LMFDB - Complex character search results

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Results (1-50 of 54 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
192.68.1a	$1$	R	$1$	$\Q$	192.68.1a	$D_{24}:C_4$	$C_1$	$1$	1.a1.a1	$192$	1.a1.a1	$192$	$1$	$1$
192.68.1b	$1$	R	$1$	$\Q$	192.68.1b	$D_{24}:C_4$	$C_2$	$2$	2.c1.a1	$96$	1.a1.a1	$192$	$1$	$1$
192.68.1c	$1$	R	$1$	$\Q$	192.68.1c	$D_{24}:C_4$	$C_2$	$2$	2.b1.a1	$96$	1.a1.a1	$192$	$1$	$1$
192.68.1d	$1$	R	$1$	$\Q$	192.68.1d	$D_{24}:C_4$	$C_2$	$2$	2.a1.a1	$96$	1.a1.a1	$192$	$1$	$1$
192.68.1e1	$1$	C	$4$	$\Q(\sqrt{-1}) $	192.68.1e	$D_{24}:C_4$	$C_4$	$4$	4.b1.b1	$48$	1.a1.a1	$192$	$1$	$1$
192.68.1e2	$1$	C	$4$	$\Q(\sqrt{-1}) $	192.68.1e	$D_{24}:C_4$	$C_4$	$4$	4.b1.b1	$48$	1.a1.a1	$192$	$1$	$1$
192.68.1f1	$1$	C	$4$	$\Q(\sqrt{-1}) $	192.68.1f	$D_{24}:C_4$	$C_4$	$4$	4.b1.a1	$48$	1.a1.a1	$192$	$1$	$1$
192.68.1f2	$1$	C	$4$	$\Q(\sqrt{-1}) $	192.68.1f	$D_{24}:C_4$	$C_4$	$4$	4.b1.a1	$48$	1.a1.a1	$192$	$1$	$1$
192.68.2a	$2$	R	$1$	$\Q$	192.68.2a	$D_{24}:C_4$	$S_3$	$6$	6.a1.a1	$32$	6.a1.a1	$32$	$6$	$1$
192.68.2b	$2$	R	$1$	$\Q$	192.68.2b	$D_{24}:C_4$	$D_4$	$8$	8.c1.a1	$24$	4.a1.a1	$48$	$4$	$1$
192.68.2c	$2$	R	$1$	$\Q$	192.68.2c	$D_{24}:C_4$	$D_4$	$8$	8.a1.a1	$24$	4.a1.a1	$48$	$4$	$1$
192.68.2d	$2$	R	$1$	$\Q$	192.68.2d	$D_{24}:C_4$	$D_6$	$12$	12.a1.a1	$16$	6.a1.a1	$32$	$6$	$1$
192.68.2e1	$2$	R	$8$	$\Q(\sqrt{2}) $	192.68.2e	$D_{24}:C_4$	$D_8$	$16$	16.a1.a1	$12$	8.a1.a1	$24$	$8$	$1$
192.68.2e2	$2$	R	$8$	$\Q(\sqrt{2}) $	192.68.2e	$D_{24}:C_4$	$D_8$	$16$	16.a1.a1	$12$	8.a1.a1	$24$	$8$	$1$
192.68.2f1	$2$	C	$8$	$\Q(\sqrt{-2}) $	192.68.2f	$D_{24}:C_4$	$\SD_{16}$	$16$	16.b1.a1	$12$	8.a1.a1	$24$	$8$	$1$
192.68.2f2	$2$	C	$8$	$\Q(\sqrt{-2}) $	192.68.2f	$D_{24}:C_4$	$\SD_{16}$	$16$	16.b1.a1	$12$	8.a1.a1	$24$	$8$	$1$
192.68.2g1	$2$	C	$4$	$\Q(\sqrt{-1}) $	192.68.2g	$D_{24}:C_4$	$C_4\times S_3$	$24$	24.b1.a1	$8$	6.a1.a1	$32$	$6$	$1$
192.68.2g2	$2$	C	$4$	$\Q(\sqrt{-1}) $	192.68.2g	$D_{24}:C_4$	$C_4\times S_3$	$24$	24.b1.a1	$8$	6.a1.a1	$32$	$6$	$1$
192.68.2h1	$2$	R	$12$	$\Q(\sqrt{3}) $	192.68.2h	$D_{24}:C_4$	$D_{12}$	$24$	24.a1.a1	$8$	12.a1.a1	$16$	$12$	$1$
192.68.2h2	$2$	R	$12$	$\Q(\sqrt{3}) $	192.68.2h	$D_{24}:C_4$	$D_{12}$	$24$	24.a1.a1	$8$	12.a1.a1	$16$	$12$	$1$
192.68.2i1	$2$	C	$3$	$\Q(\sqrt{-3}) $	192.68.2i	$D_{24}:C_4$	$C_3:D_4$	$24$	24.c1.a1	$8$	12.a1.a1	$16$	$12$	$1$
192.68.2i2	$2$	C	$3$	$\Q(\sqrt{-3}) $	192.68.2i	$D_{24}:C_4$	$C_3:D_4$	$24$	24.c1.a1	$8$	12.a1.a1	$16$	$12$	$1$
192.68.2j1	$2$	C	$16$	4.0.2048.2	192.68.2j	$D_{24}:C_4$	$\SD_{32}$	$32$	32.a1.a1	$6$	16.a1.a1	$12$	$16$	$1$
192.68.2j2	$2$	C	$16$	4.0.2048.2	192.68.2j	$D_{24}:C_4$	$\SD_{32}$	$32$	32.a1.a1	$6$	16.a1.a1	$12$	$16$	$1$
192.68.2j3	$2$	C	$16$	4.0.2048.2	192.68.2j	$D_{24}:C_4$	$\SD_{32}$	$32$	32.a1.a1	$6$	16.a1.a1	$12$	$16$	$1$
192.68.2j4	$2$	C	$16$	4.0.2048.2	192.68.2j	$D_{24}:C_4$	$\SD_{32}$	$32$	32.a1.a1	$6$	16.a1.a1	$12$	$16$	$1$
192.68.2k1	$2$	R	$16$	$\Q(\zeta_{16})^+$	192.68.2k	$D_{24}:C_4$	$D_{16}$	$32$	32.b1.a1	$6$	16.a1.a1	$12$	$16$	$1$
192.68.2k2	$2$	R	$16$	$\Q(\zeta_{16})^+$	192.68.2k	$D_{24}:C_4$	$D_{16}$	$32$	32.b1.a1	$6$	16.a1.a1	$12$	$16$	$1$
192.68.2k3	$2$	R	$16$	$\Q(\zeta_{16})^+$	192.68.2k	$D_{24}:C_4$	$D_{16}$	$32$	32.b1.a1	$6$	16.a1.a1	$12$	$16$	$1$
192.68.2k4	$2$	R	$16$	$\Q(\zeta_{16})^+$	192.68.2k	$D_{24}:C_4$	$D_{16}$	$32$	32.b1.a1	$6$	16.a1.a1	$12$	$16$	$1$
192.68.2l1	$2$	R	$24$	$\Q(\sqrt{2}, \sqrt{3})$	192.68.2l	$D_{24}:C_4$	$D_{24}$	$48$	48.a1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.68.2l2	$2$	R	$24$	$\Q(\sqrt{2}, \sqrt{3})$	192.68.2l	$D_{24}:C_4$	$D_{24}$	$48$	48.a1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.68.2l3	$2$	R	$24$	$\Q(\sqrt{2}, \sqrt{3})$	192.68.2l	$D_{24}:C_4$	$D_{24}$	$48$	48.a1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.68.2l4	$2$	R	$24$	$\Q(\sqrt{2}, \sqrt{3})$	192.68.2l	$D_{24}:C_4$	$D_{24}$	$48$	48.a1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.68.2m1	$2$	C	$24$	$\Q(\sqrt{-2}, \sqrt{3})$	192.68.2m	$D_{24}:C_4$	$C_{24}:C_2$	$48$	48.b1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.68.2m2	$2$	C	$24$	$\Q(\sqrt{-2}, \sqrt{3})$	192.68.2m	$D_{24}:C_4$	$C_{24}:C_2$	$48$	48.b1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.68.2m3	$2$	C	$24$	$\Q(\sqrt{-2}, \sqrt{3})$	192.68.2m	$D_{24}:C_4$	$C_{24}:C_2$	$48$	48.b1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.68.2m4	$2$	C	$24$	$\Q(\sqrt{-2}, \sqrt{3})$	192.68.2m	$D_{24}:C_4$	$C_{24}:C_2$	$48$	48.b1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.68.2n1	$2$	R	$48$	$\Q(\zeta_{48})^+$	192.68.2n	$D_{24}:C_4$	$D_{48}$	$96$	96.b1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2n2	$2$	R	$48$	$\Q(\zeta_{48})^+$	192.68.2n	$D_{24}:C_4$	$D_{48}$	$96$	96.b1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2n3	$2$	R	$48$	$\Q(\zeta_{48})^+$	192.68.2n	$D_{24}:C_4$	$D_{48}$	$96$	96.b1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2n4	$2$	R	$48$	$\Q(\zeta_{48})^+$	192.68.2n	$D_{24}:C_4$	$D_{48}$	$96$	96.b1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2n5	$2$	R	$48$	$\Q(\zeta_{48})^+$	192.68.2n	$D_{24}:C_4$	$D_{48}$	$96$	96.b1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2n6	$2$	R	$48$	$\Q(\zeta_{48})^+$	192.68.2n	$D_{24}:C_4$	$D_{48}$	$96$	96.b1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2n7	$2$	R	$48$	$\Q(\zeta_{48})^+$	192.68.2n	$D_{24}:C_4$	$D_{48}$	$96$	96.b1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2n8	$2$	R	$48$	$\Q(\zeta_{48})^+$	192.68.2n	$D_{24}:C_4$	$D_{48}$	$96$	96.b1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2o1	$2$	C	$48$	8.0.1358954496.3	192.68.2o	$D_{24}:C_4$	$C_{48}:C_2$	$96$	96.a1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2o2	$2$	C	$48$	8.0.1358954496.3	192.68.2o	$D_{24}:C_4$	$C_{48}:C_2$	$96$	96.a1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2o3	$2$	C	$48$	8.0.1358954496.3	192.68.2o	$D_{24}:C_4$	$C_{48}:C_2$	$96$	96.a1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2o4	$2$	C	$48$	8.0.1358954496.3	192.68.2o	$D_{24}:C_4$	$C_{48}:C_2$	$96$	96.a1.a1	$2$	48.a1.a1	$4$	$48$	$1$

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Elliptic curves over $\Q$
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Results (1-50 of 54 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
192.68.1a	$1$	R	$1$	\(\Q\)	192.68.1a	$D_{24}:C_4$	$C_1$	$1$	1.a1.a1	$192$	1.a1.a1	$192$	$1$	$1$
192.68.1b	$1$	R	$1$	\(\Q\)	192.68.1b	$D_{24}:C_4$	$C_2$	$2$	2.c1.a1	$96$	1.a1.a1	$192$	$1$	$1$
192.68.1c	$1$	R	$1$	\(\Q\)	192.68.1c	$D_{24}:C_4$	$C_2$	$2$	2.b1.a1	$96$	1.a1.a1	$192$	$1$	$1$
192.68.1d	$1$	R	$1$	\(\Q\)	192.68.1d	$D_{24}:C_4$	$C_2$	$2$	2.a1.a1	$96$	1.a1.a1	$192$	$1$	$1$
192.68.1e1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	192.68.1e	$D_{24}:C_4$	$C_4$	$4$	4.b1.b1	$48$	1.a1.a1	$192$	$1$	$1$
192.68.1e2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	192.68.1e	$D_{24}:C_4$	$C_4$	$4$	4.b1.b1	$48$	1.a1.a1	$192$	$1$	$1$
192.68.1f1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	192.68.1f	$D_{24}:C_4$	$C_4$	$4$	4.b1.a1	$48$	1.a1.a1	$192$	$1$	$1$
192.68.1f2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	192.68.1f	$D_{24}:C_4$	$C_4$	$4$	4.b1.a1	$48$	1.a1.a1	$192$	$1$	$1$
192.68.2a	$2$	R	$1$	\(\Q\)	192.68.2a	$D_{24}:C_4$	$S_3$	$6$	6.a1.a1	$32$	6.a1.a1	$32$	$6$	$1$
192.68.2b	$2$	R	$1$	\(\Q\)	192.68.2b	$D_{24}:C_4$	$D_4$	$8$	8.c1.a1	$24$	4.a1.a1	$48$	$4$	$1$
192.68.2c	$2$	R	$1$	\(\Q\)	192.68.2c	$D_{24}:C_4$	$D_4$	$8$	8.a1.a1	$24$	4.a1.a1	$48$	$4$	$1$
192.68.2d	$2$	R	$1$	\(\Q\)	192.68.2d	$D_{24}:C_4$	$D_6$	$12$	12.a1.a1	$16$	6.a1.a1	$32$	$6$	$1$
192.68.2e1	$2$	R	$8$	\(\Q(\sqrt{2}) \)	192.68.2e	$D_{24}:C_4$	$D_8$	$16$	16.a1.a1	$12$	8.a1.a1	$24$	$8$	$1$
192.68.2e2	$2$	R	$8$	\(\Q(\sqrt{2}) \)	192.68.2e	$D_{24}:C_4$	$D_8$	$16$	16.a1.a1	$12$	8.a1.a1	$24$	$8$	$1$
192.68.2f1	$2$	C	$8$	\(\Q(\sqrt{-2}) \)	192.68.2f	$D_{24}:C_4$	$\SD_{16}$	$16$	16.b1.a1	$12$	8.a1.a1	$24$	$8$	$1$
192.68.2f2	$2$	C	$8$	\(\Q(\sqrt{-2}) \)	192.68.2f	$D_{24}:C_4$	$\SD_{16}$	$16$	16.b1.a1	$12$	8.a1.a1	$24$	$8$	$1$
192.68.2g1	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	192.68.2g	$D_{24}:C_4$	$C_4\times S_3$	$24$	24.b1.a1	$8$	6.a1.a1	$32$	$6$	$1$
192.68.2g2	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	192.68.2g	$D_{24}:C_4$	$C_4\times S_3$	$24$	24.b1.a1	$8$	6.a1.a1	$32$	$6$	$1$
192.68.2h1	$2$	R	$12$	\(\Q(\sqrt{3}) \)	192.68.2h	$D_{24}:C_4$	$D_{12}$	$24$	24.a1.a1	$8$	12.a1.a1	$16$	$12$	$1$
192.68.2h2	$2$	R	$12$	\(\Q(\sqrt{3}) \)	192.68.2h	$D_{24}:C_4$	$D_{12}$	$24$	24.a1.a1	$8$	12.a1.a1	$16$	$12$	$1$
192.68.2i1	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	192.68.2i	$D_{24}:C_4$	$C_3:D_4$	$24$	24.c1.a1	$8$	12.a1.a1	$16$	$12$	$1$
192.68.2i2	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	192.68.2i	$D_{24}:C_4$	$C_3:D_4$	$24$	24.c1.a1	$8$	12.a1.a1	$16$	$12$	$1$
192.68.2j1	$2$	C	$16$	4.0.2048.2	192.68.2j	$D_{24}:C_4$	$\SD_{32}$	$32$	32.a1.a1	$6$	16.a1.a1	$12$	$16$	$1$
192.68.2j2	$2$	C	$16$	4.0.2048.2	192.68.2j	$D_{24}:C_4$	$\SD_{32}$	$32$	32.a1.a1	$6$	16.a1.a1	$12$	$16$	$1$
192.68.2j3	$2$	C	$16$	4.0.2048.2	192.68.2j	$D_{24}:C_4$	$\SD_{32}$	$32$	32.a1.a1	$6$	16.a1.a1	$12$	$16$	$1$
192.68.2j4	$2$	C	$16$	4.0.2048.2	192.68.2j	$D_{24}:C_4$	$\SD_{32}$	$32$	32.a1.a1	$6$	16.a1.a1	$12$	$16$	$1$
192.68.2k1	$2$	R	$16$	\(\Q(\zeta_{16})^+\)	192.68.2k	$D_{24}:C_4$	$D_{16}$	$32$	32.b1.a1	$6$	16.a1.a1	$12$	$16$	$1$
192.68.2k2	$2$	R	$16$	\(\Q(\zeta_{16})^+\)	192.68.2k	$D_{24}:C_4$	$D_{16}$	$32$	32.b1.a1	$6$	16.a1.a1	$12$	$16$	$1$
192.68.2k3	$2$	R	$16$	\(\Q(\zeta_{16})^+\)	192.68.2k	$D_{24}:C_4$	$D_{16}$	$32$	32.b1.a1	$6$	16.a1.a1	$12$	$16$	$1$
192.68.2k4	$2$	R	$16$	\(\Q(\zeta_{16})^+\)	192.68.2k	$D_{24}:C_4$	$D_{16}$	$32$	32.b1.a1	$6$	16.a1.a1	$12$	$16$	$1$
192.68.2l1	$2$	R	$24$	\(\Q(\sqrt{2}, \sqrt{3})\)	192.68.2l	$D_{24}:C_4$	$D_{24}$	$48$	48.a1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.68.2l2	$2$	R	$24$	\(\Q(\sqrt{2}, \sqrt{3})\)	192.68.2l	$D_{24}:C_4$	$D_{24}$	$48$	48.a1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.68.2l3	$2$	R	$24$	\(\Q(\sqrt{2}, \sqrt{3})\)	192.68.2l	$D_{24}:C_4$	$D_{24}$	$48$	48.a1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.68.2l4	$2$	R	$24$	\(\Q(\sqrt{2}, \sqrt{3})\)	192.68.2l	$D_{24}:C_4$	$D_{24}$	$48$	48.a1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.68.2m1	$2$	C	$24$	\(\Q(\sqrt{-2}, \sqrt{3})\)	192.68.2m	$D_{24}:C_4$	$C_{24}:C_2$	$48$	48.b1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.68.2m2	$2$	C	$24$	\(\Q(\sqrt{-2}, \sqrt{3})\)	192.68.2m	$D_{24}:C_4$	$C_{24}:C_2$	$48$	48.b1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.68.2m3	$2$	C	$24$	\(\Q(\sqrt{-2}, \sqrt{3})\)	192.68.2m	$D_{24}:C_4$	$C_{24}:C_2$	$48$	48.b1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.68.2m4	$2$	C	$24$	\(\Q(\sqrt{-2}, \sqrt{3})\)	192.68.2m	$D_{24}:C_4$	$C_{24}:C_2$	$48$	48.b1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.68.2n1	$2$	R	$48$	\(\Q(\zeta_{48})^+\)	192.68.2n	$D_{24}:C_4$	$D_{48}$	$96$	96.b1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2n2	$2$	R	$48$	\(\Q(\zeta_{48})^+\)	192.68.2n	$D_{24}:C_4$	$D_{48}$	$96$	96.b1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2n3	$2$	R	$48$	\(\Q(\zeta_{48})^+\)	192.68.2n	$D_{24}:C_4$	$D_{48}$	$96$	96.b1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2n4	$2$	R	$48$	\(\Q(\zeta_{48})^+\)	192.68.2n	$D_{24}:C_4$	$D_{48}$	$96$	96.b1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2n5	$2$	R	$48$	\(\Q(\zeta_{48})^+\)	192.68.2n	$D_{24}:C_4$	$D_{48}$	$96$	96.b1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2n6	$2$	R	$48$	\(\Q(\zeta_{48})^+\)	192.68.2n	$D_{24}:C_4$	$D_{48}$	$96$	96.b1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2n7	$2$	R	$48$	\(\Q(\zeta_{48})^+\)	192.68.2n	$D_{24}:C_4$	$D_{48}$	$96$	96.b1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2n8	$2$	R	$48$	\(\Q(\zeta_{48})^+\)	192.68.2n	$D_{24}:C_4$	$D_{48}$	$96$	96.b1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2o1	$2$	C	$48$	8.0.1358954496.3	192.68.2o	$D_{24}:C_4$	$C_{48}:C_2$	$96$	96.a1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2o2	$2$	C	$48$	8.0.1358954496.3	192.68.2o	$D_{24}:C_4$	$C_{48}:C_2$	$96$	96.a1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2o3	$2$	C	$48$	8.0.1358954496.3	192.68.2o	$D_{24}:C_4$	$C_{48}:C_2$	$96$	96.a1.a1	$2$	48.a1.a1	$4$	$48$	$1$
192.68.2o4	$2$	C	$48$	8.0.1358954496.3	192.68.2o	$D_{24}:C_4$	$C_{48}:C_2$	$96$	96.a1.a1	$2$	48.a1.a1	$4$	$48$	$1$