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 647 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	$\chi(c)$
21.259...144.42t418.a.a	$21$	$ 2^{59} \cdot 3^{37}$	$2$	7.1.161243136.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.277...936.42t418.a.a	$21$	$ 2^{48} \cdot 3^{44}$	$2$	7.1.60466176.2	$S_7$	$S_7$	$S_7$	$1$	$3$
21.438...368.42t418.a.a	$21$	$ 2^{55} \cdot 3^{40}$	$2$	7.1.13436928.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.935...784.42t418.a.a	$21$	$ 2^{45} \cdot 3^{47}$	$2$	7.1.90699264.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.709...616.42t418.a.a	$21$	$ 2^{56} \cdot 3^{44}$	$2$	7.1.60466176.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.159...136.42t418.a.a	$21$	$ 2^{54} \cdot 3^{46}$	$2$	7.1.241864704.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.239...704.42t418.a.a	$21$	$ 2^{53} \cdot 3^{47}$	$2$	7.1.1451188224.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.191...632.42t418.a.a	$21$	$ 2^{56} \cdot 3^{47}$	$2$	7.1.725594112.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.255...176.42t418.a.a	$21$	$ 2^{58} \cdot 3^{46}$	$2$	7.1.241864704.2	$S_7$	$S_7$	$S_7$	$1$	$3$
21.383...264.42t418.a.a	$21$	$ 2^{57} \cdot 3^{47}$	$2$	7.1.90699264.2	$S_7$	$S_7$	$S_7$	$1$	$3$
21.305...727.42t418.a.a	$21$	$ 23^{11} \cdot 709^{10}$	$2$	7.5.11561663.1	$S_7$	$S_7$	$S_7$	$1$	$-1$
21.654...391.42t418.a.a	$21$	$ 13^{10} \cdot 17^{11} \cdot 127^{11}$	$3$	7.1.364871.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.150...088.42t418.a.a	$21$	$ 2^{30} \cdot 8363^{11}$	$2$	7.1.535232.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.761...943.42t418.a.a	$21$	$ 7^{10} \cdot 31^{11} \cdot 353^{11}$	$3$	7.1.536207.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.137...367.42t418.a.a	$21$	$ 7^{11} \cdot 29^{16} \cdot 89^{11}$	$3$	7.1.523943.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.459...871.42t418.a.a	$21$	$ 11^{16} \cdot 3511^{11}$	$2$	7.1.424831.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.107...017.42t418.a.a	$21$	$ 11^{10} \cdot 14033^{11}$	$2$	7.3.1697993.1	$S_7$	$S_7$	$S_7$	$1$	$1$
21.238...375.42t418.a.a	$21$	$ 5^{16} \cdot 37^{11} \cdot 347^{11}$	$3$	7.1.320975.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.564...649.42t418.a.a	$21$	$ 7^{10} \cdot 73^{11} \cdot 337^{11}$	$3$	7.3.1205449.1	$S_7$	$S_7$	$S_7$	$1$	$1$
21.982...551.42t418.a.a	$21$	$ 7^{16} \cdot 8951^{11}$	$2$	7.1.438599.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.437...033.42t418.a.a	$21$	$ 7^{10} \cdot 29633^{11}$	$2$	7.3.1452017.1	$S_7$	$S_7$	$S_7$	$1$	$1$
21.446...743.42t418.a.a	$21$	$ 3^{32} \cdot 7127^{11}$	$2$	7.1.577287.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.504...663.42t418.a.a	$21$	$ 3^{32} \cdot 7207^{11}$	$2$	7.1.583767.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.848...143.42t418.a.a	$21$	$ 184607^{11}$	$1$	7.1.184607.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.896...231.42t418.a.a	$21$	$ 7^{11} \cdot 17^{10} \cdot 2017^{11}$	$3$	7.5.4080391.1	$S_7$	$S_7$	$S_7$	$1$	$-1$
21.914...833.42t418.a.a	$21$	$ 53^{16} \cdot 577^{11}$	$2$	7.3.1620793.1	$S_7$	$S_7$	$S_7$	$1$	$1$
21.140...223.42t418.a.a	$21$	$ 193327^{11}$	$1$	7.1.193327.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.143...143.42t418.a.a	$21$	$ 193607^{11}$	$1$	7.1.193607.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.165...423.42t418.a.a	$21$	$ 29^{11} \cdot 6763^{11}$	$2$	7.1.196127.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.199...159.42t418.a.a	$21$	$ 199559^{11}$	$1$	7.1.199559.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.224...871.42t418.a.a	$21$	$ 17^{11} \cdot 11863^{11}$	$2$	7.1.201671.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.234...671.42t418.a.a	$21$	$ 202471^{11}$	$1$	7.1.202471.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.313...511.42t418.a.a	$21$	$ 11^{11} \cdot 41^{11} \cdot 461^{11}$	$3$	7.1.207911.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.385...631.42t418.a.a	$21$	$ 19^{11} \cdot 11149^{11}$	$2$	7.1.211831.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.444...143.42t418.a.a	$21$	$ 214607^{11}$	$1$	7.1.214607.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.735...703.42t418.a.a	$21$	$ 277^{11} \cdot 811^{11}$	$2$	7.1.224647.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.836...663.42t418.a.a	$21$	$ 167^{11} \cdot 1361^{11}$	$2$	7.1.227287.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.137...751.42t418.a.a	$21$	$ 23^{11} \cdot 10337^{11}$	$2$	7.1.237751.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.146...897.42t418.a.a	$21$	$ 3^{10} \cdot 37^{11} \cdot 2381^{11}$	$3$	7.3.792873.1	$S_7$	$S_7$	$S_7$	$1$	$1$
21.167...203.42t418.a.a	$21$	$ 242147^{11}$	$1$	7.1.242147.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.174...171.42t418.a.a	$21$	$ 242971^{11}$	$1$	7.1.242971.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.242...783.42t418.a.a	$21$	$ 13^{11} \cdot 19259^{11}$	$2$	7.1.250367.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.261...271.42t418.a.a	$21$	$ 83^{11} \cdot 3037^{11}$	$2$	7.1.252071.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.281...071.42t418.a.a	$21$	$ 3^{27} \cdot 17117^{11}$	$2$	7.1.462159.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.397...071.42t418.a.a	$21$	$ 307^{11} \cdot 853^{11}$	$2$	7.1.261871.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.498...003.42t418.a.a	$21$	$ 101^{11} \cdot 2647^{11}$	$2$	7.1.267347.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.569...143.42t418.a.a	$21$	$ 461^{11} \cdot 587^{11}$	$2$	7.1.270607.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.619...871.42t418.a.a	$21$	$ 7^{11} \cdot 38953^{11}$	$2$	7.1.272671.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.940...727.42t418.a.a	$21$	$ 61^{11} \cdot 4643^{11}$	$2$	7.1.283223.1	$S_7$	$S_7$	$S_7$	$1$	$3$
21.107...311.42t418.a.a	$21$	$ 286711^{11}$	$1$	7.1.286711.1	$S_7$	$S_7$	$S_7$	$1$	$3$

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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.