Modularity of an odd icosahedral representation

Arnaud Jehanne; Michael Müller

Journal de théorie des nombres de Bordeaux (2000)

  • Volume: 12, Issue: 2, page 475-482
  • ISSN: 1246-7405

Abstract

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In this paper, we prove that the representation ρ from G ℚ in GL 2 ( ℂ ) 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].

How to cite

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Jehanne, Arnaud, and Müller, Michael. "Modularity of an odd icosahedral representation." Journal de théorie des nombres de Bordeaux 12.2 (2000): 475-482. <http://eudml.org/doc/248491>.

@article{Jehanne2000,
abstract = {In this paper, we prove that the representation $\rho $ from $G_\mathbb \{Q\}$ in GL$_2(\mathbb \{C\})$ 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 $\{\chi _\{-43\}\}$; its modularity was not yet proved, since this representation does not satisfy the hypothesis of the theorems of [B-D-SB-T] and [Tay2].},
author = {Jehanne, Arnaud, Müller, Michael},
journal = {Journal de théorie des nombres de Bordeaux},
language = {eng},
number = {2},
pages = {475-482},
publisher = {Université Bordeaux I},
title = {Modularity of an odd icosahedral representation},
url = {http://eudml.org/doc/248491},
volume = {12},
year = {2000},
}

TY - JOUR
AU - Jehanne, Arnaud
AU - Müller, Michael
TI - Modularity of an odd icosahedral representation
JO - Journal de théorie des nombres de Bordeaux
PY - 2000
PB - Université Bordeaux I
VL - 12
IS - 2
SP - 475
EP - 482
AB - In this paper, we prove that the representation $\rho $ from $G_\mathbb {Q}$ in GL$_2(\mathbb {C})$ 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 ${\chi _{-43}}$; its modularity was not yet proved, since this representation does not satisfy the hypothesis of the theorems of [B-D-SB-T] and [Tay2].
LA - eng
UR - http://eudml.org/doc/248491
ER -

References

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