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 (43 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	$\chi(c)$
2.675.12t11.a.a 2.675.12t11.a.b	$2$	$ 3^{3} \cdot 5^{2}$	$2$	12.0.1037970703125.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.676.12t11.a.a 2.676.12t11.a.b	$2$	$ 2^{2} \cdot 13^{2}$	$2$	12.0.458793060873472.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.700.12t11.a.a 2.700.12t11.a.b	$2$	$ 2^{2} \cdot 5^{2} \cdot 7 $	$3$	12.0.1200500000000.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.867.12t11.a.a 2.867.12t11.a.b	$2$	$ 3 \cdot 17^{2}$	$2$	12.4.2776023600918273.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.1275.12t11.a.a 2.1275.12t11.a.b	$2$	$ 3 \cdot 5^{2} \cdot 17 $	$3$	12.0.13213283203125.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.1275.12t11.b.a 2.1275.12t11.b.b	$2$	$ 3 \cdot 5^{2} \cdot 17 $	$3$	12.4.118919548828125.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.1352.12t11.b.a 2.1352.12t11.b.b	$2$	$ 2^{3} \cdot 13^{2}$	$2$	12.0.43436029431808.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.1675.12t11.b.a 2.1675.12t11.b.b	$2$	$ 5^{2} \cdot 67 $	$2$	12.0.39357658203125.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.2023.12t11.a.a 2.2023.12t11.a.b	$2$	$ 7 \cdot 17^{2}$	$2$	12.4.82286823034626833.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.2028.12t11.a.a 2.2028.12t11.a.b	$2$	$ 2^{2} \cdot 3 \cdot 13^{2}$	$3$	12.0.37162237930751232.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.2200.12t11.a.a 2.2200.12t11.a.b	$2$	$ 2^{3} \cdot 5^{2} \cdot 11 $	$3$	12.0.117128000000000.2	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.2200.12t11.b.a 2.2200.12t11.b.b	$2$	$ 2^{3} \cdot 5^{2} \cdot 11 $	$3$	12.0.7496192000000000.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.2300.12t11.a.a 2.2300.12t11.a.b	$2$	$ 2^{2} \cdot 5^{2} \cdot 23 $	$3$	12.0.139920500000000.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.2523.12t11.a.a 2.2523.12t11.a.b	$2$	$ 3 \cdot 29^{2}$	$2$	12.0.1175078824045389.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.2575.12t11.a.a 2.2575.12t11.a.b	$2$	$ 5^{2} \cdot 103 $	$2$	12.0.219825939453125.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.2800.12t11.a.a 2.2800.12t11.a.b	$2$	$ 2^{4} \cdot 5^{2} \cdot 7 $	$3$	12.4.307328000000000.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.2816.12t11.c.a 2.2816.12t11.c.b	$2$	$ 2^{8} \cdot 11 $	$2$	12.4.503060929445888.6	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.2816.12t11.d.a 2.2816.12t11.d.b	$2$	$ 2^{8} \cdot 11 $	$2$	12.0.503060929445888.2	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.3100.12t11.a.a 2.3100.12t11.a.b	$2$	$ 2^{2} \cdot 5^{2} \cdot 31 $	$3$	12.0.461760500000000.2	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.3179.12t11.b.a 2.3179.12t11.b.b	$2$	$ 11 \cdot 17^{2}$	$2$	12.4.501774833840054753.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.3211.12t11.b.a 2.3211.12t11.b.b	$2$	$ 13^{2} \cdot 19 $	$2$	12.0.1381988962788733.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.3275.12t11.b.a 2.3275.12t11.b.b	$2$	$ 5^{2} \cdot 131 $	$2$	12.0.575195158203125.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.3328.12t11.a.a 2.3328.12t11.a.b	$2$	$ 2^{8} \cdot 13 $	$2$	12.0.981348487528448.5	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.3328.12t11.b.a 2.3328.12t11.b.b	$2$	$ 2^{8} \cdot 13 $	$2$	12.4.981348487528448.4	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.3364.12t11.a.a 2.3364.12t11.a.b	$2$	$ 2^{2} \cdot 29^{2}$	$2$	12.0.3713829369822464.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.3400.12t11.a.a 2.3400.12t11.a.b	$2$	$ 2^{3} \cdot 5^{2} \cdot 17 $	$3$	12.4.42762752000000000.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.3400.12t11.b.a 2.3400.12t11.b.b	$2$	$ 2^{3} \cdot 5^{2} \cdot 17 $	$3$	12.0.668168000000000.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.3468.12t11.a.a 2.3468.12t11.a.b	$2$	$ 2^{2} \cdot 3 \cdot 17^{2}$	$3$	12.4.2459038207041792.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.3475.12t11.a.a 2.3475.12t11.a.b	$2$	$ 5^{2} \cdot 139 $	$2$	12.0.729103595703125.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.3675.12t11.a.a 2.3675.12t11.a.b	$2$	$ 3 \cdot 5^{2} \cdot 7^{2}$	$3$	12.4.1117211678173828125.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.3775.12t11.a.a 2.3775.12t11.a.b	$2$	$ 5^{2} \cdot 151 $	$2$	12.0.1015401564453125.2	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.3887.12t11.a.a 2.3887.12t11.a.b	$2$	$ 13^{2} \cdot 23 $	$2$	12.0.2967573709039693.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.3900.12t11.a.a 2.3900.12t11.a.b	$2$	$ 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 $	$4$	12.0.1156720500000000.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.3900.12t11.b.a 2.3900.12t11.b.b	$2$	$ 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 $	$4$	12.4.10410484500000000.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.4900.12t11.b.a 2.4900.12t11.b.b	$2$	$ 2^{2} \cdot 5^{2} \cdot 7^{2}$	$3$	12.0.2882400500000000.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.8100.12t11.a.a 2.8100.12t11.a.b	$2$	$ 2^{2} \cdot 3^{4} \cdot 5^{2}$	$3$	12.4.193710244500000000.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.8100.12t11.c.a 2.8100.12t11.c.b	$2$	$ 2^{2} \cdot 3^{4} \cdot 5^{2}$	$3$	12.0.21523360500000000.3	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.14175.12t11.a.a 2.14175.12t11.a.b	$2$	$ 3^{4} \cdot 5^{2} \cdot 7 $	$3$	12.0.201865580314453125.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.27075.12t11.a.a 2.27075.12t11.a.b	$2$	$ 3 \cdot 5^{2} \cdot 19^{2}$	$3$	12.0.2686852746720703125.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.29575.12t11.a.a 2.29575.12t11.a.b	$2$	$ 5^{2} \cdot 7 \cdot 13^{2}$	$3$	12.0.3825330978751953125.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.43264.12t11.a.a 2.43264.12t11.a.b	$2$	$ 2^{8} \cdot 13^{2}$	$2$	12.0.28028294152300003328.83	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.72075.12t11.b.a 2.72075.12t11.b.b	$2$	$ 3 \cdot 5^{2} \cdot 31^{2}$	$3$	12.0.134930027407658203125.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$0$
2.188180.12t11.a.a 2.188180.12t11.a.b	$2$	$ 2^{2} \cdot 5 \cdot 97^{2}$	$3$	12.12.121636969384730434720000.1	$S_3 \times C_4$	$S_3$	$S_3 \times C_4$	$0$	$2$

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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.