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 809 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	$\chi(c)$
6.47258883.9t11.a.a	$6$	$ 3^{9} \cdot 7^{4}$	$2$	9.1.62523502209.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.129140163.9t11.a.a	$6$	$ 3^{17}$	$1$	9.1.31381059609.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.153664000.9t11.a.a	$6$	$ 2^{9} \cdot 5^{3} \cdot 7^{4}$	$3$	9.1.301181440000.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.225194688.9t11.a.a	$6$	$ 2^{6} \cdot 3^{3} \cdot 19^{4}$	$3$	9.1.243885847104.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.272097792.9t11.a.a	$6$	$ 2^{9} \cdot 3^{12}$	$2$	9.1.176319369216.3	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.281302875.9t11.a.a	$6$	$ 3^{8} \cdot 5^{3} \cdot 7^{3}$	$3$	9.1.797493650625.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.306110016.9t11.a.a	$6$	$ 2^{6} \cdot 3^{14}$	$2$	9.1.99179645184.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.398961072.9t11.a.a	$6$	$ 2^{4} \cdot 3^{3} \cdot 31^{4}$	$3$	9.1.4600819082304.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.399466375.9t11.a.a	$6$	$ 5^{3} \cdot 7^{4} \cdot 11^{3}$	$3$	9.1.1076561880625.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.481966875.9t11.a.a	$6$	$ 3^{3} \cdot 5^{4} \cdot 13^{4}$	$3$	9.1.6108930140625.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.562166163.9t11.a.a	$6$	$ 3^{9} \cdot 13^{4}$	$2$	9.1.2565164201769.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.642837223.9t11.a.a	$6$	$ 7^{3} \cdot 37^{4}$	$2$	9.1.6160309108009.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.681182703.9t11.a.a	$6$	$ 3^{8} \cdot 47^{3}$	$2$	9.1.2593262550321.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.707347971.9t11.a.a	$6$	$ 3^{12} \cdot 11^{3}$	$2$	9.1.630247042161.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.754951232.9t11.a.a	$6$	$ 2^{6} \cdot 7^{4} \cdot 17^{3}$	$3$	9.1.2515497505024.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.756142128.9t11.a.a	$6$	$ 2^{4} \cdot 3^{9} \cdot 7^{4}$	$3$	9.1.444611571264.2	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.1152216576.9t11.a.a	$6$	$ 2^{9} \cdot 3^{8} \cdot 7^{3}$	$3$	9.1.5226454388736.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.1476922032.9t11.a.a	$6$	$ 2^{4} \cdot 3^{3} \cdot 43^{4}$	$3$	9.1.32769946046016.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.1640558367.9t11.a.a	$6$	$ 3^{14} \cdot 7^{3}$	$2$	9.1.930196594089.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.1643943843.9t11.a.a	$6$	$ 3^{9} \cdot 17^{4}$	$2$	9.1.1425299311881.3	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.1793613375.9t11.a.a	$6$	$ 3^{15} \cdot 5^{3}$	$2$	9.1.242137805625.2	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.1851523947.9t11.a.a	$6$	$ 3^{3} \cdot 7^{4} \cdot 13^{4}$	$3$	9.1.45997409415321.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.2352135088.9t11.a.a	$6$	$ 2^{4} \cdot 43^{5}$	$2$	9.1.404567235136.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.2565108243.9t11.a.a	$6$	$ 3^{9} \cdot 19^{4}$	$2$	9.1.2778012227169.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.2565108243.9t11.b.a	$6$	$ 3^{9} \cdot 19^{4}$	$2$	9.1.2778012227169.2	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.3024568512.9t11.a.a	$6$	$ 2^{6} \cdot 3^{9} \cdot 7^{4}$	$3$	9.1.4001504141376.2	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.3024568512.9t11.b.a	$6$	$ 2^{6} \cdot 3^{9} \cdot 7^{4}$	$3$	9.1.4001504141376.5	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.3116883375.9t11.a.a	$6$	$ 3^{3} \cdot 5^{3} \cdot 31^{4}$	$3$	9.1.44929873850625.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.3238550208.9t11.a.a	$6$	$ 2^{6} \cdot 3^{3} \cdot 37^{4}$	$3$	9.1.13300725704256.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.3283682031.9t11.a.a	$6$	$ 3^{3} \cdot 7^{4} \cdot 37^{3}$	$3$	9.1.17859946566609.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.3788645211.9t11.a.a	$6$	$ 3^{3} \cdot 13^{4} \cdot 17^{3}$	$3$	9.1.32654333073609.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.4251528000.9t11.a.a	$6$	$ 2^{6} \cdot 3^{12} \cdot 5^{3}$	$3$	9.1.6887475360000.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.4320438183.9t11.a.a	$6$	$ 3^{11} \cdot 29^{3}$	$2$	9.1.375878121921.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.4388797504.9t11.a.a	$6$	$ 2^{6} \cdot 7^{4} \cdot 13^{4}$	$3$	9.1.2966827112704.2	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.5522223168.9t11.a.a	$6$	$ 2^{6} \cdot 3^{3} \cdot 7^{4} \cdot 11^{3}$	$4$	9.1.35717739450624.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.5665873984.9t11.a.a	$6$	$ 2^{6} \cdot 97^{4}$	$2$	9.1.213240833261824.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.5907360375.9t11.a.a	$6$	$ 3^{9} \cdot 5^{3} \cdot 7^{4}$	$3$	9.1.797493650625.2	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.5945113699.9t11.a.a	$6$	$ 7^{4} \cdot 19^{5}$	$2$	9.1.5534900853769.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.6122764375.9t11.a.a	$6$	$ 5^{4} \cdot 7^{3} \cdot 13^{4}$	$3$	9.1.1071483765625.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.6466042647.9t11.a.a	$6$	$ 3^{12} \cdot 23^{3}$	$2$	9.1.148718980881.4	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.6805279152.9t11.a.a	$6$	$ 2^{4} \cdot 3^{11} \cdot 7^{4}$	$3$	9.1.4001504141376.3	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.6805279152.9t11.b.a	$6$	$ 2^{4} \cdot 3^{11} \cdot 7^{4}$	$3$	9.1.4001504141376.4	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.7308160119.9t11.a.a	$6$	$ 3^{9} \cdot 13^{5}$	$2$	9.1.2565164201769.2	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.7346640384.9t11.a.a	$6$	$ 2^{9} \cdot 3^{15}$	$2$	9.1.1586874322944.4	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.8065516032.9t11.a.a	$6$	$ 2^{9} \cdot 3^{8} \cdot 7^{4}$	$3$	9.1.5226454388736.2	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.8264970432.9t11.a.a	$6$	$ 2^{6} \cdot 3^{17}$	$2$	9.1.2008387814976.2	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.8264970432.9t11.b.a	$6$	$ 2^{6} \cdot 3^{17}$	$2$	9.1.2008387814976.4	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.8931928887.9t11.a.a	$6$	$ 3^{12} \cdot 7^{5}$	$2$	9.1.5064403678929.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.8980492352.9t11.a.a	$6$	$ 2^{6} \cdot 13^{4} \cdot 17^{3}$	$3$	9.1.103203818109184.1	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$
6.8985939039.9t11.a.a	$6$	$ 3^{9} \cdot 7^{3} \cdot 11^{3}$	$3$	9.1.2075751918009.2	$C_3^2 : C_6$	$C_3^2:C_6$	$C_3^2 : C_6$	$1$	$0$

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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.