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arXiv · 2509.00502

Classifications of Hecke Fields and Galois Images of Weight One Exotic Newforms

Ryotaro Sakamoto·Sho Yoshikawa
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Abstract

We determine the Hecke fields associated with weight one newforms of $A_4$-, $S_4$-, and $A_5$-type, expressed in terms of the order of its nebentypus. Furthermore, for each type, we provide a complete classification of the images of the corresponding Galois representations.

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Ryotaro Sakamoto, Sho Yoshikawa. 2025-08-30. Classifications of Hecke Fields and Galois Images of Weight One Exotic Newforms. https://arxiv.org/abs/2509.00502

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