LMFDB - Complex character search results

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Results (33 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
5280.m.1a	$1$	R		$1$	$\Q$	5280.m.1a	$C_2^2.\PGL(2,11)$	$C_1$	$1$	1.a1.a1	$5280$	1.a1.a1	$5280$	$1$	$1$
5280.m.1b	$1$	R		$1$	$\Q$	5280.m.1b	$C_2^2.\PGL(2,11)$	$C_2$	$2$	2.c1.a1	$2640$	1.a1.a1	$5280$	$1$	$1$
5280.m.1c	$1$	R		$1$	$\Q$	5280.m.1c	$C_2^2.\PGL(2,11)$	$C_2$	$2$	2.b1.a1	$2640$	1.a1.a1	$5280$	$1$	$1$
5280.m.1d	$1$	R		$1$	$\Q$	5280.m.1d	$C_2^2.\PGL(2,11)$	$C_2$	$2$	2.a1.a1	$2640$	1.a1.a1	$5280$	$1$	$1$
5280.m.10a	$10$	R		$1$	$\Q$	5280.m.10a	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10b	$10$	R		$1$	$\Q$	5280.m.10b	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10c	$10$	R		$1$	$\Q$	5280.m.10c	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10d	$10$	R		$1$	$\Q$	5280.m.10d	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10e	$10$	R		$1$	$\Q$	5280.m.10e	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10f	$10$	R		$1$	$\Q$	5280.m.10f	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10g1	$10$	R		$12$	$\Q(\sqrt{3}) $	5280.m.10g	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10g2	$10$	R		$12$	$\Q(\sqrt{3}) $	5280.m.10g	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10h1	$10$	R		$12$	$\Q(\sqrt{3}) $	5280.m.10h	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10h2	$10$	R		$12$	$\Q(\sqrt{3}) $	5280.m.10h	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.11a	$11$	R		$1$	$\Q$	5280.m.11a	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.11b	$11$	R		$1$	$\Q$	5280.m.11b	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.11c	$11$	R		$1$	$\Q$	5280.m.11c	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.11d	$11$	R		$1$	$\Q$	5280.m.11d	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.12a1	$12$	C	✓	$11$	$\Q(\sqrt{-11}) $	5280.m.12a	$C_2^2.\PGL(2,11)$	$C_2^2.\PGL(2,11)$	$5280$	5280.a1.a1	$1$	2640.a1.a1	$2$	$2640$	$1$
5280.m.12a2	$12$	C	✓	$11$	$\Q(\sqrt{-11}) $	5280.m.12a	$C_2^2.\PGL(2,11)$	$C_2^2.\PGL(2,11)$	$5280$	5280.a1.a1	$1$	2640.a1.a1	$2$	$2640$	$1$
5280.m.12b1	$12$	R		$5$	$\Q(\sqrt{5}) $	5280.m.12b	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.12b2	$12$	R		$5$	$\Q(\sqrt{5}) $	5280.m.12b	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.12c1	$12$	R		$5$	$\Q(\sqrt{5}) $	5280.m.12c	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.12c2	$12$	R		$5$	$\Q(\sqrt{5}) $	5280.m.12c	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.12d1	$12$	R		$5$	$\Q(\sqrt{5}) $	5280.m.12d	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.12d2	$12$	R		$5$	$\Q(\sqrt{5}) $	5280.m.12d	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.12e1	$12$	R		$5$	$\Q(\sqrt{5}) $	5280.m.12e	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.12e2	$12$	R		$5$	$\Q(\sqrt{5}) $	5280.m.12e	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.20a	$20$	S	✓	$1$	$\Q$	5280.m.20a	$C_2^2.\PGL(2,11)$	$C_2^2.\PGL(2,11)$	$5280$	5280.a1.a1	$1$	2640.a1.a1	$2$	$2640$	$2$
5280.m.20b1	$20$	S	✓	$12$	$\Q(\sqrt{3}) $	5280.m.20b	$C_2^2.\PGL(2,11)$	$C_2^2.\PGL(2,11)$	$5280$	5280.a1.a1	$1$	2640.a1.a1	$2$	$2640$	$2$
5280.m.20b2	$20$	S	✓	$12$	$\Q(\sqrt{3}) $	5280.m.20b	$C_2^2.\PGL(2,11)$	$C_2^2.\PGL(2,11)$	$5280$	5280.a1.a1	$1$	2640.a1.a1	$2$	$2640$	$2$
5280.m.24a1	$24$	S	✓	$5$	$\Q(\sqrt{5}) $	5280.m.24a	$C_2^2.\PGL(2,11)$	$C_2^2.\PGL(2,11)$	$5280$	5280.a1.a1	$1$	2640.a1.a1	$2$	$2640$	$2$
5280.m.24a2	$24$	S	✓	$5$	$\Q(\sqrt{5}) $	5280.m.24a	$C_2^2.\PGL(2,11)$	$C_2^2.\PGL(2,11)$	$5280$	5280.a1.a1	$1$	2640.a1.a1	$2$	$2640$	$2$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
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Results (33 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
5280.m.1a	$1$	R		$1$	\(\Q\)	5280.m.1a	$C_2^2.\PGL(2,11)$	$C_1$	$1$	1.a1.a1	$5280$	1.a1.a1	$5280$	$1$	$1$
5280.m.1b	$1$	R		$1$	\(\Q\)	5280.m.1b	$C_2^2.\PGL(2,11)$	$C_2$	$2$	2.c1.a1	$2640$	1.a1.a1	$5280$	$1$	$1$
5280.m.1c	$1$	R		$1$	\(\Q\)	5280.m.1c	$C_2^2.\PGL(2,11)$	$C_2$	$2$	2.b1.a1	$2640$	1.a1.a1	$5280$	$1$	$1$
5280.m.1d	$1$	R		$1$	\(\Q\)	5280.m.1d	$C_2^2.\PGL(2,11)$	$C_2$	$2$	2.a1.a1	$2640$	1.a1.a1	$5280$	$1$	$1$
5280.m.10a	$10$	R		$1$	\(\Q\)	5280.m.10a	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10b	$10$	R		$1$	\(\Q\)	5280.m.10b	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10c	$10$	R		$1$	\(\Q\)	5280.m.10c	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10d	$10$	R		$1$	\(\Q\)	5280.m.10d	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10e	$10$	R		$1$	\(\Q\)	5280.m.10e	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10f	$10$	R		$1$	\(\Q\)	5280.m.10f	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10g1	$10$	R		$12$	\(\Q(\sqrt{3}) \)	5280.m.10g	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10g2	$10$	R		$12$	\(\Q(\sqrt{3}) \)	5280.m.10g	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10h1	$10$	R		$12$	\(\Q(\sqrt{3}) \)	5280.m.10h	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.10h2	$10$	R		$12$	\(\Q(\sqrt{3}) \)	5280.m.10h	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.11a	$11$	R		$1$	\(\Q\)	5280.m.11a	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.11b	$11$	R		$1$	\(\Q\)	5280.m.11b	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.11c	$11$	R		$1$	\(\Q\)	5280.m.11c	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.11d	$11$	R		$1$	\(\Q\)	5280.m.11d	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.12a1	$12$	C	✓	$11$	\(\Q(\sqrt{-11}) \)	5280.m.12a	$C_2^2.\PGL(2,11)$	$C_2^2.\PGL(2,11)$	$5280$	5280.a1.a1	$1$	2640.a1.a1	$2$	$2640$	$1$
5280.m.12a2	$12$	C	✓	$11$	\(\Q(\sqrt{-11}) \)	5280.m.12a	$C_2^2.\PGL(2,11)$	$C_2^2.\PGL(2,11)$	$5280$	5280.a1.a1	$1$	2640.a1.a1	$2$	$2640$	$1$
5280.m.12b1	$12$	R		$5$	\(\Q(\sqrt{5}) \)	5280.m.12b	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.12b2	$12$	R		$5$	\(\Q(\sqrt{5}) \)	5280.m.12b	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.12c1	$12$	R		$5$	\(\Q(\sqrt{5}) \)	5280.m.12c	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.12c2	$12$	R		$5$	\(\Q(\sqrt{5}) \)	5280.m.12c	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.12d1	$12$	R		$5$	\(\Q(\sqrt{5}) \)	5280.m.12d	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.12d2	$12$	R		$5$	\(\Q(\sqrt{5}) \)	5280.m.12d	$C_2^2.\PGL(2,11)$	$C_2\times \PGL(2,11)$	$2640$	2640.a1.a1	$2$	1320.a1.a1	$4$	$1320$	$1$
5280.m.12e1	$12$	R		$5$	\(\Q(\sqrt{5}) \)	5280.m.12e	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.12e2	$12$	R		$5$	\(\Q(\sqrt{5}) \)	5280.m.12e	$C_2^2.\PGL(2,11)$	$\PGL(2,11)$	$1320$	1320.a1.a1	$4$	1320.a1.a1	$4$	$1320$	$1$
5280.m.20a	$20$	S	✓	$1$	\(\Q\)	5280.m.20a	$C_2^2.\PGL(2,11)$	$C_2^2.\PGL(2,11)$	$5280$	5280.a1.a1	$1$	2640.a1.a1	$2$	$2640$	$2$
5280.m.20b1	$20$	S	✓	$12$	\(\Q(\sqrt{3}) \)	5280.m.20b	$C_2^2.\PGL(2,11)$	$C_2^2.\PGL(2,11)$	$5280$	5280.a1.a1	$1$	2640.a1.a1	$2$	$2640$	$2$
5280.m.20b2	$20$	S	✓	$12$	\(\Q(\sqrt{3}) \)	5280.m.20b	$C_2^2.\PGL(2,11)$	$C_2^2.\PGL(2,11)$	$5280$	5280.a1.a1	$1$	2640.a1.a1	$2$	$2640$	$2$
5280.m.24a1	$24$	S	✓	$5$	\(\Q(\sqrt{5}) \)	5280.m.24a	$C_2^2.\PGL(2,11)$	$C_2^2.\PGL(2,11)$	$5280$	5280.a1.a1	$1$	2640.a1.a1	$2$	$2640$	$2$
5280.m.24a2	$24$	S	✓	$5$	\(\Q(\sqrt{5}) \)	5280.m.24a	$C_2^2.\PGL(2,11)$	$C_2^2.\PGL(2,11)$	$5280$	5280.a1.a1	$1$	2640.a1.a1	$2$	$2640$	$2$