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Net Loss Per Share - Calculation of Basic and Diluted Net Loss per Share (Details) - USD ($)
$ / shares in Units, $ in Thousands
 3 Months Ended 6 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Numerator:        
Net loss $ (319,771) $ (90,346) $ (499,275) $ (160,838)
Denominator:        
Common shares outstanding—basic (shares) 87,766,069 68,248,023 84,174,099 68,227,564
Common shares outstanding—diluted (shares) 87,766,069 68,248,023 84,174,099 68,227,564
Net loss per share attributable to common shareholders of Biohaven Pharmaceutical Holding Company Ltd. - basic (in dollars per share) $ (3.64) $ (1.32) $ (5.93) $ (2.36)
Net loss per share attributable to common shareholders of Biohaven Pharmaceutical Holding Company Ltd. - diluted (in dollars per share) $ (3.64) $ (1.32) $ (5.93) $ (2.36)