LMFDB - Complex character search results

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Results (45 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
17496.qe.1a	$1$	R		$1$	$\Q$	17496.qe.1a	$C_3^5:\PSU(3,2)$	$C_1$	$1$	1.a1	$17496$	1.a1	$17496$	$1$	$1$
17496.qe.1b	$1$	R		$1$	$\Q$	17496.qe.1b	$C_3^5:\PSU(3,2)$	$C_2$	$2$	2.a1	$8748$	1.a1	$17496$	$1$	$1$
17496.qe.1c	$1$	R		$1$	$\Q$	17496.qe.1c	$C_3^5:\PSU(3,2)$	$C_2$	$2$	2.a1	$8748$	1.a1	$17496$	$1$	$1$
17496.qe.1d	$1$	R		$1$	$\Q$	17496.qe.1d	$C_3^5:\PSU(3,2)$	$C_2$	$2$	2.a1	$8748$	1.a1	$17496$	$1$	$1$
17496.qe.2a	$2$	S		$1$	$\Q$	17496.qe.2a	$C_3^5:\PSU(3,2)$	$Q_8$	$8$	8.a1	$2187$	4.a1	$4374$	$4$	$2$
17496.qe.8a	$8$	R		$1$	$\Q$	17496.qe.8a	$C_3^5:\PSU(3,2)$	$\PSU(3,2)$	$72$	72.a1	$243$	72.a1	$243$	$72$	$1$
17496.qe.8b	$8$	R		$1$	$\Q$	17496.qe.8b	$C_3^5:\PSU(3,2)$	$\PSU(3,2)$	$72$	72.a1	$243$	72.a1	$243$	$72$	$1$
17496.qe.8c	$8$	R		$1$	$\Q$	17496.qe.8c	$C_3^5:\PSU(3,2)$	$\PSU(3,2)$	$72$	72.a1	$243$	72.a1	$243$	$72$	$1$
17496.qe.8d	$8$	R		$1$	$\Q$	17496.qe.8d	$C_3^5:\PSU(3,2)$	$\PSU(3,2)$	$72$	72.a1	$243$	72.a1	$243$	$72$	$1$
17496.qe.8e	$8$	R		$1$	$\Q$	17496.qe.8e	$C_3^5:\PSU(3,2)$	$C_3^4:Q_8$	$648$	648.a1	$27$	648.a1	$27$	$648$	$1$
17496.qe.8f	$8$	R		$1$	$\Q$	17496.qe.8f	$C_3^5:\PSU(3,2)$	$C_3^4:Q_8$	$648$	648.a1	$27$	648.a1	$27$	$648$	$1$
17496.qe.8g	$8$	R		$1$	$\Q$	17496.qe.8g	$C_3^5:\PSU(3,2)$	$C_3^4:Q_8$	$648$	648.a1	$27$	648.a1	$27$	$648$	$1$
17496.qe.8h	$8$	R		$1$	$\Q$	17496.qe.8h	$C_3^5:\PSU(3,2)$	$C_3^4:Q_8$	$648$	648.a1	$27$	648.a1	$27$	$648$	$1$
17496.qe.8i	$8$	R		$1$	$\Q$	17496.qe.8i	$C_3^5:\PSU(3,2)$	$C_3^4:Q_8$	$648$	648.a1	$27$	648.a1	$27$	$648$	$1$
17496.qe.8j	$8$	R		$1$	$\Q$	17496.qe.8j	$C_3^5:\PSU(3,2)$	$C_3^4:Q_8$	$648$	648.a1	$27$	648.a1	$27$	$648$	$1$
17496.qe.12a1	$12$	C	✓	$3$	$\Q(\sqrt{-3}) $	17496.qe.12a	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.12a2	$12$	C	✓	$3$	$\Q(\sqrt{-3}) $	17496.qe.12a	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.12b1	$12$	C	✓	$3$	$\Q(\sqrt{-3}) $	17496.qe.12b	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.12b2	$12$	C	✓	$3$	$\Q(\sqrt{-3}) $	17496.qe.12b	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.18a	$18$	R		$1$	$\Q$	17496.qe.18a	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$1$
17496.qe.18b	$18$	R		$1$	$\Q$	17496.qe.18b	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$1$
17496.qe.18c	$18$	R		$1$	$\Q$	17496.qe.18c	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$1$
17496.qe.18d	$18$	R		$1$	$\Q$	17496.qe.18d	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$1$
17496.qe.18e	$18$	R		$1$	$\Q$	17496.qe.18e	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$1$
17496.qe.18f	$18$	R		$1$	$\Q$	17496.qe.18f	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$1$
17496.qe.18g1	$18$	S		$12$	$\Q(\sqrt{3}) $	17496.qe.18g	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$2$
17496.qe.18g2	$18$	S		$12$	$\Q(\sqrt{3}) $	17496.qe.18g	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$2$
17496.qe.18h1	$18$	S		$12$	$\Q(\sqrt{3}) $	17496.qe.18h	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$2$
17496.qe.18h2	$18$	S		$12$	$\Q(\sqrt{3}) $	17496.qe.18h	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$2$
17496.qe.18i1	$18$	S		$12$	$\Q(\sqrt{3}) $	17496.qe.18i	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$2$
17496.qe.18i2	$18$	S		$12$	$\Q(\sqrt{3}) $	17496.qe.18i	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$2$
17496.qe.24a1	$24$	C	✓	$3$	$\Q(\sqrt{-3}) $	17496.qe.24a	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.24a2	$24$	C	✓	$3$	$\Q(\sqrt{-3}) $	17496.qe.24a	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.24b1	$24$	C	✓	$3$	$\Q(\sqrt{-3}) $	17496.qe.24b	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.24b2	$24$	C	✓	$3$	$\Q(\sqrt{-3}) $	17496.qe.24b	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.24c1	$24$	C	✓	$3$	$\Q(\sqrt{-3}) $	17496.qe.24c	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.24c2	$24$	C	✓	$3$	$\Q(\sqrt{-3}) $	17496.qe.24c	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.24d1	$24$	C	✓	$3$	$\Q(\sqrt{-3}) $	17496.qe.24d	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.24d2	$24$	C	✓	$3$	$\Q(\sqrt{-3}) $	17496.qe.24d	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.36a	$36$	R		$1$	$\Q$	17496.qe.36a	$C_3^5:\PSU(3,2)$		$5832$	5832.a1	$3$	5832.a1	$3$	$5832$	$1$
17496.qe.36b	$36$	R		$1$	$\Q$	17496.qe.36b	$C_3^5:\PSU(3,2)$		$5832$	5832.a1	$3$	5832.a1	$3$	$5832$	$1$
17496.qe.36c	$36$	R		$1$	$\Q$	17496.qe.36c	$C_3^5:\PSU(3,2)$		$5832$	5832.a1	$3$	5832.a1	$3$	$5832$	$1$
17496.qe.36d	$36$	S		$1$	$\Q$	17496.qe.36d	$C_3^5:\PSU(3,2)$		$5832$	5832.a1	$3$	5832.a1	$3$	$5832$	$2$
17496.qe.36e	$36$	S		$1$	$\Q$	17496.qe.36e	$C_3^5:\PSU(3,2)$		$5832$	5832.a1	$3$	5832.a1	$3$	$5832$	$2$
17496.qe.36f	$36$	S		$1$	$\Q$	17496.qe.36f	$C_3^5:\PSU(3,2)$		$5832$	5832.a1	$3$	5832.a1	$3$	$5832$	$2$

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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
Abelian varieties over $\F_{q}$
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Results (45 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
17496.qe.1a	$1$	R		$1$	\(\Q\)	17496.qe.1a	$C_3^5:\PSU(3,2)$	$C_1$	$1$	1.a1	$17496$	1.a1	$17496$	$1$	$1$
17496.qe.1b	$1$	R		$1$	\(\Q\)	17496.qe.1b	$C_3^5:\PSU(3,2)$	$C_2$	$2$	2.a1	$8748$	1.a1	$17496$	$1$	$1$
17496.qe.1c	$1$	R		$1$	\(\Q\)	17496.qe.1c	$C_3^5:\PSU(3,2)$	$C_2$	$2$	2.a1	$8748$	1.a1	$17496$	$1$	$1$
17496.qe.1d	$1$	R		$1$	\(\Q\)	17496.qe.1d	$C_3^5:\PSU(3,2)$	$C_2$	$2$	2.a1	$8748$	1.a1	$17496$	$1$	$1$
17496.qe.2a	$2$	S		$1$	\(\Q\)	17496.qe.2a	$C_3^5:\PSU(3,2)$	$Q_8$	$8$	8.a1	$2187$	4.a1	$4374$	$4$	$2$
17496.qe.8a	$8$	R		$1$	\(\Q\)	17496.qe.8a	$C_3^5:\PSU(3,2)$	$\PSU(3,2)$	$72$	72.a1	$243$	72.a1	$243$	$72$	$1$
17496.qe.8b	$8$	R		$1$	\(\Q\)	17496.qe.8b	$C_3^5:\PSU(3,2)$	$\PSU(3,2)$	$72$	72.a1	$243$	72.a1	$243$	$72$	$1$
17496.qe.8c	$8$	R		$1$	\(\Q\)	17496.qe.8c	$C_3^5:\PSU(3,2)$	$\PSU(3,2)$	$72$	72.a1	$243$	72.a1	$243$	$72$	$1$
17496.qe.8d	$8$	R		$1$	\(\Q\)	17496.qe.8d	$C_3^5:\PSU(3,2)$	$\PSU(3,2)$	$72$	72.a1	$243$	72.a1	$243$	$72$	$1$
17496.qe.8e	$8$	R		$1$	\(\Q\)	17496.qe.8e	$C_3^5:\PSU(3,2)$	$C_3^4:Q_8$	$648$	648.a1	$27$	648.a1	$27$	$648$	$1$
17496.qe.8f	$8$	R		$1$	\(\Q\)	17496.qe.8f	$C_3^5:\PSU(3,2)$	$C_3^4:Q_8$	$648$	648.a1	$27$	648.a1	$27$	$648$	$1$
17496.qe.8g	$8$	R		$1$	\(\Q\)	17496.qe.8g	$C_3^5:\PSU(3,2)$	$C_3^4:Q_8$	$648$	648.a1	$27$	648.a1	$27$	$648$	$1$
17496.qe.8h	$8$	R		$1$	\(\Q\)	17496.qe.8h	$C_3^5:\PSU(3,2)$	$C_3^4:Q_8$	$648$	648.a1	$27$	648.a1	$27$	$648$	$1$
17496.qe.8i	$8$	R		$1$	\(\Q\)	17496.qe.8i	$C_3^5:\PSU(3,2)$	$C_3^4:Q_8$	$648$	648.a1	$27$	648.a1	$27$	$648$	$1$
17496.qe.8j	$8$	R		$1$	\(\Q\)	17496.qe.8j	$C_3^5:\PSU(3,2)$	$C_3^4:Q_8$	$648$	648.a1	$27$	648.a1	$27$	$648$	$1$
17496.qe.12a1	$12$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	17496.qe.12a	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.12a2	$12$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	17496.qe.12a	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.12b1	$12$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	17496.qe.12b	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.12b2	$12$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	17496.qe.12b	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.18a	$18$	R		$1$	\(\Q\)	17496.qe.18a	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$1$
17496.qe.18b	$18$	R		$1$	\(\Q\)	17496.qe.18b	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$1$
17496.qe.18c	$18$	R		$1$	\(\Q\)	17496.qe.18c	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$1$
17496.qe.18d	$18$	R		$1$	\(\Q\)	17496.qe.18d	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$1$
17496.qe.18e	$18$	R		$1$	\(\Q\)	17496.qe.18e	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$1$
17496.qe.18f	$18$	R		$1$	\(\Q\)	17496.qe.18f	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$1$
17496.qe.18g1	$18$	S		$12$	\(\Q(\sqrt{3}) \)	17496.qe.18g	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$2$
17496.qe.18g2	$18$	S		$12$	\(\Q(\sqrt{3}) \)	17496.qe.18g	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$2$
17496.qe.18h1	$18$	S		$12$	\(\Q(\sqrt{3}) \)	17496.qe.18h	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$2$
17496.qe.18h2	$18$	S		$12$	\(\Q(\sqrt{3}) \)	17496.qe.18h	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$2$
17496.qe.18i1	$18$	S		$12$	\(\Q(\sqrt{3}) \)	17496.qe.18i	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$2$
17496.qe.18i2	$18$	S		$12$	\(\Q(\sqrt{3}) \)	17496.qe.18i	$C_3^5:\PSU(3,2)$	$C_3^3:\PSU(3,2)$	$1944$	1944.a1	$9$	1944.a1	$9$	$1944$	$2$
17496.qe.24a1	$24$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	17496.qe.24a	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.24a2	$24$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	17496.qe.24a	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.24b1	$24$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	17496.qe.24b	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.24b2	$24$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	17496.qe.24b	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.24c1	$24$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	17496.qe.24c	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.24c2	$24$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	17496.qe.24c	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.24d1	$24$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	17496.qe.24d	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.24d2	$24$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	17496.qe.24d	$C_3^5:\PSU(3,2)$	$C_3^5:\PSU(3,2)$	$17496$	17496.a1	$1$	17496.a1	$1$	$17496$	$1$
17496.qe.36a	$36$	R		$1$	\(\Q\)	17496.qe.36a	$C_3^5:\PSU(3,2)$		$5832$	5832.a1	$3$	5832.a1	$3$	$5832$	$1$
17496.qe.36b	$36$	R		$1$	\(\Q\)	17496.qe.36b	$C_3^5:\PSU(3,2)$		$5832$	5832.a1	$3$	5832.a1	$3$	$5832$	$1$
17496.qe.36c	$36$	R		$1$	\(\Q\)	17496.qe.36c	$C_3^5:\PSU(3,2)$		$5832$	5832.a1	$3$	5832.a1	$3$	$5832$	$1$
17496.qe.36d	$36$	S		$1$	\(\Q\)	17496.qe.36d	$C_3^5:\PSU(3,2)$		$5832$	5832.a1	$3$	5832.a1	$3$	$5832$	$2$
17496.qe.36e	$36$	S		$1$	\(\Q\)	17496.qe.36e	$C_3^5:\PSU(3,2)$		$5832$	5832.a1	$3$	5832.a1	$3$	$5832$	$2$
17496.qe.36f	$36$	S		$1$	\(\Q\)	17496.qe.36f	$C_3^5:\PSU(3,2)$		$5832$	5832.a1	$3$	5832.a1	$3$	$5832$	$2$