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Modularity of an odd icosahedral representation

Arnaud JehanneMichael Müller — 2000

Journal de théorie des nombres de Bordeaux

In this paper, we prove that the representation ρ from G in GL 2 ( ) with image A 5 in PGL 2 ( A 5 ) corresponding to the example 16 in [B-K] is modular. This representation has conductor 5203 and determinant χ - 43 ; its modularity was not yet proved, since this representation does not satisfy the hypothesis of the theorems of [B-D-SB-T] and [Tay2].

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