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 (1-50 of 664 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	$\chi(c)$
14.145...167.30t565.a.a	$14$	$ 277^{9} \cdot 811^{9}$	$2$	7.1.224647.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.161...327.30t565.a.a	$14$	$ 167^{9} \cdot 1361^{9}$	$2$	7.1.227287.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.238...361.30t565.a.a	$14$	$ 3^{6} \cdot 114089^{9}$	$2$	7.3.1026801.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.242...751.30t565.a.a	$14$	$ 23^{9} \cdot 10337^{9}$	$2$	7.1.237751.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.286...667.30t565.a.a	$14$	$ 242147^{9}$	$1$	7.1.242147.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.295...131.30t565.a.a	$14$	$ 242971^{9}$	$1$	7.1.242971.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.351...529.42t413.a.a	$14$	$ 13^{8} \cdot 29^{10} \cdot 317^{10}$	$3$	7.3.1553617.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.386...647.30t565.a.a	$14$	$ 13^{9} \cdot 19259^{9}$	$2$	7.1.250367.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.410...031.30t565.a.a	$14$	$ 83^{9} \cdot 3037^{9}$	$2$	7.1.252071.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.462...721.42t413.a.a	$14$	$ 11^{10} \cdot 13^{8} \cdot 859^{10}$	$3$	7.3.1596881.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.515...144.15t72.a.a	$14$	$ 2^{22} \cdot 3217^{12}$	$2$	8.0.72641749645773438449680384.1	$A_8$	$A_8$	$A_8$	$1$	$6$
14.579...231.30t565.a.a	$14$	$ 307^{9} \cdot 853^{9}$	$2$	7.1.261871.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.684...753.30t565.a.a	$14$	$ 3^{6} \cdot 128257^{9}$	$2$	7.3.1154313.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.697...467.30t565.a.a	$14$	$ 101^{9} \cdot 2647^{9}$	$2$	7.1.267347.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.759...769.42t413.a.a	$14$	$ 7^{10} \cdot 17^{6} \cdot 2017^{10}$	$3$	7.5.4080391.1	$S_7$	$S_7$	$S_7$	$1$	$-6$
14.778...007.30t565.a.a	$14$	$ 461^{9} \cdot 587^{9}$	$2$	7.1.270607.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.833...431.30t565.a.a	$14$	$ 7^{9} \cdot 38953^{9}$	$2$	7.1.272671.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.955...649.42t413.a.a	$14$	$ 7^{6} \cdot 73^{10} \cdot 337^{10}$	$3$	7.3.1205449.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.117...263.30t565.a.a	$14$	$ 61^{9} \cdot 4643^{9}$	$2$	7.1.283223.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.130...991.30t565.a.a	$14$	$ 286711^{9}$	$1$	7.1.286711.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.144...871.30t565.a.a	$14$	$ 109^{9} \cdot 2659^{9}$	$2$	7.1.289831.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.145...627.30t565.a.a	$14$	$ 289987^{9}$	$1$	7.1.289987.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.199...487.30t565.a.a	$14$	$ 29^{9} \cdot 43^{9} \cdot 241^{9}$	$3$	7.1.300527.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.272...031.30t565.a.a	$14$	$ 277^{9} \cdot 1123^{9}$	$2$	7.1.311071.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.310...679.30t565.a.a	$14$	$ 3^{9} \cdot 53^{10} \cdot 1277^{9}$	$3$	7.5.10761279.1	$S_7$	$S_7$	$S_7$	$1$	$-4$
14.310...071.30t565.a.a	$14$	$ 315631^{9}$	$1$	7.1.315631.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.324...839.30t565.a.a	$14$	$ 317159^{9}$	$1$	7.1.317159.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.350...871.30t565.a.a	$14$	$ 319831^{9}$	$1$	7.1.319831.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.423...161.42t413.a.a	$14$	$ 3^{10} \cdot 53^{8} \cdot 1277^{10}$	$3$	7.5.10761279.1	$S_7$	$S_7$	$S_7$	$1$	$-6$
14.470...127.30t565.a.a	$14$	$ 23^{9} \cdot 14369^{9}$	$2$	7.1.330487.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.496...367.30t565.a.a	$14$	$ 332447^{9}$	$1$	7.1.332447.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.527...287.30t565.a.a	$14$	$ 334727^{9}$	$1$	7.1.334727.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.578...311.30t565.a.a	$14$	$ 7^{9} \cdot 48313^{9}$	$2$	7.1.338191.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.614...401.42t413.a.a	$14$	$ 7^{6} \cdot 29633^{10}$	$2$	7.3.1452017.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.785...967.30t565.a.a	$14$	$ 19^{9} \cdot 18413^{9}$	$2$	7.1.349847.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.820...027.30t565.a.a	$14$	$ 351587^{9}$	$1$	7.1.351587.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.822...375.30t565.a.a	$14$	$ 5^{9} \cdot 53^{9} \cdot 1327^{9}$	$3$	7.1.351655.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.133...571.30t565.a.a	$14$	$ 371131^{9}$	$1$	7.1.371131.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.141...007.30t565.a.a	$14$	$ 13^{9} \cdot 29^{9} \cdot 991^{9}$	$3$	7.1.373607.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.150...723.30t565.a.a	$14$	$ 389^{9} \cdot 967^{9}$	$2$	7.1.376163.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.168...871.30t565.a.a	$14$	$ 11^{9} \cdot 89^{9} \cdot 389^{9}$	$3$	7.1.380831.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.175...071.30t565.a.a	$14$	$ 382631^{9}$	$1$	7.1.382631.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.180...927.30t565.a.a	$14$	$ 31^{9} \cdot 12377^{9}$	$2$	7.1.383687.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.180...633.30t565.a.a	$14$	$ 3^{6} \cdot 109^{9} \cdot 1693^{9}$	$3$	7.3.1660833.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.240...739.30t565.a.a	$14$	$ 396259^{9}$	$1$	7.1.396259.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.248...983.30t565.a.a	$14$	$ 499^{9} \cdot 797^{9}$	$2$	7.1.397703.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.250...511.30t565.a.a	$14$	$ 11^{9} \cdot 97^{9} \cdot 373^{9}$	$3$	7.1.397991.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.274...691.30t565.a.a	$14$	$ 73^{9} \cdot 5507^{9}$	$2$	7.1.402011.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.320...411.30t565.a.a	$14$	$ 313^{9} \cdot 1307^{9}$	$2$	7.1.409091.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.329...687.30t565.a.a	$14$	$ 181^{9} \cdot 2267^{9}$	$2$	7.1.410327.1	$S_7$	$S_7$	$S_7$	$1$	$0$

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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.