LMFDB - Complex character search results

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Results (1-50 of 88 matches)

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Label	Degree	Type	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
256.5027.1a	$1$	R	$1$	$\Q$	256.5027.1a	$C_{16}:D_8$	$C_1$	$1$	1.a1.a1	$256$	1.a1.a1	$256$	$1$	$1$
256.5027.1b	$1$	R	$1$	$\Q$	256.5027.1b	$C_{16}:D_8$	$C_2$	$2$	2.e1.a1	$128$	1.a1.a1	$256$	$1$	$1$
256.5027.1c	$1$	R	$1$	$\Q$	256.5027.1c	$C_{16}:D_8$	$C_2$	$2$	2.d1.a1	$128$	1.a1.a1	$256$	$1$	$1$
256.5027.1d	$1$	R	$1$	$\Q$	256.5027.1d	$C_{16}:D_8$	$C_2$	$2$	2.a1.b1	$128$	1.a1.a1	$256$	$1$	$1$
256.5027.1e	$1$	R	$1$	$\Q$	256.5027.1e	$C_{16}:D_8$	$C_2$	$2$	2.b1.b1	$128$	1.a1.a1	$256$	$1$	$1$
256.5027.1f	$1$	R	$1$	$\Q$	256.5027.1f	$C_{16}:D_8$	$C_2$	$2$	2.a1.a1	$128$	1.a1.a1	$256$	$1$	$1$
256.5027.1g	$1$	R	$1$	$\Q$	256.5027.1g	$C_{16}:D_8$	$C_2$	$2$	2.b1.a1	$128$	1.a1.a1	$256$	$1$	$1$
256.5027.1h	$1$	R	$1$	$\Q$	256.5027.1h	$C_{16}:D_8$	$C_2$	$2$	2.c1.a1	$128$	1.a1.a1	$256$	$1$	$1$
256.5027.1i1	$1$	C	$4$	$\Q(\sqrt{-1}) $	256.5027.1i	$C_{16}:D_8$	$C_4$	$4$	4.h1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.5027.1i2	$1$	C	$4$	$\Q(\sqrt{-1}) $	256.5027.1i	$C_{16}:D_8$	$C_4$	$4$	4.h1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.5027.1j1	$1$	C	$4$	$\Q(\sqrt{-1}) $	256.5027.1j	$C_{16}:D_8$	$C_4$	$4$	4.b1.b1	$64$	1.a1.a1	$256$	$1$	$1$
256.5027.1j2	$1$	C	$4$	$\Q(\sqrt{-1}) $	256.5027.1j	$C_{16}:D_8$	$C_4$	$4$	4.b1.b1	$64$	1.a1.a1	$256$	$1$	$1$
256.5027.1k1	$1$	C	$4$	$\Q(\sqrt{-1}) $	256.5027.1k	$C_{16}:D_8$	$C_4$	$4$	4.b1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.5027.1k2	$1$	C	$4$	$\Q(\sqrt{-1}) $	256.5027.1k	$C_{16}:D_8$	$C_4$	$4$	4.b1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.5027.1l1	$1$	C	$4$	$\Q(\sqrt{-1}) $	256.5027.1l	$C_{16}:D_8$	$C_4$	$4$	4.c1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.5027.1l2	$1$	C	$4$	$\Q(\sqrt{-1}) $	256.5027.1l	$C_{16}:D_8$	$C_4$	$4$	4.c1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.5027.1m1	$1$	C	$8$	$\Q(\zeta_{8})$	256.5027.1m	$C_{16}:D_8$	$C_8$	$8$	8.j1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1m2	$1$	C	$8$	$\Q(\zeta_{8})$	256.5027.1m	$C_{16}:D_8$	$C_8$	$8$	8.j1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1m3	$1$	C	$8$	$\Q(\zeta_{8})$	256.5027.1m	$C_{16}:D_8$	$C_8$	$8$	8.j1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1m4	$1$	C	$8$	$\Q(\zeta_{8})$	256.5027.1m	$C_{16}:D_8$	$C_8$	$8$	8.j1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1n1	$1$	C	$8$	$\Q(\zeta_{8})$	256.5027.1n	$C_{16}:D_8$	$C_8$	$8$	8.b1.b1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1n2	$1$	C	$8$	$\Q(\zeta_{8})$	256.5027.1n	$C_{16}:D_8$	$C_8$	$8$	8.b1.b1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1n3	$1$	C	$8$	$\Q(\zeta_{8})$	256.5027.1n	$C_{16}:D_8$	$C_8$	$8$	8.b1.b1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1n4	$1$	C	$8$	$\Q(\zeta_{8})$	256.5027.1n	$C_{16}:D_8$	$C_8$	$8$	8.b1.b1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1o1	$1$	C	$8$	$\Q(\zeta_{8})$	256.5027.1o	$C_{16}:D_8$	$C_8$	$8$	8.b1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1o2	$1$	C	$8$	$\Q(\zeta_{8})$	256.5027.1o	$C_{16}:D_8$	$C_8$	$8$	8.b1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1o3	$1$	C	$8$	$\Q(\zeta_{8})$	256.5027.1o	$C_{16}:D_8$	$C_8$	$8$	8.b1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1o4	$1$	C	$8$	$\Q(\zeta_{8})$	256.5027.1o	$C_{16}:D_8$	$C_8$	$8$	8.b1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1p1	$1$	C	$8$	$\Q(\zeta_{8})$	256.5027.1p	$C_{16}:D_8$	$C_8$	$8$	8.c1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1p2	$1$	C	$8$	$\Q(\zeta_{8})$	256.5027.1p	$C_{16}:D_8$	$C_8$	$8$	8.c1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1p3	$1$	C	$8$	$\Q(\zeta_{8})$	256.5027.1p	$C_{16}:D_8$	$C_8$	$8$	8.c1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1p4	$1$	C	$8$	$\Q(\zeta_{8})$	256.5027.1p	$C_{16}:D_8$	$C_8$	$8$	8.c1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.2a	$2$	R	$1$	$\Q$	256.5027.2a	$C_{16}:D_8$	$D_4$	$8$	8.i1.a1	$32$	4.e1.a1	$64$	$4$	$1$
256.5027.2b	$2$	R	$1$	$\Q$	256.5027.2b	$C_{16}:D_8$	$D_4$	$8$	8.h1.a1	$32$	4.e1.a1	$64$	$4$	$1$
256.5027.2c1	$2$	R	$8$	$\Q(\sqrt{2}) $	256.5027.2c	$C_{16}:D_8$	$D_8$	$16$	16.h1.a1	$16$	8.h1.a1	$32$	$8$	$1$
256.5027.2c2	$2$	R	$8$	$\Q(\sqrt{2}) $	256.5027.2c	$C_{16}:D_8$	$D_8$	$16$	16.h1.a1	$16$	8.h1.a1	$32$	$8$	$1$
256.5027.2d1	$2$	R	$8$	$\Q(\sqrt{2}) $	256.5027.2d	$C_{16}:D_8$	$D_8$	$16$	16.h1.b1	$16$	8.h1.a1	$32$	$8$	$1$
256.5027.2d2	$2$	R	$8$	$\Q(\sqrt{2}) $	256.5027.2d	$C_{16}:D_8$	$D_8$	$16$	16.h1.b1	$16$	8.h1.a1	$32$	$8$	$1$
256.5027.2e1	$2$	C	$4$	$\Q(\sqrt{-1}) $	256.5027.2e	$C_{16}:D_8$	$D_4:C_2$	$16$	16.d1.a1	$16$	4.e1.a1	$64$	$4$	$1$
256.5027.2e2	$2$	C	$4$	$\Q(\sqrt{-1}) $	256.5027.2e	$C_{16}:D_8$	$D_4:C_2$	$16$	16.d1.a1	$16$	4.e1.a1	$64$	$4$	$1$
256.5027.2f1	$2$	C	$8$	$\Q(\zeta_{8})$	256.5027.2f	$C_{16}:D_8$	$\OD_{16}:C_2$	$32$	32.c1.a1	$8$	4.e1.a1	$64$	$4$	$1$
256.5027.2f2	$2$	C	$8$	$\Q(\zeta_{8})$	256.5027.2f	$C_{16}:D_8$	$\OD_{16}:C_2$	$32$	32.c1.a1	$8$	4.e1.a1	$64$	$4$	$1$
256.5027.2f3	$2$	C	$8$	$\Q(\zeta_{8})$	256.5027.2f	$C_{16}:D_8$	$\OD_{16}:C_2$	$32$	32.c1.a1	$8$	4.e1.a1	$64$	$4$	$1$
256.5027.2f4	$2$	C	$8$	$\Q(\zeta_{8})$	256.5027.2f	$C_{16}:D_8$	$\OD_{16}:C_2$	$32$	32.c1.a1	$8$	4.e1.a1	$64$	$4$	$1$
256.5027.2g1	$2$	C	$8$	$\Q(\zeta_{8})$	256.5027.2g	$C_{16}:D_8$	$\OD_{32}$	$32$	32.f1.b1	$8$	4.d1.a1	$64$	$4$	$1$
256.5027.2g2	$2$	C	$8$	$\Q(\zeta_{8})$	256.5027.2g	$C_{16}:D_8$	$\OD_{32}$	$32$	32.f1.b1	$8$	4.d1.a1	$64$	$4$	$1$
256.5027.2g3	$2$	C	$8$	$\Q(\zeta_{8})$	256.5027.2g	$C_{16}:D_8$	$\OD_{32}$	$32$	32.f1.b1	$8$	4.d1.a1	$64$	$4$	$1$
256.5027.2g4	$2$	C	$8$	$\Q(\zeta_{8})$	256.5027.2g	$C_{16}:D_8$	$\OD_{32}$	$32$	32.f1.b1	$8$	4.d1.a1	$64$	$4$	$1$
256.5027.2h1	$2$	C	$8$	$\Q(\zeta_{8})$	256.5027.2h	$C_{16}:D_8$	$\OD_{32}$	$32$	32.f1.a1	$8$	4.d1.a1	$64$	$4$	$1$
256.5027.2h2	$2$	C	$8$	$\Q(\zeta_{8})$	256.5027.2h	$C_{16}:D_8$	$\OD_{32}$	$32$	32.f1.a1	$8$	4.d1.a1	$64$	$4$	$1$

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Elliptic curves over $\Q$
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Results (1-50 of 88 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	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
256.5027.1a	$1$	R	$1$	\(\Q\)	256.5027.1a	$C_{16}:D_8$	$C_1$	$1$	1.a1.a1	$256$	1.a1.a1	$256$	$1$	$1$
256.5027.1b	$1$	R	$1$	\(\Q\)	256.5027.1b	$C_{16}:D_8$	$C_2$	$2$	2.e1.a1	$128$	1.a1.a1	$256$	$1$	$1$
256.5027.1c	$1$	R	$1$	\(\Q\)	256.5027.1c	$C_{16}:D_8$	$C_2$	$2$	2.d1.a1	$128$	1.a1.a1	$256$	$1$	$1$
256.5027.1d	$1$	R	$1$	\(\Q\)	256.5027.1d	$C_{16}:D_8$	$C_2$	$2$	2.a1.b1	$128$	1.a1.a1	$256$	$1$	$1$
256.5027.1e	$1$	R	$1$	\(\Q\)	256.5027.1e	$C_{16}:D_8$	$C_2$	$2$	2.b1.b1	$128$	1.a1.a1	$256$	$1$	$1$
256.5027.1f	$1$	R	$1$	\(\Q\)	256.5027.1f	$C_{16}:D_8$	$C_2$	$2$	2.a1.a1	$128$	1.a1.a1	$256$	$1$	$1$
256.5027.1g	$1$	R	$1$	\(\Q\)	256.5027.1g	$C_{16}:D_8$	$C_2$	$2$	2.b1.a1	$128$	1.a1.a1	$256$	$1$	$1$
256.5027.1h	$1$	R	$1$	\(\Q\)	256.5027.1h	$C_{16}:D_8$	$C_2$	$2$	2.c1.a1	$128$	1.a1.a1	$256$	$1$	$1$
256.5027.1i1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	256.5027.1i	$C_{16}:D_8$	$C_4$	$4$	4.h1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.5027.1i2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	256.5027.1i	$C_{16}:D_8$	$C_4$	$4$	4.h1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.5027.1j1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	256.5027.1j	$C_{16}:D_8$	$C_4$	$4$	4.b1.b1	$64$	1.a1.a1	$256$	$1$	$1$
256.5027.1j2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	256.5027.1j	$C_{16}:D_8$	$C_4$	$4$	4.b1.b1	$64$	1.a1.a1	$256$	$1$	$1$
256.5027.1k1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	256.5027.1k	$C_{16}:D_8$	$C_4$	$4$	4.b1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.5027.1k2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	256.5027.1k	$C_{16}:D_8$	$C_4$	$4$	4.b1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.5027.1l1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	256.5027.1l	$C_{16}:D_8$	$C_4$	$4$	4.c1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.5027.1l2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	256.5027.1l	$C_{16}:D_8$	$C_4$	$4$	4.c1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.5027.1m1	$1$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.1m	$C_{16}:D_8$	$C_8$	$8$	8.j1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1m2	$1$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.1m	$C_{16}:D_8$	$C_8$	$8$	8.j1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1m3	$1$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.1m	$C_{16}:D_8$	$C_8$	$8$	8.j1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1m4	$1$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.1m	$C_{16}:D_8$	$C_8$	$8$	8.j1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1n1	$1$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.1n	$C_{16}:D_8$	$C_8$	$8$	8.b1.b1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1n2	$1$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.1n	$C_{16}:D_8$	$C_8$	$8$	8.b1.b1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1n3	$1$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.1n	$C_{16}:D_8$	$C_8$	$8$	8.b1.b1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1n4	$1$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.1n	$C_{16}:D_8$	$C_8$	$8$	8.b1.b1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1o1	$1$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.1o	$C_{16}:D_8$	$C_8$	$8$	8.b1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1o2	$1$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.1o	$C_{16}:D_8$	$C_8$	$8$	8.b1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1o3	$1$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.1o	$C_{16}:D_8$	$C_8$	$8$	8.b1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1o4	$1$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.1o	$C_{16}:D_8$	$C_8$	$8$	8.b1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1p1	$1$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.1p	$C_{16}:D_8$	$C_8$	$8$	8.c1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1p2	$1$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.1p	$C_{16}:D_8$	$C_8$	$8$	8.c1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1p3	$1$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.1p	$C_{16}:D_8$	$C_8$	$8$	8.c1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.1p4	$1$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.1p	$C_{16}:D_8$	$C_8$	$8$	8.c1.a1	$32$	1.a1.a1	$256$	$1$	$1$
256.5027.2a	$2$	R	$1$	\(\Q\)	256.5027.2a	$C_{16}:D_8$	$D_4$	$8$	8.i1.a1	$32$	4.e1.a1	$64$	$4$	$1$
256.5027.2b	$2$	R	$1$	\(\Q\)	256.5027.2b	$C_{16}:D_8$	$D_4$	$8$	8.h1.a1	$32$	4.e1.a1	$64$	$4$	$1$
256.5027.2c1	$2$	R	$8$	\(\Q(\sqrt{2}) \)	256.5027.2c	$C_{16}:D_8$	$D_8$	$16$	16.h1.a1	$16$	8.h1.a1	$32$	$8$	$1$
256.5027.2c2	$2$	R	$8$	\(\Q(\sqrt{2}) \)	256.5027.2c	$C_{16}:D_8$	$D_8$	$16$	16.h1.a1	$16$	8.h1.a1	$32$	$8$	$1$
256.5027.2d1	$2$	R	$8$	\(\Q(\sqrt{2}) \)	256.5027.2d	$C_{16}:D_8$	$D_8$	$16$	16.h1.b1	$16$	8.h1.a1	$32$	$8$	$1$
256.5027.2d2	$2$	R	$8$	\(\Q(\sqrt{2}) \)	256.5027.2d	$C_{16}:D_8$	$D_8$	$16$	16.h1.b1	$16$	8.h1.a1	$32$	$8$	$1$
256.5027.2e1	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	256.5027.2e	$C_{16}:D_8$	$D_4:C_2$	$16$	16.d1.a1	$16$	4.e1.a1	$64$	$4$	$1$
256.5027.2e2	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	256.5027.2e	$C_{16}:D_8$	$D_4:C_2$	$16$	16.d1.a1	$16$	4.e1.a1	$64$	$4$	$1$
256.5027.2f1	$2$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.2f	$C_{16}:D_8$	$\OD_{16}:C_2$	$32$	32.c1.a1	$8$	4.e1.a1	$64$	$4$	$1$
256.5027.2f2	$2$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.2f	$C_{16}:D_8$	$\OD_{16}:C_2$	$32$	32.c1.a1	$8$	4.e1.a1	$64$	$4$	$1$
256.5027.2f3	$2$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.2f	$C_{16}:D_8$	$\OD_{16}:C_2$	$32$	32.c1.a1	$8$	4.e1.a1	$64$	$4$	$1$
256.5027.2f4	$2$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.2f	$C_{16}:D_8$	$\OD_{16}:C_2$	$32$	32.c1.a1	$8$	4.e1.a1	$64$	$4$	$1$
256.5027.2g1	$2$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.2g	$C_{16}:D_8$	$\OD_{32}$	$32$	32.f1.b1	$8$	4.d1.a1	$64$	$4$	$1$
256.5027.2g2	$2$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.2g	$C_{16}:D_8$	$\OD_{32}$	$32$	32.f1.b1	$8$	4.d1.a1	$64$	$4$	$1$
256.5027.2g3	$2$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.2g	$C_{16}:D_8$	$\OD_{32}$	$32$	32.f1.b1	$8$	4.d1.a1	$64$	$4$	$1$
256.5027.2g4	$2$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.2g	$C_{16}:D_8$	$\OD_{32}$	$32$	32.f1.b1	$8$	4.d1.a1	$64$	$4$	$1$
256.5027.2h1	$2$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.2h	$C_{16}:D_8$	$\OD_{32}$	$32$	32.f1.a1	$8$	4.d1.a1	$64$	$4$	$1$
256.5027.2h2	$2$	C	$8$	\(\Q(\zeta_{8})\)	256.5027.2h	$C_{16}:D_8$	$\OD_{32}$	$32$	32.f1.a1	$8$	4.d1.a1	$64$	$4$	$1$