LMFDB - Complex character search results

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Degree	Type	Faithful	Conductor

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Results (29 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
110.5.1a	$1$	R		$1$	$\Q$	110.5.1a	$D_{55}$	$C_1$	$1$	1.a1.a1	$110$	1.a1.a1	$110$	$1$	$1$
110.5.1b	$1$	R		$1$	$\Q$	110.5.1b	$D_{55}$	$C_2$	$2$	2.a1.a1	$55$	1.a1.a1	$110$	$1$	$1$
110.5.2a1	$2$	R		$5$	$\Q(\sqrt{5}) $	110.5.2a	$D_{55}$	$D_5$	$10$	10.a1.a1	$11$	10.a1.a1	$11$	$10$	$1$
110.5.2a2	$2$	R		$5$	$\Q(\sqrt{5}) $	110.5.2a	$D_{55}$	$D_5$	$10$	10.a1.a1	$11$	10.a1.a1	$11$	$10$	$1$
110.5.2b1	$2$	R		$11$	$\Q(\zeta_{11})^+$	110.5.2b	$D_{55}$	$D_{11}$	$22$	22.a1.a1	$5$	22.a1.a1	$5$	$22$	$1$
110.5.2b2	$2$	R		$11$	$\Q(\zeta_{11})^+$	110.5.2b	$D_{55}$	$D_{11}$	$22$	22.a1.a1	$5$	22.a1.a1	$5$	$22$	$1$
110.5.2b3	$2$	R		$11$	$\Q(\zeta_{11})^+$	110.5.2b	$D_{55}$	$D_{11}$	$22$	22.a1.a1	$5$	22.a1.a1	$5$	$22$	$1$
110.5.2b4	$2$	R		$11$	$\Q(\zeta_{11})^+$	110.5.2b	$D_{55}$	$D_{11}$	$22$	22.a1.a1	$5$	22.a1.a1	$5$	$22$	$1$
110.5.2b5	$2$	R		$11$	$\Q(\zeta_{11})^+$	110.5.2b	$D_{55}$	$D_{11}$	$22$	22.a1.a1	$5$	22.a1.a1	$5$	$22$	$1$
110.5.2c1	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c10	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c11	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c12	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c13	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c14	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c15	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c16	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c17	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c18	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c19	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c2	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c20	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c3	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c4	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c5	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c6	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c7	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c8	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c9	$2$	R	✓	$55$	$\Q(\zeta_{55})^+$	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$

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Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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Results (29 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
110.5.1a	$1$	R		$1$	\(\Q\)	110.5.1a	$D_{55}$	$C_1$	$1$	1.a1.a1	$110$	1.a1.a1	$110$	$1$	$1$
110.5.1b	$1$	R		$1$	\(\Q\)	110.5.1b	$D_{55}$	$C_2$	$2$	2.a1.a1	$55$	1.a1.a1	$110$	$1$	$1$
110.5.2a1	$2$	R		$5$	\(\Q(\sqrt{5}) \)	110.5.2a	$D_{55}$	$D_5$	$10$	10.a1.a1	$11$	10.a1.a1	$11$	$10$	$1$
110.5.2a2	$2$	R		$5$	\(\Q(\sqrt{5}) \)	110.5.2a	$D_{55}$	$D_5$	$10$	10.a1.a1	$11$	10.a1.a1	$11$	$10$	$1$
110.5.2b1	$2$	R		$11$	\(\Q(\zeta_{11})^+\)	110.5.2b	$D_{55}$	$D_{11}$	$22$	22.a1.a1	$5$	22.a1.a1	$5$	$22$	$1$
110.5.2b2	$2$	R		$11$	\(\Q(\zeta_{11})^+\)	110.5.2b	$D_{55}$	$D_{11}$	$22$	22.a1.a1	$5$	22.a1.a1	$5$	$22$	$1$
110.5.2b3	$2$	R		$11$	\(\Q(\zeta_{11})^+\)	110.5.2b	$D_{55}$	$D_{11}$	$22$	22.a1.a1	$5$	22.a1.a1	$5$	$22$	$1$
110.5.2b4	$2$	R		$11$	\(\Q(\zeta_{11})^+\)	110.5.2b	$D_{55}$	$D_{11}$	$22$	22.a1.a1	$5$	22.a1.a1	$5$	$22$	$1$
110.5.2b5	$2$	R		$11$	\(\Q(\zeta_{11})^+\)	110.5.2b	$D_{55}$	$D_{11}$	$22$	22.a1.a1	$5$	22.a1.a1	$5$	$22$	$1$
110.5.2c1	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c10	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c11	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c12	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c13	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c14	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c15	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c16	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c17	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c18	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c19	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c2	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c20	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c3	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c4	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c5	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c6	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c7	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c8	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$
110.5.2c9	$2$	R	✓	$55$	\(\Q(\zeta_{55})^+\)	110.5.2c	$D_{55}$	$D_{55}$	$110$	110.a1.a1	$1$	110.a1.a1	$1$	$110$	$1$