
0 6764 555 category 4974 M 0
0 7202 345 category 5412 M 0
0 7241 561 category 5451 M 0
0 7807 565 category 6017 M 0
0 8397 577 category 6607 M 0
0 9218 581 category 7428 M 0
0 9411 587 category 7621 M 0
0 11243 603 category 9450 M 0