Abstract

Let f be a newform of weight k ≥ 3 with Fourier coefficients in a number field K. We show that the universal deformation ring of the mod λ Galois representation associated to f is unobstructed, and thus isomorphic to a power series ring in three variables over the Witt vectors, for all but finitely many primes λ of K. We give an explicit bound on such λ for the 6 known cusp forms of level 1, trivial character, and rational Fourier coefficients. We also prove a somewhat weaker result for weight 2.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1237-1252
Launched on MUSE
2004-11-30
Open Access
No
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