He served as a deputy representative to the Parliament of Norway from Oslo during the terms 2001–2005, 2005–2009 and 2009–2013. On the local level Elvestuen is a member of Oslo city council, and served as city commissioner for public transport and environmental affairs from 2011 until his election to Parliament in 2013. In 2008 he became second deputy leader of his party.
- "Ola Elvestuen" (in Norwegian). Storting.
- "Ola Elvestuen Nestleder i Venstre: Stortingsrepresentant (Oslo) Leder i Energi- og miljøkomiteen". venstre. Retrieved 30 July 2014.
- Reisegg, Øyvind (2007). "Per Elvestuen". In Henriksen, Petter. Store norske leksikon (in Norwegian). Oslo: Kunnskapsforlaget. Retrieved 15 June 2010.
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