LMFDB - Complex character search results

Refine search

Degree	Type	Faithful	Conductor

Group	Image	Image Order (Kernel Index)	Kernel Order

Center Order	Center Index

		Sort order	Select

Results (41 matches)

Download displayed columns for results to

Label	Degree	Type	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
7200.c.1a	$1$	R		$1$	$\Q$	7200.c.1a	$\OmegaPlus(4,5)$	$C_1$	$1$	1.a1.a1	$7200$	1.a1.a1	$7200$	$1$	$1$
7200.c.3a1	$3$	R		$5$	$\Q(\sqrt{5}) $	7200.c.3a	$\OmegaPlus(4,5)$	$A_5$	$60$	60.a1.b1	$120$	60.a1.b1	$120$	$60$	$1$
7200.c.3a2	$3$	R		$5$	$\Q(\sqrt{5}) $	7200.c.3a	$\OmegaPlus(4,5)$	$A_5$	$60$	60.a1.b1	$120$	60.a1.b1	$120$	$60$	$1$
7200.c.3b1	$3$	R		$5$	$\Q(\sqrt{5}) $	7200.c.3b	$\OmegaPlus(4,5)$	$A_5$	$60$	60.a1.a1	$120$	60.a1.a1	$120$	$60$	$1$
7200.c.3b2	$3$	R		$5$	$\Q(\sqrt{5}) $	7200.c.3b	$\OmegaPlus(4,5)$	$A_5$	$60$	60.a1.a1	$120$	60.a1.a1	$120$	$60$	$1$
7200.c.4a	$4$	R		$1$	$\Q$	7200.c.4a	$\OmegaPlus(4,5)$	$A_5$	$60$	60.a1.b1	$120$	60.a1.b1	$120$	$60$	$1$
7200.c.4b	$4$	R		$1$	$\Q$	7200.c.4b	$\OmegaPlus(4,5)$	$A_5$	$60$	60.a1.a1	$120$	60.a1.a1	$120$	$60$	$1$
7200.c.4c1	$4$	R	✓	$5$	$\Q(\sqrt{5}) $	7200.c.4c	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.4c2	$4$	R	✓	$5$	$\Q(\sqrt{5}) $	7200.c.4c	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.4d1	$4$	R	✓	$5$	$\Q(\sqrt{5}) $	7200.c.4d	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.4d2	$4$	R	✓	$5$	$\Q(\sqrt{5}) $	7200.c.4d	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.5a	$5$	R		$1$	$\Q$	7200.c.5a	$\OmegaPlus(4,5)$	$A_5$	$60$	60.a1.b1	$120$	60.a1.b1	$120$	$60$	$1$
7200.c.5b	$5$	R		$1$	$\Q$	7200.c.5b	$\OmegaPlus(4,5)$	$A_5$	$60$	60.a1.a1	$120$	60.a1.a1	$120$	$60$	$1$
7200.c.8a1	$8$	R	✓	$5$	$\Q(\sqrt{5}) $	7200.c.8a	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.8a2	$8$	R	✓	$5$	$\Q(\sqrt{5}) $	7200.c.8a	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.8b1	$8$	R	✓	$5$	$\Q(\sqrt{5}) $	7200.c.8b	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.8b2	$8$	R	✓	$5$	$\Q(\sqrt{5}) $	7200.c.8b	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.9a1	$9$	R		$5$	$\Q(\sqrt{5}) $	7200.c.9a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.9a2	$9$	R		$5$	$\Q(\sqrt{5}) $	7200.c.9a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.9b1	$9$	R		$5$	$\Q(\sqrt{5}) $	7200.c.9b	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.9b2	$9$	R		$5$	$\Q(\sqrt{5}) $	7200.c.9b	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.12a1	$12$	R		$5$	$\Q(\sqrt{5}) $	7200.c.12a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.12a2	$12$	R		$5$	$\Q(\sqrt{5}) $	7200.c.12a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.12b1	$12$	R		$5$	$\Q(\sqrt{5}) $	7200.c.12b	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.12b2	$12$	R		$5$	$\Q(\sqrt{5}) $	7200.c.12b	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.12c1	$12$	R	✓	$5$	$\Q(\sqrt{5}) $	7200.c.12c	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.12c2	$12$	R	✓	$5$	$\Q(\sqrt{5}) $	7200.c.12c	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.12d1	$12$	R	✓	$5$	$\Q(\sqrt{5}) $	7200.c.12d	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.12d2	$12$	R	✓	$5$	$\Q(\sqrt{5}) $	7200.c.12d	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.15a1	$15$	R		$5$	$\Q(\sqrt{5}) $	7200.c.15a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.15a2	$15$	R		$5$	$\Q(\sqrt{5}) $	7200.c.15a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.15b1	$15$	R		$5$	$\Q(\sqrt{5}) $	7200.c.15b	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.15b2	$15$	R		$5$	$\Q(\sqrt{5}) $	7200.c.15b	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.16a	$16$	R		$1$	$\Q$	7200.c.16a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.16b	$16$	R	✓	$1$	$\Q$	7200.c.16b	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.20a	$20$	R		$1$	$\Q$	7200.c.20a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.20b	$20$	R		$1$	$\Q$	7200.c.20b	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.24a	$24$	R	✓	$1$	$\Q$	7200.c.24a	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$2$
7200.c.24b	$24$	R	✓	$1$	$\Q$	7200.c.24b	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$2$
7200.c.25a	$25$	R		$1$	$\Q$	7200.c.25a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.36a	$36$	R	✓	$1$	$\Q$	7200.c.36a	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$

Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (41 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
7200.c.1a	$1$	R		$1$	\(\Q\)	7200.c.1a	$\OmegaPlus(4,5)$	$C_1$	$1$	1.a1.a1	$7200$	1.a1.a1	$7200$	$1$	$1$
7200.c.3a1	$3$	R		$5$	\(\Q(\sqrt{5}) \)	7200.c.3a	$\OmegaPlus(4,5)$	$A_5$	$60$	60.a1.b1	$120$	60.a1.b1	$120$	$60$	$1$
7200.c.3a2	$3$	R		$5$	\(\Q(\sqrt{5}) \)	7200.c.3a	$\OmegaPlus(4,5)$	$A_5$	$60$	60.a1.b1	$120$	60.a1.b1	$120$	$60$	$1$
7200.c.3b1	$3$	R		$5$	\(\Q(\sqrt{5}) \)	7200.c.3b	$\OmegaPlus(4,5)$	$A_5$	$60$	60.a1.a1	$120$	60.a1.a1	$120$	$60$	$1$
7200.c.3b2	$3$	R		$5$	\(\Q(\sqrt{5}) \)	7200.c.3b	$\OmegaPlus(4,5)$	$A_5$	$60$	60.a1.a1	$120$	60.a1.a1	$120$	$60$	$1$
7200.c.4a	$4$	R		$1$	\(\Q\)	7200.c.4a	$\OmegaPlus(4,5)$	$A_5$	$60$	60.a1.b1	$120$	60.a1.b1	$120$	$60$	$1$
7200.c.4b	$4$	R		$1$	\(\Q\)	7200.c.4b	$\OmegaPlus(4,5)$	$A_5$	$60$	60.a1.a1	$120$	60.a1.a1	$120$	$60$	$1$
7200.c.4c1	$4$	R	✓	$5$	\(\Q(\sqrt{5}) \)	7200.c.4c	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.4c2	$4$	R	✓	$5$	\(\Q(\sqrt{5}) \)	7200.c.4c	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.4d1	$4$	R	✓	$5$	\(\Q(\sqrt{5}) \)	7200.c.4d	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.4d2	$4$	R	✓	$5$	\(\Q(\sqrt{5}) \)	7200.c.4d	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.5a	$5$	R		$1$	\(\Q\)	7200.c.5a	$\OmegaPlus(4,5)$	$A_5$	$60$	60.a1.b1	$120$	60.a1.b1	$120$	$60$	$1$
7200.c.5b	$5$	R		$1$	\(\Q\)	7200.c.5b	$\OmegaPlus(4,5)$	$A_5$	$60$	60.a1.a1	$120$	60.a1.a1	$120$	$60$	$1$
7200.c.8a1	$8$	R	✓	$5$	\(\Q(\sqrt{5}) \)	7200.c.8a	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.8a2	$8$	R	✓	$5$	\(\Q(\sqrt{5}) \)	7200.c.8a	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.8b1	$8$	R	✓	$5$	\(\Q(\sqrt{5}) \)	7200.c.8b	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.8b2	$8$	R	✓	$5$	\(\Q(\sqrt{5}) \)	7200.c.8b	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.9a1	$9$	R		$5$	\(\Q(\sqrt{5}) \)	7200.c.9a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.9a2	$9$	R		$5$	\(\Q(\sqrt{5}) \)	7200.c.9a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.9b1	$9$	R		$5$	\(\Q(\sqrt{5}) \)	7200.c.9b	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.9b2	$9$	R		$5$	\(\Q(\sqrt{5}) \)	7200.c.9b	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.12a1	$12$	R		$5$	\(\Q(\sqrt{5}) \)	7200.c.12a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.12a2	$12$	R		$5$	\(\Q(\sqrt{5}) \)	7200.c.12a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.12b1	$12$	R		$5$	\(\Q(\sqrt{5}) \)	7200.c.12b	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.12b2	$12$	R		$5$	\(\Q(\sqrt{5}) \)	7200.c.12b	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.12c1	$12$	R	✓	$5$	\(\Q(\sqrt{5}) \)	7200.c.12c	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.12c2	$12$	R	✓	$5$	\(\Q(\sqrt{5}) \)	7200.c.12c	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.12d1	$12$	R	✓	$5$	\(\Q(\sqrt{5}) \)	7200.c.12d	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.12d2	$12$	R	✓	$5$	\(\Q(\sqrt{5}) \)	7200.c.12d	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.15a1	$15$	R		$5$	\(\Q(\sqrt{5}) \)	7200.c.15a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.15a2	$15$	R		$5$	\(\Q(\sqrt{5}) \)	7200.c.15a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.15b1	$15$	R		$5$	\(\Q(\sqrt{5}) \)	7200.c.15b	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.15b2	$15$	R		$5$	\(\Q(\sqrt{5}) \)	7200.c.15b	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.16a	$16$	R		$1$	\(\Q\)	7200.c.16a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.16b	$16$	R	✓	$1$	\(\Q\)	7200.c.16b	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$
7200.c.20a	$20$	R		$1$	\(\Q\)	7200.c.20a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.20b	$20$	R		$1$	\(\Q\)	7200.c.20b	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.24a	$24$	R	✓	$1$	\(\Q\)	7200.c.24a	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$2$
7200.c.24b	$24$	R	✓	$1$	\(\Q\)	7200.c.24b	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$2$
7200.c.25a	$25$	R		$1$	\(\Q\)	7200.c.25a	$\OmegaPlus(4,5)$	$A_5^2$	$3600$	3600.a1.a1	$2$	3600.a1.a1	$2$	$3600$	$1$
7200.c.36a	$36$	R	✓	$1$	\(\Q\)	7200.c.36a	$\OmegaPlus(4,5)$	$\OmegaPlus(4,5)$	$7200$	7200.a1.a1	$1$	3600.a1.a1	$2$	$3600$	$1$