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Results (26 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
512.1897.1a	$1$	R		$1$	$\Q$	512.1897.1a	$C_2^5.\SD_{16}$	$C_1$	$1$	1.a1.a1	$512$	1.a1.a1	$512$	$1$	$1$
512.1897.1b	$1$	R		$1$	$\Q$	512.1897.1b	$C_2^5.\SD_{16}$	$C_2$	$2$	2.c1.a1	$256$	1.a1.a1	$512$	$1$	$1$
512.1897.1c	$1$	R		$1$	$\Q$	512.1897.1c	$C_2^5.\SD_{16}$	$C_2$	$2$	2.a1.a1	$256$	1.a1.a1	$512$	$1$	$1$
512.1897.1d	$1$	R		$1$	$\Q$	512.1897.1d	$C_2^5.\SD_{16}$	$C_2$	$2$	2.b1.a1	$256$	1.a1.a1	$512$	$1$	$1$
512.1897.1e1	$1$	C		$4$	$\Q(\sqrt{-1}) $	512.1897.1e	$C_2^5.\SD_{16}$	$C_4$	$4$	4.b1.a1	$128$	1.a1.a1	$512$	$1$	$1$
512.1897.1e2	$1$	C		$4$	$\Q(\sqrt{-1}) $	512.1897.1e	$C_2^5.\SD_{16}$	$C_4$	$4$	4.b1.a1	$128$	1.a1.a1	$512$	$1$	$1$
512.1897.1f1	$1$	C		$4$	$\Q(\sqrt{-1}) $	512.1897.1f	$C_2^5.\SD_{16}$	$C_4$	$4$	4.c1.a1	$128$	1.a1.a1	$512$	$1$	$1$
512.1897.1f2	$1$	C		$4$	$\Q(\sqrt{-1}) $	512.1897.1f	$C_2^5.\SD_{16}$	$C_4$	$4$	4.c1.a1	$128$	1.a1.a1	$512$	$1$	$1$
512.1897.2a	$2$	R		$1$	$\Q$	512.1897.2a	$C_2^5.\SD_{16}$	$D_4$	$8$	8.b1.a1	$64$	4.a1.a1	$128$	$4$	$1$
512.1897.2b	$2$	R		$1$	$\Q$	512.1897.2b	$C_2^5.\SD_{16}$	$D_4$	$8$	8.a1.a1	$64$	4.a1.a1	$128$	$4$	$1$
512.1897.2c1	$2$	C		$8$	$\Q(\sqrt{-2}) $	512.1897.2c	$C_2^5.\SD_{16}$	$\SD_{16}$	$16$	16.b1.a1	$32$	8.a1.a1	$64$	$8$	$1$
512.1897.2c2	$2$	C		$8$	$\Q(\sqrt{-2}) $	512.1897.2c	$C_2^5.\SD_{16}$	$\SD_{16}$	$16$	16.b1.a1	$32$	8.a1.a1	$64$	$8$	$1$
512.1897.2d1	$2$	C		$4$	$\Q(\sqrt{-1}) $	512.1897.2d	$C_2^5.\SD_{16}$	$C_4\wr C_2$	$32$	32.c1.a1	$16$	8.b1.a1	$64$	$8$	$1$
512.1897.2d2	$2$	C		$4$	$\Q(\sqrt{-1}) $	512.1897.2d	$C_2^5.\SD_{16}$	$C_4\wr C_2$	$32$	32.c1.a1	$16$	8.b1.a1	$64$	$8$	$1$
512.1897.2e1	$2$	C		$4$	$\Q(\sqrt{-1}) $	512.1897.2e	$C_2^5.\SD_{16}$	$C_4\wr C_2$	$32$	32.c1.a1	$16$	8.b1.a1	$64$	$8$	$1$
512.1897.2e2	$2$	C		$4$	$\Q(\sqrt{-1}) $	512.1897.2e	$C_2^5.\SD_{16}$	$C_4\wr C_2$	$32$	32.c1.a1	$16$	8.b1.a1	$64$	$8$	$1$
512.1897.2f1	$2$	S		$8$	$\Q(\sqrt{2}) $	512.1897.2f	$C_2^5.\SD_{16}$	$Q_{16}$	$16$	16.c1.a1	$32$	8.a1.a1	$64$	$8$	$2$
512.1897.2f2	$2$	S		$8$	$\Q(\sqrt{2}) $	512.1897.2f	$C_2^5.\SD_{16}$	$Q_{16}$	$16$	16.c1.a1	$32$	8.a1.a1	$64$	$8$	$2$
512.1897.4a	$4$	R		$1$	$\Q$	512.1897.4a	$C_2^5.\SD_{16}$	$C_2^3:C_4$	$32$	32.a1.a1	$16$	16.a1.a1	$32$	$16$	$1$
512.1897.4b	$4$	R		$1$	$\Q$	512.1897.4b	$C_2^5.\SD_{16}$	$C_2\wr C_4$	$64$	64.b1.a1	$8$	32.a1.a1	$16$	$32$	$1$
512.1897.4c	$4$	R		$1$	$\Q$	512.1897.4c	$C_2^5.\SD_{16}$	$C_2\wr C_4$	$64$	64.b1.a1	$8$	32.a1.a1	$16$	$32$	$1$
512.1897.4d1	$4$	C		$4$	$\Q(\sqrt{-1}) $	512.1897.4d	$C_2^5.\SD_{16}$	$C_4^2:C_4$	$64$	64.c1.a1	$8$	32.a1.a1	$16$	$32$	$1$
512.1897.4d2	$4$	C		$4$	$\Q(\sqrt{-1}) $	512.1897.4d	$C_2^5.\SD_{16}$	$C_4^2:C_4$	$64$	64.c1.a1	$8$	32.a1.a1	$16$	$32$	$1$
512.1897.8a	$8$	R		$1$	$\Q$	512.1897.8a	$C_2^5.\SD_{16}$	$C_2^4.Q_{16}$	$256$	256.a1.a1	$2$	128.a1.a1	$4$	$128$	$1$
512.1897.8b	$8$	R		$1$	$\Q$	512.1897.8b	$C_2^5.\SD_{16}$	$C_2^4.Q_{16}$	$256$	256.a1.a1	$2$	128.a1.a1	$4$	$128$	$1$
512.1897.16a	$16$	R	✓	$1$	$\Q$	512.1897.16a	$C_2^5.\SD_{16}$	$C_2^5.\SD_{16}$	$512$	512.a1.a1	$1$	256.a1.a1	$2$	$256$	$1$

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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 (26 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
512.1897.1a	$1$	R		$1$	\(\Q\)	512.1897.1a	$C_2^5.\SD_{16}$	$C_1$	$1$	1.a1.a1	$512$	1.a1.a1	$512$	$1$	$1$
512.1897.1b	$1$	R		$1$	\(\Q\)	512.1897.1b	$C_2^5.\SD_{16}$	$C_2$	$2$	2.c1.a1	$256$	1.a1.a1	$512$	$1$	$1$
512.1897.1c	$1$	R		$1$	\(\Q\)	512.1897.1c	$C_2^5.\SD_{16}$	$C_2$	$2$	2.a1.a1	$256$	1.a1.a1	$512$	$1$	$1$
512.1897.1d	$1$	R		$1$	\(\Q\)	512.1897.1d	$C_2^5.\SD_{16}$	$C_2$	$2$	2.b1.a1	$256$	1.a1.a1	$512$	$1$	$1$
512.1897.1e1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	512.1897.1e	$C_2^5.\SD_{16}$	$C_4$	$4$	4.b1.a1	$128$	1.a1.a1	$512$	$1$	$1$
512.1897.1e2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	512.1897.1e	$C_2^5.\SD_{16}$	$C_4$	$4$	4.b1.a1	$128$	1.a1.a1	$512$	$1$	$1$
512.1897.1f1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	512.1897.1f	$C_2^5.\SD_{16}$	$C_4$	$4$	4.c1.a1	$128$	1.a1.a1	$512$	$1$	$1$
512.1897.1f2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	512.1897.1f	$C_2^5.\SD_{16}$	$C_4$	$4$	4.c1.a1	$128$	1.a1.a1	$512$	$1$	$1$
512.1897.2a	$2$	R		$1$	\(\Q\)	512.1897.2a	$C_2^5.\SD_{16}$	$D_4$	$8$	8.b1.a1	$64$	4.a1.a1	$128$	$4$	$1$
512.1897.2b	$2$	R		$1$	\(\Q\)	512.1897.2b	$C_2^5.\SD_{16}$	$D_4$	$8$	8.a1.a1	$64$	4.a1.a1	$128$	$4$	$1$
512.1897.2c1	$2$	C		$8$	\(\Q(\sqrt{-2}) \)	512.1897.2c	$C_2^5.\SD_{16}$	$\SD_{16}$	$16$	16.b1.a1	$32$	8.a1.a1	$64$	$8$	$1$
512.1897.2c2	$2$	C		$8$	\(\Q(\sqrt{-2}) \)	512.1897.2c	$C_2^5.\SD_{16}$	$\SD_{16}$	$16$	16.b1.a1	$32$	8.a1.a1	$64$	$8$	$1$
512.1897.2d1	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	512.1897.2d	$C_2^5.\SD_{16}$	$C_4\wr C_2$	$32$	32.c1.a1	$16$	8.b1.a1	$64$	$8$	$1$
512.1897.2d2	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	512.1897.2d	$C_2^5.\SD_{16}$	$C_4\wr C_2$	$32$	32.c1.a1	$16$	8.b1.a1	$64$	$8$	$1$
512.1897.2e1	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	512.1897.2e	$C_2^5.\SD_{16}$	$C_4\wr C_2$	$32$	32.c1.a1	$16$	8.b1.a1	$64$	$8$	$1$
512.1897.2e2	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	512.1897.2e	$C_2^5.\SD_{16}$	$C_4\wr C_2$	$32$	32.c1.a1	$16$	8.b1.a1	$64$	$8$	$1$
512.1897.2f1	$2$	S		$8$	\(\Q(\sqrt{2}) \)	512.1897.2f	$C_2^5.\SD_{16}$	$Q_{16}$	$16$	16.c1.a1	$32$	8.a1.a1	$64$	$8$	$2$
512.1897.2f2	$2$	S		$8$	\(\Q(\sqrt{2}) \)	512.1897.2f	$C_2^5.\SD_{16}$	$Q_{16}$	$16$	16.c1.a1	$32$	8.a1.a1	$64$	$8$	$2$
512.1897.4a	$4$	R		$1$	\(\Q\)	512.1897.4a	$C_2^5.\SD_{16}$	$C_2^3:C_4$	$32$	32.a1.a1	$16$	16.a1.a1	$32$	$16$	$1$
512.1897.4b	$4$	R		$1$	\(\Q\)	512.1897.4b	$C_2^5.\SD_{16}$	$C_2\wr C_4$	$64$	64.b1.a1	$8$	32.a1.a1	$16$	$32$	$1$
512.1897.4c	$4$	R		$1$	\(\Q\)	512.1897.4c	$C_2^5.\SD_{16}$	$C_2\wr C_4$	$64$	64.b1.a1	$8$	32.a1.a1	$16$	$32$	$1$
512.1897.4d1	$4$	C		$4$	\(\Q(\sqrt{-1}) \)	512.1897.4d	$C_2^5.\SD_{16}$	$C_4^2:C_4$	$64$	64.c1.a1	$8$	32.a1.a1	$16$	$32$	$1$
512.1897.4d2	$4$	C		$4$	\(\Q(\sqrt{-1}) \)	512.1897.4d	$C_2^5.\SD_{16}$	$C_4^2:C_4$	$64$	64.c1.a1	$8$	32.a1.a1	$16$	$32$	$1$
512.1897.8a	$8$	R		$1$	\(\Q\)	512.1897.8a	$C_2^5.\SD_{16}$	$C_2^4.Q_{16}$	$256$	256.a1.a1	$2$	128.a1.a1	$4$	$128$	$1$
512.1897.8b	$8$	R		$1$	\(\Q\)	512.1897.8b	$C_2^5.\SD_{16}$	$C_2^4.Q_{16}$	$256$	256.a1.a1	$2$	128.a1.a1	$4$	$128$	$1$
512.1897.16a	$16$	R	✓	$1$	\(\Q\)	512.1897.16a	$C_2^5.\SD_{16}$	$C_2^5.\SD_{16}$	$512$	512.a1.a1	$1$	256.a1.a1	$2$	$256$	$1$