LMFDB - Artin representation search results

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Dimension	Conductor	Group	Root number	Parity

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Results (1-50 of 430 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	$\chi(c)$
7.1817487424.8t36.a.a	$7$	$ 2^{6} \cdot 73^{4}$	$2$	8.0.1817487424.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.9597924961.8t36.a.a	$7$	$ 313^{4}$	$1$	8.0.9597924961.2	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.9597924961.8t36.b.a	$7$	$ 313^{4}$	$1$	8.0.9597924961.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.18078415936.8t36.a.a	$7$	$ 2^{6} \cdot 7^{10}$	$2$	8.0.18078415936.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.29079798784.8t36.a.a	$7$	$ 2^{10} \cdot 73^{4}$	$2$	8.0.29079798784.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.72313663744.8t36.a.a	$7$	$ 2^{8} \cdot 7^{10}$	$2$	8.0.72313663744.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.100367308864.8t36.a.a	$7$	$ 2^{6} \cdot 199^{4}$	$2$	8.0.100367308864.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.116319195136.8t36.a.a	$7$	$ 2^{12} \cdot 73^{4}$	$2$	8.0.116319195136.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.116319195136.8t36.b.a	$7$	$ 2^{12} \cdot 73^{4}$	$2$	8.0.116319195136.3	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.126548911552.24t283.a.a 7.126548911552.24t283.a.b	$7$	$ 2^{6} \cdot 7^{11}$	$2$	8.0.18078415936.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$F_8:C_3$	$0$	$-1$
7.132676581952.24t283.a.a 7.132676581952.24t283.a.b	$7$	$ 2^{6} \cdot 73^{5}$	$2$	8.0.1817487424.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$F_8:C_3$	$0$	$-1$
7.272225149504.8t36.a.a	$7$	$ 2^{6} \cdot 7^{4} \cdot 11^{6}$	$3$	8.0.272225149504.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.272225149504.8t36.b.a	$7$	$ 2^{6} \cdot 7^{4} \cdot 11^{6}$	$3$	8.0.272225149504.2	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.387790161984.8t36.a.a	$7$	$ 2^{6} \cdot 3^{8} \cdot 31^{4}$	$3$	8.0.387790161984.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.401469235456.8t36.a.a	$7$	$ 2^{8} \cdot 199^{4}$	$2$	8.0.401469235456.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.401469235456.8t36.b.a	$7$	$ 2^{8} \cdot 199^{4}$	$2$	8.0.401469235456.2	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.506195646208.24t283.a.a 7.506195646208.24t283.a.b	$7$	$ 2^{8} \cdot 7^{11}$	$2$	8.0.72313663744.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$F_8:C_3$	$0$	$-1$
7.525346636864.8t36.a.a	$7$	$ 2^{6} \cdot 7^{4} \cdot 43^{4}$	$3$	8.0.525346636864.3	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.525346636864.8t36.b.a	$7$	$ 2^{6} \cdot 7^{4} \cdot 43^{4}$	$3$	8.0.525346636864.4	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.525346636864.8t36.c.a	$7$	$ 2^{6} \cdot 7^{4} \cdot 43^{4}$	$3$	8.0.525346636864.5	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.591559418641.8t36.a.a	$7$	$ 877^{4}$	$1$	8.0.591559418641.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.591559418641.8t36.b.a	$7$	$ 877^{4}$	$1$	8.0.591559418641.2	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.777431921841.8t36.a.a	$7$	$ 3^{4} \cdot 313^{4}$	$2$	8.0.777431921841.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.777431921841.8t36.b.a	$7$	$ 3^{4} \cdot 313^{4}$	$2$	8.0.777431921841.2	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.113...000.8t36.a.a	$7$	$ 2^{6} \cdot 5^{4} \cdot 73^{4}$	$3$	8.0.1135929640000.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.115...904.8t36.a.a	$7$	$ 2^{12} \cdot 7^{10}$	$2$	8.0.1157018619904.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.115...904.8t36.b.a	$7$	$ 2^{12} \cdot 7^{10}$	$2$	8.0.1157018619904.2	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.146...816.8t36.a.a	$7$	$ 2^{6} \cdot 3^{4} \cdot 7^{10}$	$3$	8.0.1464351690816.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.160...824.8t36.a.a	$7$	$ 2^{10} \cdot 199^{4}$	$2$	8.0.1605876941824.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.162...881.8t36.a.a	$7$	$ 1129^{4}$	$1$	8.0.1624709678881.2	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.168...984.8t36.a.a	$7$	$ 2^{6} \cdot 13^{4} \cdot 31^{4}$	$3$	8.0.1688107729984.6	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.168...984.8t36.b.a	$7$	$ 2^{6} \cdot 13^{4} \cdot 31^{4}$	$3$	8.0.1688107729984.5	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.186...176.8t36.a.a	$7$	$ 2^{16} \cdot 73^{4}$	$2$	8.0.1861107122176.20	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.186...176.8t36.b.a	$7$	$ 2^{16} \cdot 73^{4}$	$2$	8.0.1861107122176.22	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.190...528.24t283.a.a 7.190...528.24t283.a.b	$7$	$ 2^{6} \cdot 7^{5} \cdot 11^{6}$	$3$	8.0.272225149504.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$F_8:C_3$	$0$	$-1$
7.190...528.24t283.b.a 7.190...528.24t283.b.b	$7$	$ 2^{6} \cdot 7^{5} \cdot 11^{6}$	$3$	8.0.272225149504.2	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$F_8:C_3$	$0$	$-1$
7.210...456.8t36.a.a	$7$	$ 2^{8} \cdot 7^{4} \cdot 43^{4}$	$3$	8.0.2101386547456.12	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.212...232.24t283.a.a 7.212...232.24t283.a.b	$7$	$ 2^{10} \cdot 73^{5}$	$2$	8.0.29079798784.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$F_8:C_3$	$0$	$-1$
7.242...104.8t36.a.a	$7$	$ 2^{6} \cdot 3^{8} \cdot 7^{8}$	$3$	8.0.2420662999104.2	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.252...641.8t36.a.a	$7$	$ 13^{4} \cdot 97^{4}$	$2$	8.0.2528484794641.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.252...641.8t36.b.a	$7$	$ 13^{4} \cdot 97^{4}$	$2$	8.0.2528484794641.2	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.252...641.8t36.c.a	$7$	$ 13^{4} \cdot 97^{4}$	$2$	8.0.2528484794641.3	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.252...641.8t36.d.a	$7$	$ 13^{4} \cdot 97^{4}$	$2$	8.0.2528484794641.4	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.300...793.24t283.a.a 7.300...793.24t283.a.b	$7$	$ 313^{5}$	$1$	8.0.9597924961.2	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$F_8:C_3$	$0$	$-1$
7.300...793.24t283.b.a 7.300...793.24t283.b.b	$7$	$ 313^{5}$	$1$	8.0.9597924961.1	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$F_8:C_3$	$0$	$-1$
7.349...856.8t36.a.a	$7$	$ 2^{6} \cdot 3^{10} \cdot 31^{4}$	$3$	8.0.3490111457856.2	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.349...856.8t36.b.a	$7$	$ 2^{6} \cdot 3^{10} \cdot 31^{4}$	$3$	8.0.3490111457856.5	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.349...856.8t36.c.a	$7$	$ 2^{6} \cdot 3^{10} \cdot 31^{4}$	$3$	8.0.3490111457856.4	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.435...064.8t36.a.a	$7$	$ 2^{10} \cdot 7^{4} \cdot 11^{6}$	$3$	8.0.4355602392064.2	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$
7.435...064.8t36.b.a	$7$	$ 2^{10} \cdot 7^{4} \cdot 11^{6}$	$3$	8.0.4355602392064.4	$C_2^3:(C_7: C_3)$	$F_8:C_3$	$C_2^3:(C_7: C_3)$	$1$	$-1$

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Elliptic curves over $\Q$
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Genus 2 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.