LMFDB - Artin representation search results

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Dimension	Conductor	Group	Root number	Parity

Smallest permutation	Ramified	Unramified primes	Ramified prime count	Frobenius-Schur

Projective image	Projective image type

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Results (1-50 of 720 matches)

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Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
10.470...321.30t164.a.a	$10$	$ 14731^{4}$	$1$	6.0.14731.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.181...641.30t164.a.a	$10$	$ 20627^{4}$	$1$	6.0.20627.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.246...761.30t164.a.a	$10$	$ 22291^{4}$	$1$	6.0.22291.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.439...081.30t164.a.a	$10$	$ 25747^{4}$	$1$	6.0.25747.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.714...041.30t164.a.a	$10$	$ 29077^{4}$	$1$	6.2.29077.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.950...441.30t164.a.a	$10$	$ 31223^{4}$	$1$	6.0.31223.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.117...241.30t164.a.a	$10$	$ 32911^{4}$	$1$	6.0.32911.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.130...761.30t164.a.a	$10$	$ 33791^{4}$	$1$	6.0.33791.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.151...601.30t164.a.a	$10$	$ 35099^{4}$	$1$	6.0.35099.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.169...601.30t164.a.a	$10$	$ 36107^{4}$	$1$	6.0.36107.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.192...081.30t164.a.a	$10$	$ 37253^{4}$	$1$	6.2.37253.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.196...041.30t164.a.a	$10$	$ 37423^{4}$	$1$	6.0.37423.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.196...161.30t164.a.a	$10$	$ 37463^{4}$	$1$	6.0.37463.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.263...441.30t164.a.a	$10$	$ 40277^{4}$	$1$	6.2.40277.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.270...801.30t164.a.a	$10$	$ 40543^{4}$	$1$	6.0.40543.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.343...961.30t164.a.a	$10$	$ 43063^{4}$	$1$	6.0.43063.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.477...401.30t164.a.a	$10$	$ 46757^{4}$	$1$	6.2.46757.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.494...401.30t164.a.a	$10$	$ 47149^{4}$	$1$	6.2.47149.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.527...121.30t164.a.a	$10$	$ 47933^{4}$	$1$	6.2.47933.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.654...761.30t164.a.a	$10$	$ 50587^{4}$	$1$	6.0.50587.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.723...921.30t164.a.a	$10$	$ 51869^{4}$	$1$	6.2.51869.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.135...521.30t164.a.a	$10$	$ 60719^{4}$	$1$	6.0.60719.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.150...801.30t164.a.a	$10$	$ 62299^{4}$	$1$	6.0.62299.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.194...761.30t164.a.a	$10$	$ 66413^{4}$	$1$	6.2.66413.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.206...681.30t164.a.a	$10$	$ 67429^{4}$	$1$	6.2.67429.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.218...041.30t164.a.a	$10$	$ 68389^{4}$	$1$	6.2.68389.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.304...801.30t164.a.a	$10$	$ 74293^{4}$	$1$	6.2.74293.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.313...201.11t5.a.a	$10$	$ 74843^{4}$	$1$	11.11.31376518243389673201.2	$\PSL(2,11)$	$\PSL(2,11)$	$\PSL(2,11)$	$1$	$10$
10.315...361.30t164.a.a	$10$	$ 74941^{4}$	$1$	6.2.74941.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.375...201.30t164.a.a	$10$	$ 78301^{4}$	$1$	6.2.78301.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.387...601.30t164.a.a	$10$	$ 78901^{4}$	$1$	6.2.78901.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.410...481.30t164.a.a	$10$	$ 80021^{4}$	$1$	6.2.80021.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.464...361.30t164.a.a	$10$	$ 82559^{4}$	$1$	6.0.82559.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.469...801.30t164.a.a	$10$	$ 82793^{4}$	$1$	6.2.82793.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.475...841.30t164.a.a	$10$	$ 83023^{4}$	$1$	6.0.83023.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.485...841.30t164.a.a	$10$	$ 83477^{4}$	$1$	6.2.83477.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.525...721.30t164.a.a	$10$	$ 85133^{4}$	$1$	6.2.85133.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.542...121.30t164.a.a	$10$	$ 85817^{4}$	$1$	6.2.85817.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.549...041.30t164.a.a	$10$	$ 86111^{4}$	$1$	6.0.86111.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.551...081.30t164.a.a	$10$	$ 86171^{4}$	$1$	6.0.86171.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.593...521.30t164.a.a	$10$	$ 87767^{4}$	$1$	6.0.87767.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.637...361.30t164.a.a	$10$	$ 89363^{4}$	$1$	6.0.89363.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.641...001.30t164.a.a	$10$	$ 89501^{4}$	$1$	6.2.89501.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.645...641.30t164.a.a	$10$	$ 89627^{4}$	$1$	6.0.89627.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.646...281.30t164.a.a	$10$	$ 89653^{4}$	$1$	6.2.89653.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.717...201.30t164.a.a	$10$	$ 92051^{4}$	$1$	6.0.92051.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.740...281.30t164.a.a	$10$	$ 92779^{4}$	$1$	6.4.92779.1	$S_6$	$S_6$	$S_6$	$1$	$2$
10.756...081.30t164.a.a	$10$	$ 93253^{4}$	$1$	6.2.93253.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.768...881.30t164.a.a	$10$	$ 93629^{4}$	$1$	6.2.93629.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.784...041.30t164.a.a	$10$	$ 94111^{4}$	$1$	6.0.94111.1	$S_6$	$S_6$	$S_6$	$1$	$-2$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.