LMFDB - Artin representation search results

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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	$\chi(c)$
2.420.8t11.a.a 2.420.8t11.a.b	$2$	$ 2^{2} \cdot 3 \cdot 5 \cdot 7 $	$4$	8.0.70560000.1	$Q_8:C_2$	$C_2^2$	$Q_8:C_2$	$0$	$0$
2.420.8t11.b.a 2.420.8t11.b.b	$2$	$ 2^{2} \cdot 3 \cdot 5 \cdot 7 $	$4$	8.0.70560000.2	$Q_8:C_2$	$C_2^2$	$Q_8:C_2$	$0$	$0$
2.780.3t2.a.a	$2$	$ 2^{2} \cdot 3 \cdot 5 \cdot 13 $	$4$	3.1.780.1	$S_3$	$S_3$	$S_3$	$1$	$0$
2.780.6t3.a.a	$2$	$ 2^{2} \cdot 3 \cdot 5 \cdot 13 $	$4$	6.2.3042000.1	$D_{6}$	$S_3$	$D_{6}$	$1$	$0$
2.780.6t3.c.a	$2$	$ 2^{2} \cdot 3 \cdot 5 \cdot 13 $	$4$	6.2.7909200.1	$D_{6}$	$S_3$	$D_{6}$	$1$	$0$
2.780.6t3.f.a	$2$	$ 2^{2} \cdot 3 \cdot 5 \cdot 13 $	$4$	6.0.1825200.1	$D_{6}$	$S_3$	$D_{6}$	$1$	$0$
2.924.6t5.b.a 2.924.6t5.b.b	$2$	$ 2^{2} \cdot 3 \cdot 7 \cdot 11 $	$4$	6.0.112698432.1	$S_3\times C_3$	$S_3$	$S_3\times C_3$	$0$	$0$
2.924.12t18.c.a 2.924.12t18.c.b	$2$	$ 2^{2} \cdot 3 \cdot 7 \cdot 11 $	$4$	12.0.12700936575258624.1	$C_6\times S_3$	$S_3$	$C_6\times S_3$	$0$	$0$
2.924.12t18.d.a 2.924.12t18.d.b	$2$	$ 2^{2} \cdot 3 \cdot 7 \cdot 11 $	$4$	12.0.12700936575258624.2	$C_6\times S_3$	$S_3$	$C_6\times S_3$	$0$	$0$
2.1092.6t5.a.a 2.1092.6t5.a.b	$2$	$ 2^{2} \cdot 3 \cdot 7 \cdot 13 $	$4$	6.0.3577392.2	$S_3\times C_3$	$S_3$	$S_3\times C_3$	$0$	$0$
2.1092.6t5.b.a 2.1092.6t5.b.b	$2$	$ 2^{2} \cdot 3 \cdot 7 \cdot 13 $	$4$	6.0.3577392.3	$S_3\times C_3$	$S_3$	$S_3\times C_3$	$0$	$0$
2.1140.4t3.e.a	$2$	$ 2^{2} \cdot 3 \cdot 5 \cdot 19 $	$4$	4.0.17100.2	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$0$
2.1140.4t3.f.a	$2$	$ 2^{2} \cdot 3 \cdot 5 \cdot 19 $	$4$	4.0.17100.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$0$
2.1140.4t3.g.a	$2$	$ 2^{2} \cdot 3 \cdot 5 \cdot 19 $	$4$	4.0.17100.4	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$0$
2.1140.4t3.h.a	$2$	$ 2^{2} \cdot 3 \cdot 5 \cdot 19 $	$4$	4.0.17100.3	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$0$
2.1155.8t11.a.a 2.1155.8t11.a.b	$2$	$ 3 \cdot 5 \cdot 7 \cdot 11 $	$4$	8.0.1634180625.2	$Q_8:C_2$	$C_2^2$	$Q_8:C_2$	$0$	$0$
2.1155.8t11.b.a 2.1155.8t11.b.b	$2$	$ 3 \cdot 5 \cdot 7 \cdot 11 $	$4$	8.0.1634180625.3	$Q_8:C_2$	$C_2^2$	$Q_8:C_2$	$0$	$0$
2.1260.6t3.c.a	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 $	$4$	6.0.2646000.1	$D_{6}$	$S_3$	$D_{6}$	$1$	$0$
2.1260.6t3.d.a	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 $	$4$	6.0.529200.1	$D_{6}$	$S_3$	$D_{6}$	$1$	$0$
2.1260.6t5.a.a 2.1260.6t5.a.b	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 $	$4$	6.0.31752000.1	$S_3\times C_3$	$S_3$	$S_3\times C_3$	$0$	$0$
2.1260.6t5.b.a 2.1260.6t5.b.b	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 $	$4$	6.0.31752000.2	$S_3\times C_3$	$S_3$	$S_3\times C_3$	$0$	$0$
2.1260.6t5.c.a 2.1260.6t5.c.b	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 $	$4$	6.0.31752000.4	$S_3\times C_3$	$S_3$	$S_3\times C_3$	$0$	$0$
2.1260.6t5.d.a 2.1260.6t5.d.b	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 $	$4$	6.0.31752000.5	$S_3\times C_3$	$S_3$	$S_3\times C_3$	$0$	$0$
2.1260.6t5.e.a 2.1260.6t5.e.b	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 $	$4$	6.0.55566000.1	$S_3\times C_3$	$S_3$	$S_3\times C_3$	$0$	$0$
2.1260.6t5.f.a 2.1260.6t5.f.b	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 $	$4$	6.0.55566000.2	$S_3\times C_3$	$S_3$	$S_3\times C_3$	$0$	$0$
2.1260.12t18.a.a 2.1260.12t18.a.b	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 $	$4$	12.0.112021056000000.1	$C_6\times S_3$	$S_3$	$C_6\times S_3$	$0$	$0$
2.1260.12t18.b.a 2.1260.12t18.b.b	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 $	$4$	12.0.112021056000000.2	$C_6\times S_3$	$S_3$	$C_6\times S_3$	$0$	$0$
2.1260.12t18.e.a 2.1260.12t18.e.b	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 $	$4$	12.0.3087580356000000.2	$C_6\times S_3$	$S_3$	$C_6\times S_3$	$0$	$0$
2.1260.12t18.f.a 2.1260.12t18.f.b	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 $	$4$	12.0.3087580356000000.1	$C_6\times S_3$	$S_3$	$C_6\times S_3$	$0$	$0$
2.1365.6t5.c.a 2.1365.6t5.c.b	$2$	$ 3 \cdot 5 \cdot 7 \cdot 13 $	$4$	6.0.363328875.1	$S_3\times C_3$	$S_3$	$S_3\times C_3$	$0$	$0$
2.1365.12t18.b.a 2.1365.12t18.b.b	$2$	$ 3 \cdot 5 \cdot 7 \cdot 13 $	$4$	12.0.132007871408765625.2	$C_6\times S_3$	$S_3$	$C_6\times S_3$	$0$	$0$
2.1365.12t18.c.a 2.1365.12t18.c.b	$2$	$ 3 \cdot 5 \cdot 7 \cdot 13 $	$4$	12.0.132007871408765625.1	$C_6\times S_3$	$S_3$	$C_6\times S_3$	$0$	$0$
2.1380.8t11.a.a 2.1380.8t11.a.b	$2$	$ 2^{2} \cdot 3 \cdot 5 \cdot 23 $	$4$	8.0.428490000.1	$Q_8:C_2$	$C_2^2$	$Q_8:C_2$	$0$	$0$
2.1380.8t11.b.a 2.1380.8t11.b.b	$2$	$ 2^{2} \cdot 3 \cdot 5 \cdot 23 $	$4$	8.0.428490000.2	$Q_8:C_2$	$C_2^2$	$Q_8:C_2$	$0$	$0$
2.1380.8t11.c.a 2.1380.8t11.c.b	$2$	$ 2^{2} \cdot 3 \cdot 5 \cdot 23 $	$4$	8.0.761760000.1	$Q_8:C_2$	$C_2^2$	$Q_8:C_2$	$0$	$0$
2.1380.8t11.d.a 2.1380.8t11.d.b	$2$	$ 2^{2} \cdot 3 \cdot 5 \cdot 23 $	$4$	8.0.761760000.2	$Q_8:C_2$	$C_2^2$	$Q_8:C_2$	$0$	$0$
2.1428.6t5.a.a 2.1428.6t5.a.b	$2$	$ 2^{2} \cdot 3 \cdot 7 \cdot 17 $	$4$	6.6.415993536.1	$S_3\times C_3$	$S_3$	$S_3\times C_3$	$0$	$2$
2.1428.8t11.c.a 2.1428.8t11.c.b	$2$	$ 2^{2} \cdot 3 \cdot 7 \cdot 17 $	$4$	8.0.14388482304.1	$Q_8:C_2$	$C_2^2$	$Q_8:C_2$	$0$	$0$
2.1428.8t11.d.a 2.1428.8t11.d.b	$2$	$ 2^{2} \cdot 3 \cdot 7 \cdot 17 $	$4$	8.0.14388482304.2	$Q_8:C_2$	$C_2^2$	$Q_8:C_2$	$0$	$0$
2.1560.4t3.a.a	$2$	$ 2^{3} \cdot 3 \cdot 5 \cdot 13 $	$4$	4.0.60840.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$0$
2.1560.4t3.b.a	$2$	$ 2^{3} \cdot 3 \cdot 5 \cdot 13 $	$4$	4.0.60840.2	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$0$
2.1560.4t3.c.a	$2$	$ 2^{3} \cdot 3 \cdot 5 \cdot 13 $	$4$	4.0.60840.3	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$0$
2.1560.4t3.d.a	$2$	$ 2^{3} \cdot 3 \cdot 5 \cdot 13 $	$4$	4.0.60840.4	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$0$
2.1560.6t5.b.a 2.1560.6t5.b.b	$2$	$ 2^{3} \cdot 3 \cdot 5 \cdot 13 $	$4$	6.0.292032000.1	$S_3\times C_3$	$S_3$	$S_3\times C_3$	$0$	$0$
2.1560.8t11.e.a 2.1560.8t11.e.b	$2$	$ 2^{3} \cdot 3 \cdot 5 \cdot 13 $	$4$	8.0.3701505600.1	$Q_8:C_2$	$C_2^2$	$Q_8:C_2$	$0$	$0$
2.1560.8t11.f.a 2.1560.8t11.f.b	$2$	$ 2^{3} \cdot 3 \cdot 5 \cdot 13 $	$4$	8.0.3701505600.2	$Q_8:C_2$	$C_2^2$	$Q_8:C_2$	$0$	$0$
2.1560.12t18.a.a 2.1560.12t18.a.b	$2$	$ 2^{3} \cdot 3 \cdot 5 \cdot 13 $	$4$	12.0.85282689024000000.1	$C_6\times S_3$	$S_3$	$C_6\times S_3$	$0$	$0$
2.1560.12t18.b.a 2.1560.12t18.b.b	$2$	$ 2^{3} \cdot 3 \cdot 5 \cdot 13 $	$4$	12.0.85282689024000000.2	$C_6\times S_3$	$S_3$	$C_6\times S_3$	$0$	$0$
2.1596.4t3.i.a	$2$	$ 2^{2} \cdot 3 \cdot 7 \cdot 19 $	$4$	4.4.44688.2	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.1596.4t3.j.a	$2$	$ 2^{2} \cdot 3 \cdot 7 \cdot 19 $	$4$	4.4.44688.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$

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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.