LMFDB - Artin representation search results

Refine search

Dimension	Conductor	Group	Root number	Parity

Smallest permutation	Ramified	Unramified primes	Ramified prime count	Frobenius-Schur

Projective image	Projective image type

		Sort order	Select

Results (1-50 of 647 matches)

Next Download displayed columns for results to

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
15.496...096.42t411.a.a	$15$	$ 2^{44} \cdot 3^{24}$	$2$	7.1.13436928.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.141...664.42t411.a.a	$15$	$ 2^{36} \cdot 3^{30}$	$2$	7.1.90699264.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.198...384.42t411.a.a	$15$	$ 2^{46} \cdot 3^{24}$	$2$	7.1.161243136.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.565...656.42t411.a.a	$15$	$ 2^{38} \cdot 3^{30}$	$2$	7.1.60466176.2	$S_7$	$S_7$	$S_7$	$1$	$3$
15.226...624.42t411.a.a	$15$	$ 2^{40} \cdot 3^{30}$	$2$	7.1.1451188224.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.905...496.42t411.a.a	$15$	$ 2^{42} \cdot 3^{30}$	$2$	7.1.241864704.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.362...984.42t411.a.a	$15$	$ 2^{44} \cdot 3^{30}$	$2$	7.1.725594112.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.144...936.42t411.a.a	$15$	$ 2^{46} \cdot 3^{30}$	$2$	7.1.60466176.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.144...936.42t411.b.a	$15$	$ 2^{46} \cdot 3^{30}$	$2$	7.1.241864704.2	$S_7$	$S_7$	$S_7$	$1$	$3$
15.579...744.42t411.a.a	$15$	$ 2^{48} \cdot 3^{30}$	$2$	7.1.90699264.2	$S_7$	$S_7$	$S_7$	$1$	$3$
15.264...529.42t411.a.a	$15$	$ 23^{10} \cdot 709^{8}$	$2$	7.5.11561663.1	$S_7$	$S_7$	$S_7$	$1$	$-5$
15.440...689.42t411.a.a	$15$	$ 7^{10} \cdot 29^{8} \cdot 89^{10}$	$3$	7.1.523943.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.254...289.42t411.a.a	$15$	$ 53^{8} \cdot 577^{10}$	$2$	7.3.1620793.1	$S_7$	$S_7$	$S_7$	$1$	$-1$
15.561...841.42t411.a.a	$15$	$ 191^{10} \cdot 233^{8}$	$2$	7.5.10369199.1	$S_7$	$S_7$	$S_7$	$1$	$-5$
15.179...121.42t411.a.a	$15$	$ 13^{8} \cdot 17^{10} \cdot 127^{10}$	$3$	7.1.364871.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.610...481.42t411.a.a	$15$	$ 11^{8} \cdot 3511^{10}$	$2$	7.1.424831.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.722...569.42t411.a.a	$15$	$ 23^{8} \cdot 3137^{10}$	$2$	7.3.1659473.1	$S_7$	$S_7$	$S_7$	$1$	$-1$
15.145...929.42t411.a.a	$15$	$ 3^{16} \cdot 7127^{10}$	$2$	7.1.577287.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.162...529.42t411.a.a	$15$	$ 3^{16} \cdot 7207^{10}$	$2$	7.1.583767.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.190...801.42t411.a.a	$15$	$ 7^{8} \cdot 8951^{10}$	$2$	7.1.438599.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.280...384.42t411.a.a	$15$	$ 2^{24} \cdot 8363^{10}$	$2$	7.1.535232.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.475...625.42t411.a.a	$15$	$ 5^{8} \cdot 37^{10} \cdot 347^{10}$	$3$	7.1.320975.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.141...449.42t411.a.a	$15$	$ 7^{8} \cdot 31^{10} \cdot 353^{10}$	$3$	7.1.536207.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.351...529.42t411.a.a	$15$	$ 13^{8} \cdot 29^{10} \cdot 317^{10}$	$3$	7.3.1553617.1	$S_7$	$S_7$	$S_7$	$1$	$-1$
15.462...721.42t411.a.a	$15$	$ 11^{10} \cdot 13^{8} \cdot 859^{10}$	$3$	7.3.1596881.1	$S_7$	$S_7$	$S_7$	$1$	$-1$
15.423...161.42t411.a.a	$15$	$ 3^{10} \cdot 53^{8} \cdot 1277^{10}$	$3$	7.5.10761279.1	$S_7$	$S_7$	$S_7$	$1$	$-5$
15.634...569.42t411.a.a	$15$	$ 11^{8} \cdot 14033^{10}$	$2$	7.3.1697993.1	$S_7$	$S_7$	$S_7$	$1$	$-1$
15.468...801.42t411.a.a	$15$	$ 7^{8} \cdot 73^{10} \cdot 337^{10}$	$3$	7.3.1205449.1	$S_7$	$S_7$	$S_7$	$1$	$-1$
15.836...561.42t411.a.a	$15$	$ 3^{18} \cdot 17117^{10}$	$2$	7.1.462159.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.219...241.42t411.a.a	$15$	$ 7^{10} \cdot 17^{8} \cdot 2017^{10}$	$3$	7.5.4080391.1	$S_7$	$S_7$	$S_7$	$1$	$-5$
15.300...649.42t411.a.a	$15$	$ 7^{8} \cdot 29633^{10}$	$2$	7.3.1452017.1	$S_7$	$S_7$	$S_7$	$1$	$-1$
15.459...249.42t411.a.a	$15$	$ 184607^{10}$	$1$	7.1.184607.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.729...649.42t411.a.a	$15$	$ 193327^{10}$	$1$	7.1.193327.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.739...249.42t411.a.a	$15$	$ 193607^{10}$	$1$	7.1.193607.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.842...649.42t411.a.a	$15$	$ 29^{10} \cdot 6763^{10}$	$2$	7.1.196127.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.100...401.42t411.a.a	$15$	$ 199559^{10}$	$1$	7.1.199559.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.111...201.42t411.a.a	$15$	$ 17^{10} \cdot 11863^{10}$	$2$	7.1.201671.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.115...201.42t411.a.a	$15$	$ 202471^{10}$	$1$	7.1.202471.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.150...601.42t411.a.a	$15$	$ 11^{10} \cdot 41^{10} \cdot 461^{10}$	$3$	7.1.207911.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.181...801.42t411.a.a	$15$	$ 19^{10} \cdot 11149^{10}$	$2$	7.1.211831.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.184...489.42t411.a.a	$15$	$ 3^{8} \cdot 37^{10} \cdot 2381^{10}$	$3$	7.3.792873.1	$S_7$	$S_7$	$S_7$	$1$	$-1$
15.207...249.42t411.a.a	$15$	$ 214607^{10}$	$1$	7.1.214607.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.327...049.42t411.a.a	$15$	$ 277^{10} \cdot 811^{10}$	$2$	7.1.224647.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.367...849.42t411.a.a	$15$	$ 167^{10} \cdot 1361^{10}$	$2$	7.1.227287.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.577...001.42t411.a.a	$15$	$ 23^{10} \cdot 10337^{10}$	$2$	7.1.237751.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.693...049.42t411.a.a	$15$	$ 242147^{10}$	$1$	7.1.242147.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.717...201.42t411.a.a	$15$	$ 242971^{10}$	$1$	7.1.242971.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.967...449.42t411.a.a	$15$	$ 13^{10} \cdot 19259^{10}$	$2$	7.1.250367.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.103...201.42t411.a.a	$15$	$ 83^{10} \cdot 3037^{10}$	$2$	7.1.252071.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.123...625.42t411.a.a	$15$	$ 5^{10} \cdot 19^{8} \cdot 31^{10} \cdot 157^{10}$	$4$	7.5.8784935.1	$S_7$	$S_7$	$S_7$	$1$	$-5$

Next Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 647 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.