The pattern is:
(avoir: j'aurais, tu aurais, il aurait, nous aurions, vous auriez, ils auraient)
Note:
See other lessons on Conditionnel passé:
Conjugate verbs with irregular past participles in Le Conditionnel Passé (past conditional)
Conjugate verbs (+ être) in Le Conditionnel Passé (past conditional)
Conjugate devoir in Le Conditionnel Passé = should have (past conditional)
Conjugate pouvoir in Le Conditionnel Passé = could have (past conditional)
See other lessons on Conditionnel passé:
Conjugate verbs with irregular past participles in Le Conditionnel Passé (past conditional)
Conjugate verbs (+ être) in Le Conditionnel Passé (past conditional)
Conjugate devoir in Le Conditionnel Passé = should have (past conditional)
Conjugate pouvoir in Le Conditionnel Passé = could have (past conditional)
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Examples and resources

aimer
appeler
atterrir
Selon le journaliste, l'avion aurait atterri sans problème.According to the reporter, the plane would have landed without a problem.
choisir
corrompre
finir
Tu aurais fini tes devoirs si tu n'avais pas joué à la console.You would have finished your homework if you hadn't played the console.