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 1415 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	$\chi(c)$
4.75625.8t16.b.a	$4$	$ 5^{4} \cdot 11^{2}$	$2$	8.0.9453125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.131072.8t19.d.a	$4$	$ 2^{17}$	$1$	8.0.67108864.2	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.160000.8t16.a.a	$4$	$ 2^{8} \cdot 5^{4}$	$2$	8.0.20000000.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.210125.8t19.b.a	$4$	$ 5^{3} \cdot 41^{2}$	$2$	8.0.1766100625.2	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.257049.8t16.b.a	$4$	$ 3^{2} \cdot 13^{4}$	$2$	8.0.564736653.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.288000.8t19.a.a	$4$	$ 2^{8} \cdot 3^{2} \cdot 5^{3}$	$3$	8.0.829440000.2	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.288000.8t19.b.a	$4$	$ 2^{8} \cdot 3^{2} \cdot 5^{3}$	$3$	8.0.829440000.3	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.465125.8t19.b.a	$4$	$ 5^{3} \cdot 61^{2}$	$2$	8.0.8653650625.1	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.512000.8t19.a.a	$4$	$ 2^{12} \cdot 5^{3}$	$2$	8.0.655360000.3	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.512000.8t19.b.a	$4$	$ 2^{12} \cdot 5^{3}$	$2$	8.0.655360000.4	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.591872.8t19.a.a	$4$	$ 2^{11} \cdot 17^{2}$	$2$	8.0.1368408064.2	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.591872.8t19.b.a	$4$	$ 2^{11} \cdot 17^{2}$	$2$	8.0.1368408064.3	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.600625.8t16.a.a	$4$	$ 5^{4} \cdot 31^{2}$	$2$	8.0.75078125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.722000.8t19.a.a	$4$	$ 2^{4} \cdot 5^{3} \cdot 19^{2}$	$3$	8.0.20851360000.4	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.722000.8t19.b.a	$4$	$ 2^{4} \cdot 5^{3} \cdot 19^{2}$	$3$	8.0.20851360000.5	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.741125.8t19.c.a	$4$	$ 5^{3} \cdot 7^{2} \cdot 11^{2}$	$3$	8.0.11209515625.1	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.741125.8t19.d.a	$4$	$ 5^{3} \cdot 7^{2} \cdot 11^{2}$	$3$	8.0.11209515625.2	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.830297.8t19.a.a	$4$	$ 13^{2} \cdot 17^{3}$	$2$	8.0.2385443281.1	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.903168.8t19.c.a	$4$	$ 2^{11} \cdot 3^{2} \cdot 7^{2}$	$3$	8.0.3186376704.5	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.903168.8t19.d.a	$4$	$ 2^{11} \cdot 3^{2} \cdot 7^{2}$	$3$	8.0.3186376704.6	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.946125.8t19.c.a	$4$	$ 3^{2} \cdot 5^{3} \cdot 29^{2}$	$3$	8.0.35806100625.5	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.946125.8t19.d.a	$4$	$ 3^{2} \cdot 5^{3} \cdot 29^{2}$	$3$	8.0.35806100625.6	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.968000.8t19.c.a	$4$	$ 2^{6} \cdot 5^{3} \cdot 11^{2}$	$3$	8.0.14641000000.1	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.968000.8t19.d.a	$4$	$ 2^{6} \cdot 5^{3} \cdot 11^{2}$	$3$	8.0.14641000000.2	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.1048576.8t16.a.a	$4$	$ 2^{20}$	$1$	8.4.2147483648.2	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.1081125.8t19.a.a	$4$	$ 3^{2} \cdot 5^{3} \cdot 31^{2}$	$3$	8.0.46753250625.4	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.1081125.8t19.b.a	$4$	$ 3^{2} \cdot 5^{3} \cdot 31^{2}$	$3$	8.0.46753250625.5	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.1179648.8t19.d.a	$4$	$ 2^{17} \cdot 3^{2}$	$2$	8.0.2415919104.4	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.1179648.8t19.e.a	$4$	$ 2^{17} \cdot 3^{2}$	$2$	8.0.2415919104.3	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.1257728.8t19.c.a	$4$	$ 2^{8} \cdot 17^{3}$	$2$	8.0.342102016.6	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.1265472.8t19.c.a	$4$	$ 2^{6} \cdot 3^{2} \cdot 13^{3}$	$3$	8.0.9475854336.13	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.1265472.8t19.d.a	$4$	$ 2^{6} \cdot 3^{2} \cdot 13^{3}$	$3$	8.0.9475854336.14	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.1275125.8t19.a.a	$4$	$ 5^{3} \cdot 101^{2}$	$2$	8.4.65037750625.2	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.1568000.8t19.c.a	$4$	$ 2^{8} \cdot 5^{3} \cdot 7^{2}$	$3$	8.0.12544000000.1	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.1568000.8t19.d.a	$4$	$ 2^{8} \cdot 5^{3} \cdot 7^{2}$	$3$	8.0.12544000000.2	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.1847677.8t19.a.a	$4$	$ 13^{3} \cdot 29^{2}$	$2$	8.0.20200652641.2	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.1965200.8t19.c.a	$4$	$ 2^{4} \cdot 5^{2} \cdot 17^{3}$	$3$	8.0.534534400.2	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.1965200.8t19.d.a	$4$	$ 2^{4} \cdot 5^{2} \cdot 17^{3}$	$3$	8.0.534534400.3	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.1968128.8t19.a.a	$4$	$ 2^{11} \cdot 31^{2}$	$2$	8.0.15130968064.4	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.2048000.8t19.c.a	$4$	$ 2^{14} \cdot 5^{3}$	$2$	8.0.2621440000.3	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.2048000.8t19.d.a	$4$	$ 2^{14} \cdot 5^{3}$	$2$	8.0.2621440000.13	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.2211125.8t19.c.a	$4$	$ 5^{3} \cdot 7^{2} \cdot 19^{2}$	$3$	8.0.3991080625.1	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.2211125.8t19.d.a	$4$	$ 5^{3} \cdot 7^{2} \cdot 19^{2}$	$3$	8.0.3991080625.2	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.2304000.8t19.c.a	$4$	$ 2^{11} \cdot 3^{2} \cdot 5^{3}$	$3$	8.0.20736000000.1	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.2304000.8t19.d.a	$4$	$ 2^{11} \cdot 3^{2} \cdot 5^{3}$	$3$	8.0.20736000000.2	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.2367488.8t19.a.a	$4$	$ 2^{13} \cdot 17^{2}$	$2$	8.0.5473632256.7	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.2367488.8t19.b.a	$4$	$ 2^{13} \cdot 17^{2}$	$2$	8.0.5473632256.8	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.2392533.8t19.c.a	$4$	$ 3^{2} \cdot 11^{2} \cdot 13^{3}$	$3$	8.0.33871089681.4	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.2392533.8t19.d.a	$4$	$ 3^{2} \cdot 11^{2} \cdot 13^{3}$	$3$	8.0.33871089681.5	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$
4.2508800.8t19.a.a	$4$	$ 2^{11} \cdot 5^{2} \cdot 7^{2}$	$3$	8.0.24586240000.2	$C_2^3 : C_4 $	$C_2^2:C_4$	$C_2^3 : C_4 $	$1$	$0$

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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.