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

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Results (1-50 of 92 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	$\chi(c)$
4.100352.6t10.b.a	$4$	$ 2^{11} \cdot 7^{2}$	$2$	6.2.802816.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.105125.6t10.a.a	$4$	$ 5^{3} \cdot 29^{2}$	$2$	6.2.525625.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.120125.6t10.a.a	$4$	$ 5^{3} \cdot 31^{2}$	$2$	6.2.600625.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.177957.6t10.b.a	$4$	$ 3^{4} \cdot 13^{3}$	$2$	6.2.2313441.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.435125.6t10.a.a	$4$	$ 5^{3} \cdot 59^{2}$	$2$	6.2.2175625.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.465125.6t10.a.a	$4$	$ 5^{3} \cdot 61^{2}$	$2$	6.2.2325625.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.609725.6t10.b.a	$4$	$ 5^{2} \cdot 29^{3}$	$2$	6.2.17682025.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.634933.6t10.b.a	$4$	$ 13^{3} \cdot 17^{2}$	$2$	6.2.8254129.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.820125.6t10.a.a	$4$	$ 3^{8} \cdot 5^{3}$	$2$	6.2.4100625.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.820125.6t10.b.a	$4$	$ 3^{8} \cdot 5^{3}$	$2$	6.2.4100625.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.962948.6t10.a.a	$4$	$ 2^{2} \cdot 7^{2} \cdot 17^{3}$	$3$	6.2.16370116.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.968000.6t10.a.a	$4$	$ 2^{6} \cdot 5^{3} \cdot 11^{2}$	$3$	6.2.4840000.2	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.990125.6t10.a.a	$4$	$ 5^{3} \cdot 89^{2}$	$2$	6.2.4950625.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.1162213.6t10.b.a	$4$	$ 13^{3} \cdot 23^{2}$	$2$	6.2.15108769.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.1195061.6t10.a.a	$4$	$ 7^{2} \cdot 29^{3}$	$2$	6.2.34656769.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.1458000.6t10.a.a	$4$	$ 2^{4} \cdot 3^{6} \cdot 5^{3}$	$3$	6.2.7290000.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.1458000.6t10.b.a	$4$	$ 2^{4} \cdot 3^{6} \cdot 5^{3}$	$3$	6.2.7290000.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.1492992.6t10.a.a	$4$	$ 2^{11} \cdot 3^{6}$	$2$	6.2.11943936.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.1492992.6t10.b.a	$4$	$ 2^{11} \cdot 3^{6}$	$2$	6.2.11943936.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.2312000.6t10.a.a	$4$	$ 2^{6} \cdot 5^{3} \cdot 17^{2}$	$3$	6.2.11560000.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.2312000.6t10.b.a	$4$	$ 2^{6} \cdot 5^{3} \cdot 17^{2}$	$3$	6.2.11560000.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.2481997.6t10.a.a	$4$	$ 7^{2} \cdot 37^{3}$	$2$	6.2.91833889.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.2485125.6t10.a.a	$4$	$ 3^{2} \cdot 5^{3} \cdot 47^{2}$	$3$	6.2.12425625.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.2485125.6t10.b.a	$4$	$ 3^{2} \cdot 5^{3} \cdot 47^{2}$	$3$	6.2.12425625.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.2556125.6t10.b.a	$4$	$ 5^{3} \cdot 11^{2} \cdot 13^{2}$	$3$	6.2.12780625.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.2775125.6t10.a.a	$4$	$ 5^{3} \cdot 149^{2}$	$2$	6.2.13875625.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.2847312.6t10.a.a	$4$	$ 2^{4} \cdot 3^{4} \cdot 13^{3}$	$3$	6.2.37015056.2	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.2850125.6t10.b.a	$4$	$ 5^{3} \cdot 151^{2}$	$2$	6.2.14250625.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.2888000.6t10.b.a	$4$	$ 2^{6} \cdot 5^{3} \cdot 19^{2}$	$3$	6.2.14440000.2	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.3115008.6t10.a.a	$4$	$ 2^{11} \cdot 3^{2} \cdot 13^{2}$	$3$	6.2.24920064.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.3115008.6t10.b.a	$4$	$ 2^{11} \cdot 3^{2} \cdot 13^{2}$	$3$	6.2.24920064.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.3307949.6t10.a.a	$4$	$ 149^{3}$	$1$	6.2.492884401.2	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.3307949.6t10.b.a	$4$	$ 149^{3}$	$1$	6.2.492884401.2	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.3581577.6t10.a.a	$4$	$ 3^{6} \cdot 17^{3}$	$2$	6.2.60886809.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.3581577.6t10.b.a	$4$	$ 3^{6} \cdot 17^{3}$	$2$	6.2.60886809.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.3698000.6t10.a.a	$4$	$ 2^{4} \cdot 5^{3} \cdot 43^{2}$	$3$	6.2.18490000.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.3698000.6t10.b.a	$4$	$ 2^{4} \cdot 5^{3} \cdot 43^{2}$	$3$	6.2.18490000.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.3851792.6t10.a.a	$4$	$ 2^{4} \cdot 7^{2} \cdot 17^{3}$	$3$	6.2.16370116.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.4232000.6t10.a.a	$4$	$ 2^{6} \cdot 5^{3} \cdot 23^{2}$	$3$	6.2.21160000.3	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.4232000.6t10.b.a	$4$	$ 2^{6} \cdot 5^{3} \cdot 23^{2}$	$3$	6.2.21160000.3	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.4421700.6t10.a.a	$4$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{3}$	$4$	6.2.75168900.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.4465125.6t10.a.a	$4$	$ 3^{6} \cdot 5^{3} \cdot 7^{2}$	$3$	6.2.22325625.3	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.4465125.6t10.b.a	$4$	$ 3^{6} \cdot 5^{3} \cdot 7^{2}$	$3$	6.2.22325625.3	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.4917248.6t10.b.a	$4$	$ 2^{11} \cdot 7^{4}$	$2$	6.2.802816.1	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.6195200.6t10.a.a	$4$	$ 2^{11} \cdot 5^{2} \cdot 11^{2}$	$3$	6.2.49561600.2	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.6195200.6t10.b.a	$4$	$ 2^{11} \cdot 5^{2} \cdot 11^{2}$	$3$	6.2.49561600.2	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.7048421.6t10.a.a	$4$	$ 17^{2} \cdot 29^{3}$	$2$	6.2.204404209.2	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.7048421.6t10.b.a	$4$	$ 17^{2} \cdot 29^{3}$	$2$	6.2.204404209.2	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.9316125.6t10.a.a	$4$	$ 3^{2} \cdot 5^{3} \cdot 7^{2} \cdot 13^{2}$	$4$	6.2.46580625.2	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$
4.9316125.6t10.b.a	$4$	$ 3^{2} \cdot 5^{3} \cdot 7^{2} \cdot 13^{2}$	$4$	6.2.46580625.2	$C_3^2:C_4$	$C_3^2:C_4$	$C_3^2:C_4$	$1$	$0$

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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.