LMFDB - Complex character search results

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Degree	Type	Faithful	Conductor

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Results (39 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.r.1a	$1$	R		$1$	$\Q$	5280.r.1a	$\SL(2,11):C_2^2$	$C_1$	$1$	1.a1	$5280$	1.a1	$5280$	$1$	$1$
5280.r.1b	$1$	R		$1$	$\Q$	5280.r.1b	$\SL(2,11):C_2^2$	$C_2$	$2$	2.a1	$2640$	1.a1	$5280$	$1$	$1$
5280.r.1c	$1$	R		$1$	$\Q$	5280.r.1c	$\SL(2,11):C_2^2$	$C_2$	$2$	2.a1	$2640$	1.a1	$5280$	$1$	$1$
5280.r.1d	$1$	R		$1$	$\Q$	5280.r.1d	$\SL(2,11):C_2^2$	$C_2$	$2$	2.a1	$2640$	1.a1	$5280$	$1$	$1$
5280.r.5a1	$5$	C		$11$	$\Q(\sqrt{-11}) $	5280.r.5a	$\SL(2,11):C_2^2$	$\PSL(2,11)$	$660$	660.a1	$8$	660.a1	$8$	$660$	$1$
5280.r.5a2	$5$	C		$11$	$\Q(\sqrt{-11}) $	5280.r.5a	$\SL(2,11):C_2^2$	$\PSL(2,11)$	$660$	660.a1	$8$	660.a1	$8$	$660$	$1$
5280.r.5b1	$5$	C		$11$	$\Q(\sqrt{-11}) $	5280.r.5b	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.5b2	$5$	C		$11$	$\Q(\sqrt{-11}) $	5280.r.5b	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.5c1	$5$	C		$11$	$\Q(\sqrt{-11}) $	5280.r.5c	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.5c2	$5$	C		$11$	$\Q(\sqrt{-11}) $	5280.r.5c	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.5d1	$5$	C		$11$	$\Q(\sqrt{-11}) $	5280.r.5d	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.5d2	$5$	C		$11$	$\Q(\sqrt{-11}) $	5280.r.5d	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.10a	$10$	R		$1$	$\Q$	5280.r.10a	$\SL(2,11):C_2^2$	$\PSL(2,11)$	$660$	660.a1	$8$	660.a1	$8$	$660$	$1$
5280.r.10b	$10$	R		$1$	$\Q$	5280.r.10b	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.10c	$10$	R		$1$	$\Q$	5280.r.10c	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.10d	$10$	R		$1$	$\Q$	5280.r.10d	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.10e	$10$	R		$1$	$\Q$	5280.r.10e	$\SL(2,11):C_2^2$	$\PSL(2,11)$	$660$	660.a1	$8$	660.a1	$8$	$660$	$1$
5280.r.10f	$10$	R		$1$	$\Q$	5280.r.10f	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.10g	$10$	R		$1$	$\Q$	5280.r.10g	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.10h	$10$	R		$1$	$\Q$	5280.r.10h	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.11a	$11$	R		$1$	$\Q$	5280.r.11a	$\SL(2,11):C_2^2$	$\PSL(2,11)$	$660$	660.a1	$8$	660.a1	$8$	$660$	$1$
5280.r.11b	$11$	R		$1$	$\Q$	5280.r.11b	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.11c	$11$	R		$1$	$\Q$	5280.r.11c	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.11d	$11$	R		$1$	$\Q$	5280.r.11d	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.12a1	$12$	R		$5$	$\Q(\sqrt{5}) $	5280.r.12a	$\SL(2,11):C_2^2$	$\PSL(2,11)$	$660$	660.a1	$8$	660.a1	$8$	$660$	$1$
5280.r.12a2	$12$	R		$5$	$\Q(\sqrt{5}) $	5280.r.12a	$\SL(2,11):C_2^2$	$\PSL(2,11)$	$660$	660.a1	$8$	660.a1	$8$	$660$	$1$
5280.r.12b1	$12$	C	✓	$11$	$\Q(\sqrt{-11}) $	5280.r.12b	$\SL(2,11):C_2^2$	$\SL(2,11):C_2^2$	$5280$	5280.a1	$1$	2640.a1	$2$	$2640$	$1$
5280.r.12b2	$12$	C	✓	$11$	$\Q(\sqrt{-11}) $	5280.r.12b	$\SL(2,11):C_2^2$	$\SL(2,11):C_2^2$	$5280$	5280.a1	$1$	2640.a1	$2$	$2640$	$1$
5280.r.12c1	$12$	R		$5$	$\Q(\sqrt{5}) $	5280.r.12c	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.12c2	$12$	R		$5$	$\Q(\sqrt{5}) $	5280.r.12c	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.12d1	$12$	R		$5$	$\Q(\sqrt{5}) $	5280.r.12d	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.12d2	$12$	R		$5$	$\Q(\sqrt{5}) $	5280.r.12d	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.12e1	$12$	R		$5$	$\Q(\sqrt{5}) $	5280.r.12e	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.12e2	$12$	R		$5$	$\Q(\sqrt{5}) $	5280.r.12e	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.20a	$20$	R	✓	$1$	$\Q$	5280.r.20a	$\SL(2,11):C_2^2$	$\SL(2,11):C_2^2$	$5280$	5280.a1	$1$	2640.a1	$2$	$2640$	$1$
5280.r.20b1	$20$	R	✓	$12$	$\Q(\sqrt{3}) $	5280.r.20b	$\SL(2,11):C_2^2$	$\SL(2,11):C_2^2$	$5280$	5280.a1	$1$	2640.a1	$2$	$2640$	$1$
5280.r.20b2	$20$	R	✓	$12$	$\Q(\sqrt{3}) $	5280.r.20b	$\SL(2,11):C_2^2$	$\SL(2,11):C_2^2$	$5280$	5280.a1	$1$	2640.a1	$2$	$2640$	$1$
5280.r.24a1	$24$	R	✓	$5$	$\Q(\sqrt{5}) $	5280.r.24a	$\SL(2,11):C_2^2$	$\SL(2,11):C_2^2$	$5280$	5280.a1	$1$	2640.a1	$2$	$2640$	$1$
5280.r.24a2	$24$	R	✓	$5$	$\Q(\sqrt{5}) $	5280.r.24a	$\SL(2,11):C_2^2$	$\SL(2,11):C_2^2$	$5280$	5280.a1	$1$	2640.a1	$2$	$2640$	$1$

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Elliptic curves over $\Q$
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Results (39 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.r.1a	$1$	R		$1$	\(\Q\)	5280.r.1a	$\SL(2,11):C_2^2$	$C_1$	$1$	1.a1	$5280$	1.a1	$5280$	$1$	$1$
5280.r.1b	$1$	R		$1$	\(\Q\)	5280.r.1b	$\SL(2,11):C_2^2$	$C_2$	$2$	2.a1	$2640$	1.a1	$5280$	$1$	$1$
5280.r.1c	$1$	R		$1$	\(\Q\)	5280.r.1c	$\SL(2,11):C_2^2$	$C_2$	$2$	2.a1	$2640$	1.a1	$5280$	$1$	$1$
5280.r.1d	$1$	R		$1$	\(\Q\)	5280.r.1d	$\SL(2,11):C_2^2$	$C_2$	$2$	2.a1	$2640$	1.a1	$5280$	$1$	$1$
5280.r.5a1	$5$	C		$11$	\(\Q(\sqrt{-11}) \)	5280.r.5a	$\SL(2,11):C_2^2$	$\PSL(2,11)$	$660$	660.a1	$8$	660.a1	$8$	$660$	$1$
5280.r.5a2	$5$	C		$11$	\(\Q(\sqrt{-11}) \)	5280.r.5a	$\SL(2,11):C_2^2$	$\PSL(2,11)$	$660$	660.a1	$8$	660.a1	$8$	$660$	$1$
5280.r.5b1	$5$	C		$11$	\(\Q(\sqrt{-11}) \)	5280.r.5b	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.5b2	$5$	C		$11$	\(\Q(\sqrt{-11}) \)	5280.r.5b	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.5c1	$5$	C		$11$	\(\Q(\sqrt{-11}) \)	5280.r.5c	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.5c2	$5$	C		$11$	\(\Q(\sqrt{-11}) \)	5280.r.5c	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.5d1	$5$	C		$11$	\(\Q(\sqrt{-11}) \)	5280.r.5d	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.5d2	$5$	C		$11$	\(\Q(\sqrt{-11}) \)	5280.r.5d	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.10a	$10$	R		$1$	\(\Q\)	5280.r.10a	$\SL(2,11):C_2^2$	$\PSL(2,11)$	$660$	660.a1	$8$	660.a1	$8$	$660$	$1$
5280.r.10b	$10$	R		$1$	\(\Q\)	5280.r.10b	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.10c	$10$	R		$1$	\(\Q\)	5280.r.10c	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.10d	$10$	R		$1$	\(\Q\)	5280.r.10d	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.10e	$10$	R		$1$	\(\Q\)	5280.r.10e	$\SL(2,11):C_2^2$	$\PSL(2,11)$	$660$	660.a1	$8$	660.a1	$8$	$660$	$1$
5280.r.10f	$10$	R		$1$	\(\Q\)	5280.r.10f	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.10g	$10$	R		$1$	\(\Q\)	5280.r.10g	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.10h	$10$	R		$1$	\(\Q\)	5280.r.10h	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.11a	$11$	R		$1$	\(\Q\)	5280.r.11a	$\SL(2,11):C_2^2$	$\PSL(2,11)$	$660$	660.a1	$8$	660.a1	$8$	$660$	$1$
5280.r.11b	$11$	R		$1$	\(\Q\)	5280.r.11b	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.11c	$11$	R		$1$	\(\Q\)	5280.r.11c	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.11d	$11$	R		$1$	\(\Q\)	5280.r.11d	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.12a1	$12$	R		$5$	\(\Q(\sqrt{5}) \)	5280.r.12a	$\SL(2,11):C_2^2$	$\PSL(2,11)$	$660$	660.a1	$8$	660.a1	$8$	$660$	$1$
5280.r.12a2	$12$	R		$5$	\(\Q(\sqrt{5}) \)	5280.r.12a	$\SL(2,11):C_2^2$	$\PSL(2,11)$	$660$	660.a1	$8$	660.a1	$8$	$660$	$1$
5280.r.12b1	$12$	C	✓	$11$	\(\Q(\sqrt{-11}) \)	5280.r.12b	$\SL(2,11):C_2^2$	$\SL(2,11):C_2^2$	$5280$	5280.a1	$1$	2640.a1	$2$	$2640$	$1$
5280.r.12b2	$12$	C	✓	$11$	\(\Q(\sqrt{-11}) \)	5280.r.12b	$\SL(2,11):C_2^2$	$\SL(2,11):C_2^2$	$5280$	5280.a1	$1$	2640.a1	$2$	$2640$	$1$
5280.r.12c1	$12$	R		$5$	\(\Q(\sqrt{5}) \)	5280.r.12c	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.12c2	$12$	R		$5$	\(\Q(\sqrt{5}) \)	5280.r.12c	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.12d1	$12$	R		$5$	\(\Q(\sqrt{5}) \)	5280.r.12d	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.12d2	$12$	R		$5$	\(\Q(\sqrt{5}) \)	5280.r.12d	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.12e1	$12$	R		$5$	\(\Q(\sqrt{5}) \)	5280.r.12e	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.12e2	$12$	R		$5$	\(\Q(\sqrt{5}) \)	5280.r.12e	$\SL(2,11):C_2^2$	$C_2\times \PSL(2,11)$	$1320$	1320.a1	$4$	660.a1	$8$	$660$	$1$
5280.r.20a	$20$	R	✓	$1$	\(\Q\)	5280.r.20a	$\SL(2,11):C_2^2$	$\SL(2,11):C_2^2$	$5280$	5280.a1	$1$	2640.a1	$2$	$2640$	$1$
5280.r.20b1	$20$	R	✓	$12$	\(\Q(\sqrt{3}) \)	5280.r.20b	$\SL(2,11):C_2^2$	$\SL(2,11):C_2^2$	$5280$	5280.a1	$1$	2640.a1	$2$	$2640$	$1$
5280.r.20b2	$20$	R	✓	$12$	\(\Q(\sqrt{3}) \)	5280.r.20b	$\SL(2,11):C_2^2$	$\SL(2,11):C_2^2$	$5280$	5280.a1	$1$	2640.a1	$2$	$2640$	$1$
5280.r.24a1	$24$	R	✓	$5$	\(\Q(\sqrt{5}) \)	5280.r.24a	$\SL(2,11):C_2^2$	$\SL(2,11):C_2^2$	$5280$	5280.a1	$1$	2640.a1	$2$	$2640$	$1$
5280.r.24a2	$24$	R	✓	$5$	\(\Q(\sqrt{5}) \)	5280.r.24a	$\SL(2,11):C_2^2$	$\SL(2,11):C_2^2$	$5280$	5280.a1	$1$	2640.a1	$2$	$2640$	$1$