Thunderbird of the Raging Storm

Would one use the genitive gerund saeviendi for 'raging' when translating the following into Latin?

Thunderbird of the Raging Storm
Avis Tonitrus Saeviendi Tempesatatis
 

Callaina

Feles Curiosissima
No, you need a present participle.

Tonitrus avis saevientis tempestatis.
 
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