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 506 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	$\chi(c)$
8.647...176.24t333.a.a	$8$	$ 2^{10} \cdot 43^{6}$	$2$	8.4.875213056.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.970...504.24t333.d.a	$8$	$ 2^{16} \cdot 23^{6}$	$2$	8.0.71639296.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.123...864.24t333.e.a	$8$	$ 2^{18} \cdot 19^{6}$	$2$	8.4.8540717056.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.178...496.24t333.d.a	$8$	$ 2^{12} \cdot 257^{4}$	$2$	8.0.4227136.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.180...224.24t333.a.a	$8$	$ 2^{10} \cdot 3^{6} \cdot 17^{6}$	$3$	8.4.15587023104.3	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.180...224.24t333.b.a	$8$	$ 2^{10} \cdot 3^{6} \cdot 17^{6}$	$3$	8.4.15587023104.4	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.234...984.24t333.d.a	$8$	$ 2^{10} \cdot 389^{4}$	$2$	8.0.9684544.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.493...456.24t333.e.a	$8$	$ 2^{20} \cdot 19^{6}$	$2$	8.4.34162868224.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.518...304.24t333.i.a	$8$	$ 2^{10} \cdot 11^{6} \cdot 13^{4}$	$3$	8.4.76644815104.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.518...304.24t333.j.a	$8$	$ 2^{10} \cdot 11^{6} \cdot 13^{4}$	$3$	8.4.76644815104.2	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.553...256.24t333.g.a	$8$	$ 2^{12} \cdot 11^{4} \cdot 31^{4}$	$3$	8.4.476286976.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.553...256.24t333.h.a	$8$	$ 2^{12} \cdot 11^{4} \cdot 31^{4}$	$3$	8.0.476286976.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.680...456.24t333.a.a	$8$	$ 2^{12} \cdot 359^{4}$	$2$	8.0.131974144.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.680...456.24t333.i.a	$8$	$ 2^{12} \cdot 359^{4}$	$2$	8.0.8248384.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.859...424.24t333.i.a	$8$	$ 2^{6} \cdot 13^{4} \cdot 19^{6}$	$3$	8.4.59553569296.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.859...424.24t333.j.a	$8$	$ 2^{6} \cdot 13^{4} \cdot 19^{6}$	$3$	8.4.59553569296.2	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.105...904.24t333.g.a	$8$	$ 2^{10} \cdot 3^{16} \cdot 7^{4}$	$3$	8.4.740710656.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.105...904.24t333.h.a	$8$	$ 2^{10} \cdot 3^{16} \cdot 7^{4}$	$3$	8.0.740710656.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.108...344.24t333.c.a	$8$	$ 2^{10} \cdot 571^{4}$	$2$	8.0.20866624.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.110...944.24t333.a.a	$8$	$ 2^{10} \cdot 3^{6} \cdot 23^{6}$	$3$	8.4.5802782976.2	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.126...000.24t333.a.a	$8$	$ 2^{10} \cdot 5^{6} \cdot 53^{4}$	$3$	8.0.112360000.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.143...616.24t333.a.a	$8$	$ 2^{12} \cdot 433^{4}$	$2$	8.0.11999296.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.143...616.24t333.h.a	$8$	$ 2^{12} \cdot 433^{4}$	$2$	8.4.191988736.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.149...256.24t333.e.a	$8$	$ 2^{12} \cdot 19^{4} \cdot 23^{4}$	$3$	8.4.782209024.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.149...256.24t333.f.a	$8$	$ 2^{12} \cdot 19^{4} \cdot 23^{4}$	$3$	8.0.782209024.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.155...064.24t333.a.a	$8$	$ 2^{20} \cdot 23^{6}$	$2$	8.4.1146228736.2	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.162...376.24t333.b.a	$8$	$ 2^{16} \cdot 223^{4}$	$2$	8.0.203689984.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.162...376.24t333.i.a	$8$	$ 2^{16} \cdot 223^{4}$	$2$	8.0.12730624.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.168...224.24t333.a.a	$8$	$ 2^{16} \cdot 37^{6}$	$2$	8.0.479785216.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.168...224.24t333.k.a	$8$	$ 2^{16} \cdot 37^{6}$	$2$	8.4.1919140864.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.180...816.24t333.a.a	$8$	$ 2^{16} \cdot 229^{4}$	$2$	8.0.13424896.2	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.180...816.24t333.b.a	$8$	$ 2^{16} \cdot 229^{4}$	$2$	8.0.13424896.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.188...000.24t333.i.a	$8$	$ 2^{10} \cdot 5^{4} \cdot 131^{4}$	$3$	8.0.109830400.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.188...000.24t333.j.a	$8$	$ 2^{10} \cdot 5^{4} \cdot 131^{4}$	$3$	8.0.109830400.2	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.194...936.24t333.g.a	$8$	$ 2^{10} \cdot 3^{6} \cdot 127^{4}$	$3$	8.0.334450944.2	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.194...936.24t333.h.a	$8$	$ 2^{10} \cdot 3^{6} \cdot 127^{4}$	$3$	8.0.334450944.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.197...096.24t333.a.a	$8$	$ 2^{12} \cdot 3^{4} \cdot 29^{6}$	$3$	8.0.26073206784.2	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.197...096.24t333.b.a	$8$	$ 2^{12} \cdot 3^{4} \cdot 29^{6}$	$3$	8.0.26073206784.4	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.220...904.24t333.a.a	$8$	$ 2^{10} \cdot 3^{4} \cdot 227^{4}$	$3$	8.4.118722816.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.220...904.24t333.b.a	$8$	$ 2^{10} \cdot 3^{4} \cdot 227^{4}$	$3$	8.0.118722816.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.236...944.24t333.a.a	$8$	$ 2^{10} \cdot 11^{6} \cdot 19^{4}$	$3$	8.4.163720581376.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.236...944.24t333.b.a	$8$	$ 2^{10} \cdot 11^{6} \cdot 19^{4}$	$3$	8.4.163720581376.2	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.237...224.24t333.f.a	$8$	$ 2^{12} \cdot 7^{4} \cdot 17^{6}$	$3$	8.0.4190749696.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.237...224.24t333.l.a	$8$	$ 2^{12} \cdot 7^{4} \cdot 17^{6}$	$3$	8.0.261921856.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.255...224.24t333.i.a	$8$	$ 2^{10} \cdot 7^{4} \cdot 101^{4}$	$3$	8.0.127961344.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.255...224.24t333.j.a	$8$	$ 2^{10} \cdot 7^{4} \cdot 101^{4}$	$3$	8.0.127961344.2	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.258...264.24t333.e.a	$8$	$ 2^{10} \cdot 709^{4}$	$2$	8.0.32171584.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.268...000.24t333.i.a	$8$	$ 2^{34} \cdot 5^{6}$	$2$	8.4.41943040000.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.268...000.24t333.j.a	$8$	$ 2^{34} \cdot 5^{6}$	$2$	8.0.41943040000.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
8.280...809.24t333.e.a	$8$	$ 3^{10} \cdot 41^{6}$	$2$	8.0.2059979769.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$

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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.