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 2782 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	$\chi(c)$
9.253...104.18t273.a.a	$9$	$ 2^{16} \cdot 3^{18}$	$2$	8.2.11609505792.8	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.306...449.18t273.a.a	$9$	$ 3^{10} \cdot 151^{4}$	$2$	8.0.7529733837.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-3$
9.315...984.18t273.a.a	$9$	$ 2^{12} \cdot 3^{10} \cdot 19^{4}$	$3$	8.0.3840162048.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-3$
9.386...000.18t273.a.a	$9$	$ 2^{20} \cdot 3^{10} \cdot 5^{4}$	$3$	8.2.3583180800.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.604...000.18t273.a.a	$9$	$ 2^{16} \cdot 3^{10} \cdot 5^{6}$	$3$	8.0.34992000000.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-3$
9.634...376.18t273.a.a	$9$	$ 2^{30} \cdot 3^{10}$	$2$	8.4.9172942848.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.634...376.18t273.b.a	$9$	$ 2^{30} \cdot 3^{10}$	$2$	8.4.587068342272.2	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.751...496.18t273.a.a	$9$	$ 2^{28} \cdot 23^{4}$	$2$	8.4.25516048384.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.101...416.18t273.a.a	$9$	$ 2^{18} \cdot 3^{18}$	$2$	8.0.45349632.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-3$
9.101...416.18t273.b.a	$9$	$ 2^{18} \cdot 3^{18}$	$2$	8.2.46438023168.3	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.110...104.18t273.a.a	$9$	$ 2^{16} \cdot 3^{10} \cdot 13^{4}$	$3$	8.2.19680620544.4	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.142...096.18t273.a.a	$9$	$ 2^{28} \cdot 3^{12}$	$2$	8.2.3057647616.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.142...096.18t273.b.a	$9$	$ 2^{28} \cdot 3^{12}$	$2$	8.2.13759414272.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.142...096.18t273.c.a	$9$	$ 2^{28} \cdot 3^{12}$	$2$	8.2.1528823808.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.177...816.18t273.a.a	$9$	$ 2^{6} \cdot 3^{10} \cdot 19^{6}$	$3$	8.2.411557366988.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.180...000.18t273.a.a	$9$	$ 2^{12} \cdot 5^{6} \cdot 41^{4}$	$3$	8.4.11027360000.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.214...000.18t273.a.a	$9$	$ 2^{6} \cdot 5^{6} \cdot 11^{8}$	$3$	8.2.8052550000.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.253...504.18t273.a.a	$9$	$ 2^{32} \cdot 3^{10}$	$2$	8.4.4586471424.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.253...504.18t273.b.a	$9$	$ 2^{32} \cdot 3^{10}$	$2$	8.4.293534171136.7	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.276...601.18t273.a.a	$9$	$ 3^{8} \cdot 59^{6}$	$2$	8.0.173726604657.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-3$
9.291...384.18t273.a.a	$9$	$ 2^{10} \cdot 3^{10} \cdot 13^{6}$	$3$	8.2.23097394944.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.291...384.18t273.b.a	$9$	$ 2^{10} \cdot 3^{10} \cdot 13^{6}$	$3$	8.2.23097394944.2	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.304...824.18t273.a.a	$9$	$ 2^{8} \cdot 3^{10} \cdot 67^{4}$	$3$	8.0.10524298896.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-3$
9.339...000.18t273.a.a	$9$	$ 2^{28} \cdot 3^{4} \cdot 5^{6}$	$3$	8.2.23592960000.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.406...664.18t273.a.a	$9$	$ 2^{20} \cdot 3^{18}$	$2$	8.2.11609505792.7	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.428...944.18t273.a.a	$9$	$ 2^{12} \cdot 3^{10} \cdot 11^{6}$	$3$	8.0.160298569728.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-3$
9.455...336.18t273.a.a	$9$	$ 2^{16} \cdot 3^{10} \cdot 7^{6}$	$3$	8.2.344128684032.10	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.455...336.18t273.b.a	$9$	$ 2^{16} \cdot 3^{10} \cdot 7^{6}$	$3$	8.0.768144384.3	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-3$
9.455...336.18t273.c.a	$9$	$ 2^{16} \cdot 3^{10} \cdot 7^{6}$	$3$	8.2.37639074816.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.469...024.18t273.a.a	$9$	$ 2^{28} \cdot 3^{6} \cdot 7^{4}$	$3$	8.0.2774532096.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-3$
9.469...024.18t273.b.a	$9$	$ 2^{28} \cdot 3^{6} \cdot 7^{4}$	$3$	8.4.49941577728.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.469...024.18t273.c.a	$9$	$ 2^{28} \cdot 3^{6} \cdot 7^{4}$	$3$	8.2.8323596288.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.475...816.18t273.a.a	$9$	$ 2^{28} \cdot 11^{6}$	$2$	8.2.30704402432.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.529...584.18t273.a.a	$9$	$ 2^{26} \cdot 53^{4}$	$2$	8.0.19513606144.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-3$
9.544...000.18t273.a.a	$9$	$ 2^{16} \cdot 3^{12} \cdot 5^{6}$	$3$	8.0.5971968000.4	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-3$
9.544...000.18t273.b.a	$9$	$ 2^{16} \cdot 3^{12} \cdot 5^{6}$	$3$	8.2.20995200000.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.570...384.18t273.a.a	$9$	$ 2^{30} \cdot 3^{12}$	$2$	8.2.3057647616.2	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.570...384.18t273.b.a	$9$	$ 2^{30} \cdot 3^{12}$	$2$	8.2.195689447424.2	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.570...384.18t273.c.a	$9$	$ 2^{30} \cdot 3^{12}$	$2$	8.2.764411904.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.570...384.18t273.d.a	$9$	$ 2^{30} \cdot 3^{12}$	$2$	8.0.97844723712.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-3$
9.588...625.18t273.a.a	$9$	$ 3^{12} \cdot 5^{4} \cdot 11^{6}$	$3$	8.2.26416390275.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.594...296.18t273.a.a	$9$	$ 2^{22} \cdot 3^{10} \cdot 7^{4}$	$3$	8.2.32774160384.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.619...000.18t273.a.a	$9$	$ 2^{24} \cdot 3^{10} \cdot 5^{4}$	$3$	8.2.917294284800.2	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.714...625.18t273.a.a	$9$	$ 3^{6} \cdot 5^{6} \cdot 89^{4}$	$3$	8.4.321201500625.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.764...000.18t273.a.a	$9$	$ 2^{26} \cdot 3^{6} \cdot 5^{6}$	$3$	8.0.2388787200.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-3$
9.764...000.18t273.b.a	$9$	$ 2^{26} \cdot 3^{6} \cdot 5^{6}$	$3$	8.2.119439360000.2	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.774...625.18t273.a.a	$9$	$ 5^{8} \cdot 211^{4}$	$2$	8.6.146780171875.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-3$
9.786...049.18t273.a.a	$9$	$ 13^{6} \cdot 113^{4}$	$2$	8.4.6964588225673.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$1$
9.826...904.18t273.a.a	$9$	$ 2^{12} \cdot 3^{10} \cdot 43^{4}$	$3$	8.0.712219889664.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-3$
9.959...000.18t273.a.a	$9$	$ 2^{22} \cdot 5^{6} \cdot 11^{4}$	$3$	8.0.545177600000.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-3$

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 2782 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.