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SELECT 
  jmj_tags.tag_id, 
  jmj_tag_links.object_id, 
  jmj_tag_links.object_type, 
  jmj_tags.tag, 
  jmj_tags.status, 
  COUNT(jmj_tag_links.tag_id) as popularity 
FROM 
  jmj_tags 
  LEFT JOIN jmj_tag_links ON jmj_tag_links.tag_id = jmj_tags.tag_id 
WHERE 
  1 
  AND jmj_tag_links.object_type = 'P' 
  AND jmj_tags.status IN ('A') 
  AND jmj_tag_links.object_id = 1587 
GROUP BY 
  jmj_tags.tag_id 
ORDER BY 
  jmj_tags.tag asc

Query time 0.01098

JSON explain

{
  "query_block": {
    "select_id": 1,
    "message": "no matching row in const table"
  }
}