LMFDB - Complex character search results

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Degree	Type	Faithful	Conductor

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Results (32 matches)

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Label	Degree	Type	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
128.68.1a	$1$	R		$1$	$\Q$	128.68.1a	$D_8:C_8$	$C_1$	$1$	1.a1.a1	$128$	1.a1.a1	$128$	$1$	$1$
128.68.1b	$1$	R		$1$	$\Q$	128.68.1b	$D_8:C_8$	$C_2$	$2$	2.c1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.68.1c	$1$	R		$1$	$\Q$	128.68.1c	$D_8:C_8$	$C_2$	$2$	2.b1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.68.1d	$1$	R		$1$	$\Q$	128.68.1d	$D_8:C_8$	$C_2$	$2$	2.a1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.68.1e1	$1$	C		$4$	$\Q(\sqrt{-1}) $	128.68.1e	$D_8:C_8$	$C_4$	$4$	4.c1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.68.1e2	$1$	C		$4$	$\Q(\sqrt{-1}) $	128.68.1e	$D_8:C_8$	$C_4$	$4$	4.c1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.68.1f1	$1$	C		$4$	$\Q(\sqrt{-1}) $	128.68.1f	$D_8:C_8$	$C_4$	$4$	4.a1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.68.1f2	$1$	C		$4$	$\Q(\sqrt{-1}) $	128.68.1f	$D_8:C_8$	$C_4$	$4$	4.a1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.68.1g1	$1$	C		$8$	$\Q(\zeta_{8})$	128.68.1g	$D_8:C_8$	$C_8$	$8$	8.e1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.68.1g2	$1$	C		$8$	$\Q(\zeta_{8})$	128.68.1g	$D_8:C_8$	$C_8$	$8$	8.e1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.68.1g3	$1$	C		$8$	$\Q(\zeta_{8})$	128.68.1g	$D_8:C_8$	$C_8$	$8$	8.e1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.68.1g4	$1$	C		$8$	$\Q(\zeta_{8})$	128.68.1g	$D_8:C_8$	$C_8$	$8$	8.e1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.68.1h1	$1$	C		$8$	$\Q(\zeta_{8})$	128.68.1h	$D_8:C_8$	$C_8$	$8$	8.d1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.68.1h2	$1$	C		$8$	$\Q(\zeta_{8})$	128.68.1h	$D_8:C_8$	$C_8$	$8$	8.d1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.68.1h3	$1$	C		$8$	$\Q(\zeta_{8})$	128.68.1h	$D_8:C_8$	$C_8$	$8$	8.d1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.68.1h4	$1$	C		$8$	$\Q(\zeta_{8})$	128.68.1h	$D_8:C_8$	$C_8$	$8$	8.d1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.68.2a	$2$	R		$1$	$\Q$	128.68.2a	$D_8:C_8$	$D_4$	$8$	8.b1.a1	$16$	4.b1.a1	$32$	$4$	$1$
128.68.2b	$2$	R		$1$	$\Q$	128.68.2b	$D_8:C_8$	$D_4$	$8$	8.a1.a1	$16$	4.b1.a1	$32$	$4$	$1$
128.68.2c1	$2$	R		$8$	$\Q(\sqrt{2}) $	128.68.2c	$D_8:C_8$	$D_8$	$16$	16.c1.a1	$8$	8.b1.a1	$16$	$8$	$1$
128.68.2c2	$2$	R		$8$	$\Q(\sqrt{2}) $	128.68.2c	$D_8:C_8$	$D_8$	$16$	16.c1.a1	$8$	8.b1.a1	$16$	$8$	$1$
128.68.2d1	$2$	C		$4$	$\Q(\sqrt{-1}) $	128.68.2d	$D_8:C_8$	$\OD_{16}$	$16$	16.e1.a1	$8$	4.b1.a1	$32$	$4$	$1$
128.68.2d2	$2$	C		$4$	$\Q(\sqrt{-1}) $	128.68.2d	$D_8:C_8$	$\OD_{16}$	$16$	16.e1.a1	$8$	4.b1.a1	$32$	$4$	$1$
128.68.2e1	$2$	C		$8$	$\Q(\sqrt{-2}) $	128.68.2e	$D_8:C_8$	$\SD_{16}$	$16$	16.b1.a1	$8$	8.b1.a1	$16$	$8$	$1$
128.68.2e2	$2$	C		$8$	$\Q(\sqrt{-2}) $	128.68.2e	$D_8:C_8$	$\SD_{16}$	$16$	16.b1.a1	$8$	8.b1.a1	$16$	$8$	$1$
128.68.2f1	$2$	C		$4$	$\Q(\sqrt{-1}) $	128.68.2f	$D_8:C_8$	$C_4\wr C_2$	$32$	32.a1.a1	$4$	8.b1.a1	$16$	$8$	$1$
128.68.2f2	$2$	C		$4$	$\Q(\sqrt{-1}) $	128.68.2f	$D_8:C_8$	$C_4\wr C_2$	$32$	32.a1.a1	$4$	8.b1.a1	$16$	$8$	$1$
128.68.2g1	$2$	C		$4$	$\Q(\sqrt{-1}) $	128.68.2g	$D_8:C_8$	$C_4\wr C_2$	$32$	32.a1.a1	$4$	8.b1.a1	$16$	$8$	$1$
128.68.2g2	$2$	C		$4$	$\Q(\sqrt{-1}) $	128.68.2g	$D_8:C_8$	$C_4\wr C_2$	$32$	32.a1.a1	$4$	8.b1.a1	$16$	$8$	$1$
128.68.4a1	$4$	C	✓	$4$	$\Q(\sqrt{-1}) $	128.68.4a	$D_8:C_8$	$D_8:C_8$	$128$	128.a1.a1	$1$	32.b1.a1	$4$	$32$	$1$
128.68.4a2	$4$	C	✓	$4$	$\Q(\sqrt{-1}) $	128.68.4a	$D_8:C_8$	$D_8:C_8$	$128$	128.a1.a1	$1$	32.b1.a1	$4$	$32$	$1$
128.68.4b1	$4$	C	✓	$4$	$\Q(\sqrt{-1}) $	128.68.4b	$D_8:C_8$	$D_8:C_8$	$128$	128.a1.a1	$1$	32.b1.a1	$4$	$32$	$1$
128.68.4b2	$4$	C	✓	$4$	$\Q(\sqrt{-1}) $	128.68.4b	$D_8:C_8$	$D_8:C_8$	$128$	128.a1.a1	$1$	32.b1.a1	$4$	$32$	$1$

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Elliptic curves over $\Q$
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Results (32 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	Degree	Type	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
128.68.1a	$1$	R		$1$	\(\Q\)	128.68.1a	$D_8:C_8$	$C_1$	$1$	1.a1.a1	$128$	1.a1.a1	$128$	$1$	$1$
128.68.1b	$1$	R		$1$	\(\Q\)	128.68.1b	$D_8:C_8$	$C_2$	$2$	2.c1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.68.1c	$1$	R		$1$	\(\Q\)	128.68.1c	$D_8:C_8$	$C_2$	$2$	2.b1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.68.1d	$1$	R		$1$	\(\Q\)	128.68.1d	$D_8:C_8$	$C_2$	$2$	2.a1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.68.1e1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	128.68.1e	$D_8:C_8$	$C_4$	$4$	4.c1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.68.1e2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	128.68.1e	$D_8:C_8$	$C_4$	$4$	4.c1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.68.1f1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	128.68.1f	$D_8:C_8$	$C_4$	$4$	4.a1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.68.1f2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	128.68.1f	$D_8:C_8$	$C_4$	$4$	4.a1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.68.1g1	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.68.1g	$D_8:C_8$	$C_8$	$8$	8.e1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.68.1g2	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.68.1g	$D_8:C_8$	$C_8$	$8$	8.e1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.68.1g3	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.68.1g	$D_8:C_8$	$C_8$	$8$	8.e1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.68.1g4	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.68.1g	$D_8:C_8$	$C_8$	$8$	8.e1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.68.1h1	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.68.1h	$D_8:C_8$	$C_8$	$8$	8.d1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.68.1h2	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.68.1h	$D_8:C_8$	$C_8$	$8$	8.d1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.68.1h3	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.68.1h	$D_8:C_8$	$C_8$	$8$	8.d1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.68.1h4	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.68.1h	$D_8:C_8$	$C_8$	$8$	8.d1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.68.2a	$2$	R		$1$	\(\Q\)	128.68.2a	$D_8:C_8$	$D_4$	$8$	8.b1.a1	$16$	4.b1.a1	$32$	$4$	$1$
128.68.2b	$2$	R		$1$	\(\Q\)	128.68.2b	$D_8:C_8$	$D_4$	$8$	8.a1.a1	$16$	4.b1.a1	$32$	$4$	$1$
128.68.2c1	$2$	R		$8$	\(\Q(\sqrt{2}) \)	128.68.2c	$D_8:C_8$	$D_8$	$16$	16.c1.a1	$8$	8.b1.a1	$16$	$8$	$1$
128.68.2c2	$2$	R		$8$	\(\Q(\sqrt{2}) \)	128.68.2c	$D_8:C_8$	$D_8$	$16$	16.c1.a1	$8$	8.b1.a1	$16$	$8$	$1$
128.68.2d1	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	128.68.2d	$D_8:C_8$	$\OD_{16}$	$16$	16.e1.a1	$8$	4.b1.a1	$32$	$4$	$1$
128.68.2d2	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	128.68.2d	$D_8:C_8$	$\OD_{16}$	$16$	16.e1.a1	$8$	4.b1.a1	$32$	$4$	$1$
128.68.2e1	$2$	C		$8$	\(\Q(\sqrt{-2}) \)	128.68.2e	$D_8:C_8$	$\SD_{16}$	$16$	16.b1.a1	$8$	8.b1.a1	$16$	$8$	$1$
128.68.2e2	$2$	C		$8$	\(\Q(\sqrt{-2}) \)	128.68.2e	$D_8:C_8$	$\SD_{16}$	$16$	16.b1.a1	$8$	8.b1.a1	$16$	$8$	$1$
128.68.2f1	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	128.68.2f	$D_8:C_8$	$C_4\wr C_2$	$32$	32.a1.a1	$4$	8.b1.a1	$16$	$8$	$1$
128.68.2f2	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	128.68.2f	$D_8:C_8$	$C_4\wr C_2$	$32$	32.a1.a1	$4$	8.b1.a1	$16$	$8$	$1$
128.68.2g1	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	128.68.2g	$D_8:C_8$	$C_4\wr C_2$	$32$	32.a1.a1	$4$	8.b1.a1	$16$	$8$	$1$
128.68.2g2	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	128.68.2g	$D_8:C_8$	$C_4\wr C_2$	$32$	32.a1.a1	$4$	8.b1.a1	$16$	$8$	$1$
128.68.4a1	$4$	C	✓	$4$	\(\Q(\sqrt{-1}) \)	128.68.4a	$D_8:C_8$	$D_8:C_8$	$128$	128.a1.a1	$1$	32.b1.a1	$4$	$32$	$1$
128.68.4a2	$4$	C	✓	$4$	\(\Q(\sqrt{-1}) \)	128.68.4a	$D_8:C_8$	$D_8:C_8$	$128$	128.a1.a1	$1$	32.b1.a1	$4$	$32$	$1$
128.68.4b1	$4$	C	✓	$4$	\(\Q(\sqrt{-1}) \)	128.68.4b	$D_8:C_8$	$D_8:C_8$	$128$	128.a1.a1	$1$	32.b1.a1	$4$	$32$	$1$
128.68.4b2	$4$	C	✓	$4$	\(\Q(\sqrt{-1}) \)	128.68.4b	$D_8:C_8$	$D_8:C_8$	$128$	128.a1.a1	$1$	32.b1.a1	$4$	$32$	$1$