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Results (24 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
288.376.1a	$1$	R		$1$	$\Q$	288.376.1a	$C_4.\SOPlus(4,2)$	$C_1$	$1$	1.a1.a1	$288$	1.a1.a1	$288$	$1$	$1$
288.376.1b	$1$	R		$1$	$\Q$	288.376.1b	$C_4.\SOPlus(4,2)$	$C_2$	$2$	2.c1.a1	$144$	1.a1.a1	$288$	$1$	$1$
288.376.1c	$1$	R		$1$	$\Q$	288.376.1c	$C_4.\SOPlus(4,2)$	$C_2$	$2$	2.b1.a1	$144$	1.a1.a1	$288$	$1$	$1$
288.376.1d	$1$	R		$1$	$\Q$	288.376.1d	$C_4.\SOPlus(4,2)$	$C_2$	$2$	2.a1.a1	$144$	1.a1.a1	$288$	$1$	$1$
288.376.1e1	$1$	C		$4$	$\Q(\sqrt{-1}) $	288.376.1e	$C_4.\SOPlus(4,2)$	$C_4$	$4$	4.b1.b1	$72$	1.a1.a1	$288$	$1$	$1$
288.376.1e2	$1$	C		$4$	$\Q(\sqrt{-1}) $	288.376.1e	$C_4.\SOPlus(4,2)$	$C_4$	$4$	4.b1.b1	$72$	1.a1.a1	$288$	$1$	$1$
288.376.1f1	$1$	C		$4$	$\Q(\sqrt{-1}) $	288.376.1f	$C_4.\SOPlus(4,2)$	$C_4$	$4$	4.b1.a1	$72$	1.a1.a1	$288$	$1$	$1$
288.376.1f2	$1$	C		$4$	$\Q(\sqrt{-1}) $	288.376.1f	$C_4.\SOPlus(4,2)$	$C_4$	$4$	4.b1.a1	$72$	1.a1.a1	$288$	$1$	$1$
288.376.2a	$2$	R		$1$	$\Q$	288.376.2a	$C_4.\SOPlus(4,2)$	$D_4$	$8$	8.c1.a1	$36$	4.a1.a1	$72$	$4$	$1$
288.376.2b	$2$	R		$1$	$\Q$	288.376.2b	$C_4.\SOPlus(4,2)$	$D_4$	$8$	8.b1.a1	$36$	4.a1.a1	$72$	$4$	$1$
288.376.4a	$4$	R		$1$	$\Q$	288.376.4a	$C_4.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$4$	72.a1.a1	$4$	$72$	$1$
288.376.4b	$4$	R		$1$	$\Q$	288.376.4b	$C_4.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$4$	72.a1.a1	$4$	$72$	$1$
288.376.4c	$4$	R		$1$	$\Q$	288.376.4c	$C_4.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$4$	72.a1.a1	$4$	$72$	$1$
288.376.4d	$4$	R		$1$	$\Q$	288.376.4d	$C_4.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$4$	72.a1.a1	$4$	$72$	$1$
288.376.4e	$4$	R		$1$	$\Q$	288.376.4e	$C_4.\SOPlus(4,2)$	$S_3^2:C_4$	$144$	144.a1.a1	$2$	72.a1.a1	$4$	$72$	$1$
288.376.4f	$4$	R		$1$	$\Q$	288.376.4f	$C_4.\SOPlus(4,2)$	$S_3^2:C_4$	$144$	144.a1.a1	$2$	72.a1.a1	$4$	$72$	$1$
288.376.4g	$4$	S		$1$	$\Q$	288.376.4g	$C_4.\SOPlus(4,2)$	$C_4.D_4$	$32$	32.a1.a1	$9$	16.a1.a1	$18$	$16$	$2$
288.376.4h1	$4$	C		$4$	$\Q(\sqrt{-1}) $	288.376.4h	$C_4.\SOPlus(4,2)$	$S_3^2:C_4$	$144$	144.a1.a1	$2$	72.a1.a1	$4$	$72$	$1$
288.376.4h2	$4$	C		$4$	$\Q(\sqrt{-1}) $	288.376.4h	$C_4.\SOPlus(4,2)$	$S_3^2:C_4$	$144$	144.a1.a1	$2$	72.a1.a1	$4$	$72$	$1$
288.376.4i1	$4$	C	✓	$24$	$\Q(i, \sqrt{6})$	288.376.4i	$C_4.\SOPlus(4,2)$	$C_4.\SOPlus(4,2)$	$288$	288.a1.a1	$1$	144.a1.a1	$2$	$144$	$1$
288.376.4i2	$4$	C	✓	$24$	$\Q(i, \sqrt{6})$	288.376.4i	$C_4.\SOPlus(4,2)$	$C_4.\SOPlus(4,2)$	$288$	288.a1.a1	$1$	144.a1.a1	$2$	$144$	$1$
288.376.4i3	$4$	C	✓	$24$	$\Q(i, \sqrt{6})$	288.376.4i	$C_4.\SOPlus(4,2)$	$C_4.\SOPlus(4,2)$	$288$	288.a1.a1	$1$	144.a1.a1	$2$	$144$	$1$
288.376.4i4	$4$	C	✓	$24$	$\Q(i, \sqrt{6})$	288.376.4i	$C_4.\SOPlus(4,2)$	$C_4.\SOPlus(4,2)$	$288$	288.a1.a1	$1$	144.a1.a1	$2$	$144$	$1$
288.376.8a	$8$	S	✓	$1$	$\Q$	288.376.8a	$C_4.\SOPlus(4,2)$	$C_4.\SOPlus(4,2)$	$288$	288.a1.a1	$1$	144.a1.a1	$2$	$144$	$2$

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Elliptic curves over $\Q$
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Results (24 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
288.376.1a	$1$	R		$1$	\(\Q\)	288.376.1a	$C_4.\SOPlus(4,2)$	$C_1$	$1$	1.a1.a1	$288$	1.a1.a1	$288$	$1$	$1$
288.376.1b	$1$	R		$1$	\(\Q\)	288.376.1b	$C_4.\SOPlus(4,2)$	$C_2$	$2$	2.c1.a1	$144$	1.a1.a1	$288$	$1$	$1$
288.376.1c	$1$	R		$1$	\(\Q\)	288.376.1c	$C_4.\SOPlus(4,2)$	$C_2$	$2$	2.b1.a1	$144$	1.a1.a1	$288$	$1$	$1$
288.376.1d	$1$	R		$1$	\(\Q\)	288.376.1d	$C_4.\SOPlus(4,2)$	$C_2$	$2$	2.a1.a1	$144$	1.a1.a1	$288$	$1$	$1$
288.376.1e1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	288.376.1e	$C_4.\SOPlus(4,2)$	$C_4$	$4$	4.b1.b1	$72$	1.a1.a1	$288$	$1$	$1$
288.376.1e2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	288.376.1e	$C_4.\SOPlus(4,2)$	$C_4$	$4$	4.b1.b1	$72$	1.a1.a1	$288$	$1$	$1$
288.376.1f1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	288.376.1f	$C_4.\SOPlus(4,2)$	$C_4$	$4$	4.b1.a1	$72$	1.a1.a1	$288$	$1$	$1$
288.376.1f2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	288.376.1f	$C_4.\SOPlus(4,2)$	$C_4$	$4$	4.b1.a1	$72$	1.a1.a1	$288$	$1$	$1$
288.376.2a	$2$	R		$1$	\(\Q\)	288.376.2a	$C_4.\SOPlus(4,2)$	$D_4$	$8$	8.c1.a1	$36$	4.a1.a1	$72$	$4$	$1$
288.376.2b	$2$	R		$1$	\(\Q\)	288.376.2b	$C_4.\SOPlus(4,2)$	$D_4$	$8$	8.b1.a1	$36$	4.a1.a1	$72$	$4$	$1$
288.376.4a	$4$	R		$1$	\(\Q\)	288.376.4a	$C_4.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$4$	72.a1.a1	$4$	$72$	$1$
288.376.4b	$4$	R		$1$	\(\Q\)	288.376.4b	$C_4.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$4$	72.a1.a1	$4$	$72$	$1$
288.376.4c	$4$	R		$1$	\(\Q\)	288.376.4c	$C_4.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$4$	72.a1.a1	$4$	$72$	$1$
288.376.4d	$4$	R		$1$	\(\Q\)	288.376.4d	$C_4.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$4$	72.a1.a1	$4$	$72$	$1$
288.376.4e	$4$	R		$1$	\(\Q\)	288.376.4e	$C_4.\SOPlus(4,2)$	$S_3^2:C_4$	$144$	144.a1.a1	$2$	72.a1.a1	$4$	$72$	$1$
288.376.4f	$4$	R		$1$	\(\Q\)	288.376.4f	$C_4.\SOPlus(4,2)$	$S_3^2:C_4$	$144$	144.a1.a1	$2$	72.a1.a1	$4$	$72$	$1$
288.376.4g	$4$	S		$1$	\(\Q\)	288.376.4g	$C_4.\SOPlus(4,2)$	$C_4.D_4$	$32$	32.a1.a1	$9$	16.a1.a1	$18$	$16$	$2$
288.376.4h1	$4$	C		$4$	\(\Q(\sqrt{-1}) \)	288.376.4h	$C_4.\SOPlus(4,2)$	$S_3^2:C_4$	$144$	144.a1.a1	$2$	72.a1.a1	$4$	$72$	$1$
288.376.4h2	$4$	C		$4$	\(\Q(\sqrt{-1}) \)	288.376.4h	$C_4.\SOPlus(4,2)$	$S_3^2:C_4$	$144$	144.a1.a1	$2$	72.a1.a1	$4$	$72$	$1$
288.376.4i1	$4$	C	✓	$24$	\(\Q(i, \sqrt{6})\)	288.376.4i	$C_4.\SOPlus(4,2)$	$C_4.\SOPlus(4,2)$	$288$	288.a1.a1	$1$	144.a1.a1	$2$	$144$	$1$
288.376.4i2	$4$	C	✓	$24$	\(\Q(i, \sqrt{6})\)	288.376.4i	$C_4.\SOPlus(4,2)$	$C_4.\SOPlus(4,2)$	$288$	288.a1.a1	$1$	144.a1.a1	$2$	$144$	$1$
288.376.4i3	$4$	C	✓	$24$	\(\Q(i, \sqrt{6})\)	288.376.4i	$C_4.\SOPlus(4,2)$	$C_4.\SOPlus(4,2)$	$288$	288.a1.a1	$1$	144.a1.a1	$2$	$144$	$1$
288.376.4i4	$4$	C	✓	$24$	\(\Q(i, \sqrt{6})\)	288.376.4i	$C_4.\SOPlus(4,2)$	$C_4.\SOPlus(4,2)$	$288$	288.a1.a1	$1$	144.a1.a1	$2$	$144$	$1$
288.376.8a	$8$	S	✓	$1$	\(\Q\)	288.376.8a	$C_4.\SOPlus(4,2)$	$C_4.\SOPlus(4,2)$	$288$	288.a1.a1	$1$	144.a1.a1	$2$	$144$	$2$