Abel's father was, however, important in the politics of Norway and, after Sweden gained control of Norway in 1814, he was involved in writing a new constitution for Norway as a member of the Storting, the Norwegian legislative body.
Abel's ama ay, gayunpaman, mahalaga sa pulitika ng Norway at, matapos Sweden nagkamit control ng Norway sa 1814, siya ay kasangkot sa pagsulat ng isang bagong saligang-batas para sa Norway bilang isang miyembro ng Storting, ang Norwegian pambatasan ng katawan.