jats:titleAbstract</jats:title>jats:pLetjats:inline-formulajats:alternativesjats:tex-math$f$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">mml:mif</mml:mi></mml:math></jats:alternatives></jats:inline-formula>be a cuspidal Hecke eigenform of level 1. We prove the automorphy of the symmetric power liftingjats:inline-formulajats:alternativesjats:tex-math$\mathrm{Sym}nf$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">mml:msupmml:moSym</mml:mo>mml:min</mml:mi></mml:msup>mml:mif</mml:mi></mml:math></jats:alternatives></jats:inline-formula>for everyjats:inline-formulajats:alternativesjats:tex-math$n\ge 1$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">mml:min</mml:mi>mml:mo≥</mml:mo>mml:mn1</mml:mn></mml:math></jats:alternatives></jats:inline-formula>.</jats:p>jats:pWe establish the same result for a more general class of cuspidal Hecke eigenforms, including all those associated to semistable elliptic curves overjats:inline-formulajats:alternativesjats:tex-math$Q$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">mml:miQ</mml:mi></mml:math></jats:alternatives></jats:inline-formula>.</jats:p>