LMFDB - Complex character search results

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Results (1-50 of 56 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
128.111.1a	$1$	R	$1$	$\Q$	128.111.1a	$\OD_{32}:C_4$	$C_1$	$1$	1.a1.a1	$128$	1.a1.a1	$128$	$1$	$1$
128.111.1b	$1$	R	$1$	$\Q$	128.111.1b	$\OD_{32}:C_4$	$C_2$	$2$	2.c1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.111.1c	$1$	R	$1$	$\Q$	128.111.1c	$\OD_{32}:C_4$	$C_2$	$2$	2.b1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.111.1d	$1$	R	$1$	$\Q$	128.111.1d	$\OD_{32}:C_4$	$C_2$	$2$	2.a1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.111.1e1	$1$	C	$4$	$\Q(\sqrt{-1}) $	128.111.1e	$\OD_{32}:C_4$	$C_4$	$4$	4.e1.b1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1e2	$1$	C	$4$	$\Q(\sqrt{-1}) $	128.111.1e	$\OD_{32}:C_4$	$C_4$	$4$	4.e1.b1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1f1	$1$	C	$4$	$\Q(\sqrt{-1}) $	128.111.1f	$\OD_{32}:C_4$	$C_4$	$4$	4.e1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1f2	$1$	C	$4$	$\Q(\sqrt{-1}) $	128.111.1f	$\OD_{32}:C_4$	$C_4$	$4$	4.e1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1g1	$1$	C	$4$	$\Q(\sqrt{-1}) $	128.111.1g	$\OD_{32}:C_4$	$C_4$	$4$	4.d1.b1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1g2	$1$	C	$4$	$\Q(\sqrt{-1}) $	128.111.1g	$\OD_{32}:C_4$	$C_4$	$4$	4.d1.b1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1h1	$1$	C	$4$	$\Q(\sqrt{-1}) $	128.111.1h	$\OD_{32}:C_4$	$C_4$	$4$	4.d1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1h2	$1$	C	$4$	$\Q(\sqrt{-1}) $	128.111.1h	$\OD_{32}:C_4$	$C_4$	$4$	4.d1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1i1	$1$	C	$4$	$\Q(\sqrt{-1}) $	128.111.1i	$\OD_{32}:C_4$	$C_4$	$4$	4.c1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1i2	$1$	C	$4$	$\Q(\sqrt{-1}) $	128.111.1i	$\OD_{32}:C_4$	$C_4$	$4$	4.c1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1j1	$1$	C	$4$	$\Q(\sqrt{-1}) $	128.111.1j	$\OD_{32}:C_4$	$C_4$	$4$	4.a1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1j2	$1$	C	$4$	$\Q(\sqrt{-1}) $	128.111.1j	$\OD_{32}:C_4$	$C_4$	$4$	4.a1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1k1	$1$	C	$8$	$\Q(\zeta_{8})$	128.111.1k	$\OD_{32}:C_4$	$C_8$	$8$	8.i1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1k2	$1$	C	$8$	$\Q(\zeta_{8})$	128.111.1k	$\OD_{32}:C_4$	$C_8$	$8$	8.i1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1k3	$1$	C	$8$	$\Q(\zeta_{8})$	128.111.1k	$\OD_{32}:C_4$	$C_8$	$8$	8.i1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1k4	$1$	C	$8$	$\Q(\zeta_{8})$	128.111.1k	$\OD_{32}:C_4$	$C_8$	$8$	8.i1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1l1	$1$	C	$8$	$\Q(\zeta_{8})$	128.111.1l	$\OD_{32}:C_4$	$C_8$	$8$	8.i1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1l2	$1$	C	$8$	$\Q(\zeta_{8})$	128.111.1l	$\OD_{32}:C_4$	$C_8$	$8$	8.i1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1l3	$1$	C	$8$	$\Q(\zeta_{8})$	128.111.1l	$\OD_{32}:C_4$	$C_8$	$8$	8.i1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1l4	$1$	C	$8$	$\Q(\zeta_{8})$	128.111.1l	$\OD_{32}:C_4$	$C_8$	$8$	8.i1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1m1	$1$	C	$8$	$\Q(\zeta_{8})$	128.111.1m	$\OD_{32}:C_4$	$C_8$	$8$	8.d1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1m2	$1$	C	$8$	$\Q(\zeta_{8})$	128.111.1m	$\OD_{32}:C_4$	$C_8$	$8$	8.d1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1m3	$1$	C	$8$	$\Q(\zeta_{8})$	128.111.1m	$\OD_{32}:C_4$	$C_8$	$8$	8.d1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1m4	$1$	C	$8$	$\Q(\zeta_{8})$	128.111.1m	$\OD_{32}:C_4$	$C_8$	$8$	8.d1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1n1	$1$	C	$8$	$\Q(\zeta_{8})$	128.111.1n	$\OD_{32}:C_4$	$C_8$	$8$	8.d1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1n2	$1$	C	$8$	$\Q(\zeta_{8})$	128.111.1n	$\OD_{32}:C_4$	$C_8$	$8$	8.d1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1n3	$1$	C	$8$	$\Q(\zeta_{8})$	128.111.1n	$\OD_{32}:C_4$	$C_8$	$8$	8.d1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1n4	$1$	C	$8$	$\Q(\zeta_{8})$	128.111.1n	$\OD_{32}:C_4$	$C_8$	$8$	8.d1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.2a	$2$	R	$1$	$\Q$	128.111.2a	$\OD_{32}:C_4$	$D_4$	$8$	8.h1.a1	$16$	4.b1.a1	$32$	$4$	$1$
128.111.2b	$2$	R	$1$	$\Q$	128.111.2b	$\OD_{32}:C_4$	$D_4$	$8$	8.c1.a1	$16$	4.b1.a1	$32$	$4$	$1$
128.111.2c	$2$	R	$1$	$\Q$	128.111.2c	$\OD_{32}:C_4$	$D_4$	$8$	8.b1.a1	$16$	4.b1.a1	$32$	$4$	$1$
128.111.2d	$2$	S	$1$	$\Q$	128.111.2d	$\OD_{32}:C_4$	$Q_8$	$8$	8.g1.a1	$16$	4.b1.a1	$32$	$4$	$2$
128.111.2e1	$2$	C	$4$	$\Q(\sqrt{-1}) $	128.111.2e	$\OD_{32}:C_4$	$\OD_{16}$	$16$	16.e1.a1	$8$	4.b1.a1	$32$	$4$	$1$
128.111.2e2	$2$	C	$4$	$\Q(\sqrt{-1}) $	128.111.2e	$\OD_{32}:C_4$	$\OD_{16}$	$16$	16.e1.a1	$8$	4.b1.a1	$32$	$4$	$1$
128.111.2f1	$2$	C	$4$	$\Q(\sqrt{-1}) $	128.111.2f	$\OD_{32}:C_4$	$\OD_{16}$	$16$	16.a1.a1	$8$	4.b1.a1	$32$	$4$	$1$
128.111.2f2	$2$	C	$4$	$\Q(\sqrt{-1}) $	128.111.2f	$\OD_{32}:C_4$	$\OD_{16}$	$16$	16.a1.a1	$8$	4.b1.a1	$32$	$4$	$1$
128.111.2g1	$2$	C	$16$	$\Q(\zeta_{16})$	128.111.2g	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.b1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2g2	$2$	C	$16$	$\Q(\zeta_{16})$	128.111.2g	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.b1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2g3	$2$	C	$16$	$\Q(\zeta_{16})$	128.111.2g	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.b1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2g4	$2$	C	$16$	$\Q(\zeta_{16})$	128.111.2g	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.b1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2g5	$2$	C	$16$	$\Q(\zeta_{16})$	128.111.2g	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.b1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2g6	$2$	C	$16$	$\Q(\zeta_{16})$	128.111.2g	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.b1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2g7	$2$	C	$16$	$\Q(\zeta_{16})$	128.111.2g	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.b1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2g8	$2$	C	$16$	$\Q(\zeta_{16})$	128.111.2g	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.b1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2h1	$2$	C	$16$	$\Q(\zeta_{16})$	128.111.2h	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.a1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2h2	$2$	C	$16$	$\Q(\zeta_{16})$	128.111.2h	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.a1	$2$	8.b1.a1	$16$	$8$	$1$

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Elliptic curves over $\Q$
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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
128.111.1a	$1$	R	$1$	\(\Q\)	128.111.1a	$\OD_{32}:C_4$	$C_1$	$1$	1.a1.a1	$128$	1.a1.a1	$128$	$1$	$1$
128.111.1b	$1$	R	$1$	\(\Q\)	128.111.1b	$\OD_{32}:C_4$	$C_2$	$2$	2.c1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.111.1c	$1$	R	$1$	\(\Q\)	128.111.1c	$\OD_{32}:C_4$	$C_2$	$2$	2.b1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.111.1d	$1$	R	$1$	\(\Q\)	128.111.1d	$\OD_{32}:C_4$	$C_2$	$2$	2.a1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.111.1e1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	128.111.1e	$\OD_{32}:C_4$	$C_4$	$4$	4.e1.b1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1e2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	128.111.1e	$\OD_{32}:C_4$	$C_4$	$4$	4.e1.b1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1f1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	128.111.1f	$\OD_{32}:C_4$	$C_4$	$4$	4.e1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1f2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	128.111.1f	$\OD_{32}:C_4$	$C_4$	$4$	4.e1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1g1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	128.111.1g	$\OD_{32}:C_4$	$C_4$	$4$	4.d1.b1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1g2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	128.111.1g	$\OD_{32}:C_4$	$C_4$	$4$	4.d1.b1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1h1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	128.111.1h	$\OD_{32}:C_4$	$C_4$	$4$	4.d1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1h2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	128.111.1h	$\OD_{32}:C_4$	$C_4$	$4$	4.d1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1i1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	128.111.1i	$\OD_{32}:C_4$	$C_4$	$4$	4.c1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1i2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	128.111.1i	$\OD_{32}:C_4$	$C_4$	$4$	4.c1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1j1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	128.111.1j	$\OD_{32}:C_4$	$C_4$	$4$	4.a1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1j2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	128.111.1j	$\OD_{32}:C_4$	$C_4$	$4$	4.a1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.111.1k1	$1$	C	$8$	\(\Q(\zeta_{8})\)	128.111.1k	$\OD_{32}:C_4$	$C_8$	$8$	8.i1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1k2	$1$	C	$8$	\(\Q(\zeta_{8})\)	128.111.1k	$\OD_{32}:C_4$	$C_8$	$8$	8.i1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1k3	$1$	C	$8$	\(\Q(\zeta_{8})\)	128.111.1k	$\OD_{32}:C_4$	$C_8$	$8$	8.i1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1k4	$1$	C	$8$	\(\Q(\zeta_{8})\)	128.111.1k	$\OD_{32}:C_4$	$C_8$	$8$	8.i1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1l1	$1$	C	$8$	\(\Q(\zeta_{8})\)	128.111.1l	$\OD_{32}:C_4$	$C_8$	$8$	8.i1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1l2	$1$	C	$8$	\(\Q(\zeta_{8})\)	128.111.1l	$\OD_{32}:C_4$	$C_8$	$8$	8.i1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1l3	$1$	C	$8$	\(\Q(\zeta_{8})\)	128.111.1l	$\OD_{32}:C_4$	$C_8$	$8$	8.i1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1l4	$1$	C	$8$	\(\Q(\zeta_{8})\)	128.111.1l	$\OD_{32}:C_4$	$C_8$	$8$	8.i1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1m1	$1$	C	$8$	\(\Q(\zeta_{8})\)	128.111.1m	$\OD_{32}:C_4$	$C_8$	$8$	8.d1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1m2	$1$	C	$8$	\(\Q(\zeta_{8})\)	128.111.1m	$\OD_{32}:C_4$	$C_8$	$8$	8.d1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1m3	$1$	C	$8$	\(\Q(\zeta_{8})\)	128.111.1m	$\OD_{32}:C_4$	$C_8$	$8$	8.d1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1m4	$1$	C	$8$	\(\Q(\zeta_{8})\)	128.111.1m	$\OD_{32}:C_4$	$C_8$	$8$	8.d1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1n1	$1$	C	$8$	\(\Q(\zeta_{8})\)	128.111.1n	$\OD_{32}:C_4$	$C_8$	$8$	8.d1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1n2	$1$	C	$8$	\(\Q(\zeta_{8})\)	128.111.1n	$\OD_{32}:C_4$	$C_8$	$8$	8.d1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1n3	$1$	C	$8$	\(\Q(\zeta_{8})\)	128.111.1n	$\OD_{32}:C_4$	$C_8$	$8$	8.d1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.1n4	$1$	C	$8$	\(\Q(\zeta_{8})\)	128.111.1n	$\OD_{32}:C_4$	$C_8$	$8$	8.d1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.111.2a	$2$	R	$1$	\(\Q\)	128.111.2a	$\OD_{32}:C_4$	$D_4$	$8$	8.h1.a1	$16$	4.b1.a1	$32$	$4$	$1$
128.111.2b	$2$	R	$1$	\(\Q\)	128.111.2b	$\OD_{32}:C_4$	$D_4$	$8$	8.c1.a1	$16$	4.b1.a1	$32$	$4$	$1$
128.111.2c	$2$	R	$1$	\(\Q\)	128.111.2c	$\OD_{32}:C_4$	$D_4$	$8$	8.b1.a1	$16$	4.b1.a1	$32$	$4$	$1$
128.111.2d	$2$	S	$1$	\(\Q\)	128.111.2d	$\OD_{32}:C_4$	$Q_8$	$8$	8.g1.a1	$16$	4.b1.a1	$32$	$4$	$2$
128.111.2e1	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	128.111.2e	$\OD_{32}:C_4$	$\OD_{16}$	$16$	16.e1.a1	$8$	4.b1.a1	$32$	$4$	$1$
128.111.2e2	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	128.111.2e	$\OD_{32}:C_4$	$\OD_{16}$	$16$	16.e1.a1	$8$	4.b1.a1	$32$	$4$	$1$
128.111.2f1	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	128.111.2f	$\OD_{32}:C_4$	$\OD_{16}$	$16$	16.a1.a1	$8$	4.b1.a1	$32$	$4$	$1$
128.111.2f2	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	128.111.2f	$\OD_{32}:C_4$	$\OD_{16}$	$16$	16.a1.a1	$8$	4.b1.a1	$32$	$4$	$1$
128.111.2g1	$2$	C	$16$	\(\Q(\zeta_{16})\)	128.111.2g	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.b1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2g2	$2$	C	$16$	\(\Q(\zeta_{16})\)	128.111.2g	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.b1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2g3	$2$	C	$16$	\(\Q(\zeta_{16})\)	128.111.2g	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.b1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2g4	$2$	C	$16$	\(\Q(\zeta_{16})\)	128.111.2g	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.b1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2g5	$2$	C	$16$	\(\Q(\zeta_{16})\)	128.111.2g	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.b1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2g6	$2$	C	$16$	\(\Q(\zeta_{16})\)	128.111.2g	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.b1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2g7	$2$	C	$16$	\(\Q(\zeta_{16})\)	128.111.2g	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.b1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2g8	$2$	C	$16$	\(\Q(\zeta_{16})\)	128.111.2g	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.b1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2h1	$2$	C	$16$	\(\Q(\zeta_{16})\)	128.111.2h	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.a1	$2$	8.b1.a1	$16$	$8$	$1$
128.111.2h2	$2$	C	$16$	\(\Q(\zeta_{16})\)	128.111.2h	$\OD_{32}:C_4$	$\OD_{32}:C_2$	$64$	64.b1.a1	$2$	8.b1.a1	$16$	$8$	$1$