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Degree	Type	Faithful	Conductor

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Results (36 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
288.402.1a	$1$	R		$1$	$\Q$	288.402.1a	$C_{12}.S_4$	$C_1$	$1$	1.a1.a1	$288$	1.a1.a1	$288$	$1$	$1$
288.402.1b	$1$	R		$1$	$\Q$	288.402.1b	$C_{12}.S_4$	$C_2$	$2$	2.a1.a1	$144$	1.a1.a1	$288$	$1$	$1$
288.402.1c1	$1$	C		$4$	$\Q(\sqrt{-1}) $	288.402.1c	$C_{12}.S_4$	$C_4$	$4$	4.a1.a1	$72$	1.a1.a1	$288$	$1$	$1$
288.402.1c2	$1$	C		$4$	$\Q(\sqrt{-1}) $	288.402.1c	$C_{12}.S_4$	$C_4$	$4$	4.a1.a1	$72$	1.a1.a1	$288$	$1$	$1$
288.402.1d1	$1$	C		$8$	$\Q(\zeta_{8})$	288.402.1d	$C_{12}.S_4$	$C_8$	$8$	8.a1.a1	$36$	1.a1.a1	$288$	$1$	$1$
288.402.1d2	$1$	C		$8$	$\Q(\zeta_{8})$	288.402.1d	$C_{12}.S_4$	$C_8$	$8$	8.a1.a1	$36$	1.a1.a1	$288$	$1$	$1$
288.402.1d3	$1$	C		$8$	$\Q(\zeta_{8})$	288.402.1d	$C_{12}.S_4$	$C_8$	$8$	8.a1.a1	$36$	1.a1.a1	$288$	$1$	$1$
288.402.1d4	$1$	C		$8$	$\Q(\zeta_{8})$	288.402.1d	$C_{12}.S_4$	$C_8$	$8$	8.a1.a1	$36$	1.a1.a1	$288$	$1$	$1$
288.402.2a	$2$	R		$1$	$\Q$	288.402.2a	$C_{12}.S_4$	$S_3$	$6$	6.b1.c1	$48$	6.b1.c1	$48$	$6$	$1$
288.402.2b	$2$	R		$1$	$\Q$	288.402.2b	$C_{12}.S_4$	$S_3$	$6$	6.b1.b1	$48$	6.b1.b1	$48$	$6$	$1$
288.402.2c	$2$	R		$1$	$\Q$	288.402.2c	$C_{12}.S_4$	$S_3$	$6$	6.b1.a1	$48$	6.b1.a1	$48$	$6$	$1$
288.402.2d	$2$	R		$1$	$\Q$	288.402.2d	$C_{12}.S_4$	$S_3$	$6$	6.a1.a1	$48$	6.a1.a1	$48$	$6$	$1$
288.402.2e	$2$	S		$1$	$\Q$	288.402.2e	$C_{12}.S_4$	$C_3:C_4$	$12$	12.b1.c1	$24$	6.b1.c1	$48$	$6$	$2$
288.402.2f	$2$	S		$1$	$\Q$	288.402.2f	$C_{12}.S_4$	$C_3:C_4$	$12$	12.b1.b1	$24$	6.b1.b1	$48$	$6$	$2$
288.402.2g	$2$	S		$1$	$\Q$	288.402.2g	$C_{12}.S_4$	$C_3:C_4$	$12$	12.b1.a1	$24$	6.b1.a1	$48$	$6$	$2$
288.402.2h	$2$	S		$1$	$\Q$	288.402.2h	$C_{12}.S_4$	$C_3:C_4$	$12$	12.a1.a1	$24$	6.a1.a1	$48$	$6$	$2$
288.402.2i1	$2$	C		$4$	$\Q(\sqrt{-1}) $	288.402.2i	$C_{12}.S_4$	$C_3:C_8$	$24$	24.c1.c1	$12$	6.b1.c1	$48$	$6$	$1$
288.402.2i2	$2$	C		$4$	$\Q(\sqrt{-1}) $	288.402.2i	$C_{12}.S_4$	$C_3:C_8$	$24$	24.c1.c1	$12$	6.b1.c1	$48$	$6$	$1$
288.402.2j1	$2$	C		$4$	$\Q(\sqrt{-1}) $	288.402.2j	$C_{12}.S_4$	$C_3:C_8$	$24$	24.c1.b1	$12$	6.b1.b1	$48$	$6$	$1$
288.402.2j2	$2$	C		$4$	$\Q(\sqrt{-1}) $	288.402.2j	$C_{12}.S_4$	$C_3:C_8$	$24$	24.c1.b1	$12$	6.b1.b1	$48$	$6$	$1$
288.402.2k1	$2$	C		$4$	$\Q(\sqrt{-1}) $	288.402.2k	$C_{12}.S_4$	$C_3:C_8$	$24$	24.c1.a1	$12$	6.b1.a1	$48$	$6$	$1$
288.402.2k2	$2$	C		$4$	$\Q(\sqrt{-1}) $	288.402.2k	$C_{12}.S_4$	$C_3:C_8$	$24$	24.c1.a1	$12$	6.b1.a1	$48$	$6$	$1$
288.402.2l1	$2$	C		$4$	$\Q(\sqrt{-1}) $	288.402.2l	$C_{12}.S_4$	$C_3:C_8$	$24$	24.b1.a1	$12$	6.a1.a1	$48$	$6$	$1$
288.402.2l2	$2$	C		$4$	$\Q(\sqrt{-1}) $	288.402.2l	$C_{12}.S_4$	$C_3:C_8$	$24$	24.b1.a1	$12$	6.a1.a1	$48$	$6$	$1$
288.402.3a	$3$	R		$1$	$\Q$	288.402.3a	$C_{12}.S_4$	$S_4$	$24$	24.a1.a1	$12$	24.a1.a1	$12$	$24$	$1$
288.402.3b	$3$	R		$1$	$\Q$	288.402.3b	$C_{12}.S_4$	$S_4$	$24$	24.a1.a1	$12$	24.a1.a1	$12$	$24$	$1$
288.402.3c1	$3$	C		$4$	$\Q(\sqrt{-1}) $	288.402.3c	$C_{12}.S_4$	$A_4:C_4$	$48$	48.a1.a1	$6$	24.a1.a1	$12$	$24$	$1$
288.402.3c2	$3$	C		$4$	$\Q(\sqrt{-1}) $	288.402.3c	$C_{12}.S_4$	$A_4:C_4$	$48$	48.a1.a1	$6$	24.a1.a1	$12$	$24$	$1$
288.402.3d1	$3$	C		$8$	$\Q(\zeta_{8})$	288.402.3d	$C_{12}.S_4$	$A_4:C_8$	$96$	96.a1.a1	$3$	24.a1.a1	$12$	$24$	$1$
288.402.3d2	$3$	C		$8$	$\Q(\zeta_{8})$	288.402.3d	$C_{12}.S_4$	$A_4:C_8$	$96$	96.a1.a1	$3$	24.a1.a1	$12$	$24$	$1$
288.402.3d3	$3$	C		$8$	$\Q(\zeta_{8})$	288.402.3d	$C_{12}.S_4$	$A_4:C_8$	$96$	96.a1.a1	$3$	24.a1.a1	$12$	$24$	$1$
288.402.3d4	$3$	C		$8$	$\Q(\zeta_{8})$	288.402.3d	$C_{12}.S_4$	$A_4:C_8$	$96$	96.a1.a1	$3$	24.a1.a1	$12$	$24$	$1$
288.402.6a	$6$	R		$1$	$\Q$	288.402.6a	$C_{12}.S_4$	$C_3:S_4$	$72$	72.a1.a1	$4$	72.a1.a1	$4$	$72$	$1$
288.402.6b	$6$	S		$1$	$\Q$	288.402.6b	$C_{12}.S_4$	$C_6.S_4$	$144$	144.a1.a1	$2$	72.a1.a1	$4$	$72$	$2$
288.402.6c1	$6$	C	✓	$4$	$\Q(\sqrt{-1}) $	288.402.6c	$C_{12}.S_4$	$C_{12}.S_4$	$288$	288.a1.a1	$1$	72.a1.a1	$4$	$72$	$1$
288.402.6c2	$6$	C	✓	$4$	$\Q(\sqrt{-1}) $	288.402.6c	$C_{12}.S_4$	$C_{12}.S_4$	$288$	288.a1.a1	$1$	72.a1.a1	$4$	$72$	$1$

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Elliptic curves over $\Q$
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Results (36 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
288.402.1a	$1$	R		$1$	\(\Q\)	288.402.1a	$C_{12}.S_4$	$C_1$	$1$	1.a1.a1	$288$	1.a1.a1	$288$	$1$	$1$
288.402.1b	$1$	R		$1$	\(\Q\)	288.402.1b	$C_{12}.S_4$	$C_2$	$2$	2.a1.a1	$144$	1.a1.a1	$288$	$1$	$1$
288.402.1c1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	288.402.1c	$C_{12}.S_4$	$C_4$	$4$	4.a1.a1	$72$	1.a1.a1	$288$	$1$	$1$
288.402.1c2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	288.402.1c	$C_{12}.S_4$	$C_4$	$4$	4.a1.a1	$72$	1.a1.a1	$288$	$1$	$1$
288.402.1d1	$1$	C		$8$	\(\Q(\zeta_{8})\)	288.402.1d	$C_{12}.S_4$	$C_8$	$8$	8.a1.a1	$36$	1.a1.a1	$288$	$1$	$1$
288.402.1d2	$1$	C		$8$	\(\Q(\zeta_{8})\)	288.402.1d	$C_{12}.S_4$	$C_8$	$8$	8.a1.a1	$36$	1.a1.a1	$288$	$1$	$1$
288.402.1d3	$1$	C		$8$	\(\Q(\zeta_{8})\)	288.402.1d	$C_{12}.S_4$	$C_8$	$8$	8.a1.a1	$36$	1.a1.a1	$288$	$1$	$1$
288.402.1d4	$1$	C		$8$	\(\Q(\zeta_{8})\)	288.402.1d	$C_{12}.S_4$	$C_8$	$8$	8.a1.a1	$36$	1.a1.a1	$288$	$1$	$1$
288.402.2a	$2$	R		$1$	\(\Q\)	288.402.2a	$C_{12}.S_4$	$S_3$	$6$	6.b1.c1	$48$	6.b1.c1	$48$	$6$	$1$
288.402.2b	$2$	R		$1$	\(\Q\)	288.402.2b	$C_{12}.S_4$	$S_3$	$6$	6.b1.b1	$48$	6.b1.b1	$48$	$6$	$1$
288.402.2c	$2$	R		$1$	\(\Q\)	288.402.2c	$C_{12}.S_4$	$S_3$	$6$	6.b1.a1	$48$	6.b1.a1	$48$	$6$	$1$
288.402.2d	$2$	R		$1$	\(\Q\)	288.402.2d	$C_{12}.S_4$	$S_3$	$6$	6.a1.a1	$48$	6.a1.a1	$48$	$6$	$1$
288.402.2e	$2$	S		$1$	\(\Q\)	288.402.2e	$C_{12}.S_4$	$C_3:C_4$	$12$	12.b1.c1	$24$	6.b1.c1	$48$	$6$	$2$
288.402.2f	$2$	S		$1$	\(\Q\)	288.402.2f	$C_{12}.S_4$	$C_3:C_4$	$12$	12.b1.b1	$24$	6.b1.b1	$48$	$6$	$2$
288.402.2g	$2$	S		$1$	\(\Q\)	288.402.2g	$C_{12}.S_4$	$C_3:C_4$	$12$	12.b1.a1	$24$	6.b1.a1	$48$	$6$	$2$
288.402.2h	$2$	S		$1$	\(\Q\)	288.402.2h	$C_{12}.S_4$	$C_3:C_4$	$12$	12.a1.a1	$24$	6.a1.a1	$48$	$6$	$2$
288.402.2i1	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	288.402.2i	$C_{12}.S_4$	$C_3:C_8$	$24$	24.c1.c1	$12$	6.b1.c1	$48$	$6$	$1$
288.402.2i2	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	288.402.2i	$C_{12}.S_4$	$C_3:C_8$	$24$	24.c1.c1	$12$	6.b1.c1	$48$	$6$	$1$
288.402.2j1	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	288.402.2j	$C_{12}.S_4$	$C_3:C_8$	$24$	24.c1.b1	$12$	6.b1.b1	$48$	$6$	$1$
288.402.2j2	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	288.402.2j	$C_{12}.S_4$	$C_3:C_8$	$24$	24.c1.b1	$12$	6.b1.b1	$48$	$6$	$1$
288.402.2k1	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	288.402.2k	$C_{12}.S_4$	$C_3:C_8$	$24$	24.c1.a1	$12$	6.b1.a1	$48$	$6$	$1$
288.402.2k2	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	288.402.2k	$C_{12}.S_4$	$C_3:C_8$	$24$	24.c1.a1	$12$	6.b1.a1	$48$	$6$	$1$
288.402.2l1	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	288.402.2l	$C_{12}.S_4$	$C_3:C_8$	$24$	24.b1.a1	$12$	6.a1.a1	$48$	$6$	$1$
288.402.2l2	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	288.402.2l	$C_{12}.S_4$	$C_3:C_8$	$24$	24.b1.a1	$12$	6.a1.a1	$48$	$6$	$1$
288.402.3a	$3$	R		$1$	\(\Q\)	288.402.3a	$C_{12}.S_4$	$S_4$	$24$	24.a1.a1	$12$	24.a1.a1	$12$	$24$	$1$
288.402.3b	$3$	R		$1$	\(\Q\)	288.402.3b	$C_{12}.S_4$	$S_4$	$24$	24.a1.a1	$12$	24.a1.a1	$12$	$24$	$1$
288.402.3c1	$3$	C		$4$	\(\Q(\sqrt{-1}) \)	288.402.3c	$C_{12}.S_4$	$A_4:C_4$	$48$	48.a1.a1	$6$	24.a1.a1	$12$	$24$	$1$
288.402.3c2	$3$	C		$4$	\(\Q(\sqrt{-1}) \)	288.402.3c	$C_{12}.S_4$	$A_4:C_4$	$48$	48.a1.a1	$6$	24.a1.a1	$12$	$24$	$1$
288.402.3d1	$3$	C		$8$	\(\Q(\zeta_{8})\)	288.402.3d	$C_{12}.S_4$	$A_4:C_8$	$96$	96.a1.a1	$3$	24.a1.a1	$12$	$24$	$1$
288.402.3d2	$3$	C		$8$	\(\Q(\zeta_{8})\)	288.402.3d	$C_{12}.S_4$	$A_4:C_8$	$96$	96.a1.a1	$3$	24.a1.a1	$12$	$24$	$1$
288.402.3d3	$3$	C		$8$	\(\Q(\zeta_{8})\)	288.402.3d	$C_{12}.S_4$	$A_4:C_8$	$96$	96.a1.a1	$3$	24.a1.a1	$12$	$24$	$1$
288.402.3d4	$3$	C		$8$	\(\Q(\zeta_{8})\)	288.402.3d	$C_{12}.S_4$	$A_4:C_8$	$96$	96.a1.a1	$3$	24.a1.a1	$12$	$24$	$1$
288.402.6a	$6$	R		$1$	\(\Q\)	288.402.6a	$C_{12}.S_4$	$C_3:S_4$	$72$	72.a1.a1	$4$	72.a1.a1	$4$	$72$	$1$
288.402.6b	$6$	S		$1$	\(\Q\)	288.402.6b	$C_{12}.S_4$	$C_6.S_4$	$144$	144.a1.a1	$2$	72.a1.a1	$4$	$72$	$2$
288.402.6c1	$6$	C	✓	$4$	\(\Q(\sqrt{-1}) \)	288.402.6c	$C_{12}.S_4$	$C_{12}.S_4$	$288$	288.a1.a1	$1$	72.a1.a1	$4$	$72$	$1$
288.402.6c2	$6$	C	✓	$4$	\(\Q(\sqrt{-1}) \)	288.402.6c	$C_{12}.S_4$	$C_{12}.S_4$	$288$	288.a1.a1	$1$	72.a1.a1	$4$	$72$	$1$