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Results (26 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
432.238.1a	$1$	R		$1$	$\Q$	432.238.1a	$C_6.\SOPlus(4,2)$	$C_1$	$1$	1.a1.a1	$432$	1.a1.a1	$432$	$1$	$1$
432.238.1b	$1$	R		$1$	$\Q$	432.238.1b	$C_6.\SOPlus(4,2)$	$C_2$	$2$	2.c1.a1	$216$	1.a1.a1	$432$	$1$	$1$
432.238.1c	$1$	R		$1$	$\Q$	432.238.1c	$C_6.\SOPlus(4,2)$	$C_2$	$2$	2.b1.a1	$216$	1.a1.a1	$432$	$1$	$1$
432.238.1d	$1$	R		$1$	$\Q$	432.238.1d	$C_6.\SOPlus(4,2)$	$C_2$	$2$	2.a1.a1	$216$	1.a1.a1	$432$	$1$	$1$
432.238.1e1	$1$	C		$4$	$\Q(\sqrt{-1}) $	432.238.1e	$C_6.\SOPlus(4,2)$	$C_4$	$4$	4.b1.b1	$108$	1.a1.a1	$432$	$1$	$1$
432.238.1e2	$1$	C		$4$	$\Q(\sqrt{-1}) $	432.238.1e	$C_6.\SOPlus(4,2)$	$C_4$	$4$	4.b1.b1	$108$	1.a1.a1	$432$	$1$	$1$
432.238.1f1	$1$	C		$4$	$\Q(\sqrt{-1}) $	432.238.1f	$C_6.\SOPlus(4,2)$	$C_4$	$4$	4.b1.a1	$108$	1.a1.a1	$432$	$1$	$1$
432.238.1f2	$1$	C		$4$	$\Q(\sqrt{-1}) $	432.238.1f	$C_6.\SOPlus(4,2)$	$C_4$	$4$	4.b1.a1	$108$	1.a1.a1	$432$	$1$	$1$
432.238.2a	$2$	R		$1$	$\Q$	432.238.2a	$C_6.\SOPlus(4,2)$	$D_4$	$8$	8.c1.a1	$54$	4.a1.a1	$108$	$4$	$1$
432.238.2b	$2$	R		$1$	$\Q$	432.238.2b	$C_6.\SOPlus(4,2)$	$D_4$	$8$	8.a1.a1	$54$	4.a1.a1	$108$	$4$	$1$
432.238.4a	$4$	R		$1$	$\Q$	432.238.4a	$C_6.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$6$	72.a1.a1	$6$	$72$	$1$
432.238.4b	$4$	R		$1$	$\Q$	432.238.4b	$C_6.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$6$	72.a1.a1	$6$	$72$	$1$
432.238.4c	$4$	R		$1$	$\Q$	432.238.4c	$C_6.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$6$	72.a1.a1	$6$	$72$	$1$
432.238.4d	$4$	R		$1$	$\Q$	432.238.4d	$C_6.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$6$	72.a1.a1	$6$	$72$	$1$
432.238.4e	$4$	R		$1$	$\Q$	432.238.4e	$C_6.\SOPlus(4,2)$	$S_3^2:C_4$	$144$	144.a1.a1	$3$	72.a1.a1	$6$	$72$	$1$
432.238.4f	$4$	R		$1$	$\Q$	432.238.4f	$C_6.\SOPlus(4,2)$	$S_3^2:C_4$	$144$	144.a1.a1	$3$	72.a1.a1	$6$	$72$	$1$
432.238.4g1	$4$	C		$4$	$\Q(\sqrt{-1}) $	432.238.4g	$C_6.\SOPlus(4,2)$	$S_3^2:C_4$	$144$	144.a1.a1	$3$	72.a1.a1	$6$	$72$	$1$
432.238.4g2	$4$	C		$4$	$\Q(\sqrt{-1}) $	432.238.4g	$C_6.\SOPlus(4,2)$	$S_3^2:C_4$	$144$	144.a1.a1	$3$	72.a1.a1	$6$	$72$	$1$
432.238.6a	$6$	R		$1$	$\Q$	432.238.6a	$C_6.\SOPlus(4,2)$	$\He_3:D_4$	$216$	216.a1.a1	$2$	216.a1.a1	$2$	$216$	$1$
432.238.6b	$6$	R		$1$	$\Q$	432.238.6b	$C_6.\SOPlus(4,2)$	$\He_3:D_4$	$216$	216.a1.a1	$2$	216.a1.a1	$2$	$216$	$1$
432.238.6c1	$6$	R		$12$	$\Q(\sqrt{3}) $	432.238.6c	$C_6.\SOPlus(4,2)$	$\He_3:D_4$	$216$	216.a1.a1	$2$	216.a1.a1	$2$	$216$	$1$
432.238.6c2	$6$	R		$12$	$\Q(\sqrt{3}) $	432.238.6c	$C_6.\SOPlus(4,2)$	$\He_3:D_4$	$216$	216.a1.a1	$2$	216.a1.a1	$2$	$216$	$1$
432.238.6d1	$6$	C	✓	$4$	$\Q(\sqrt{-1}) $	432.238.6d	$C_6.\SOPlus(4,2)$	$C_6.\SOPlus(4,2)$	$432$	432.a1.a1	$1$	216.a1.a1	$2$	$216$	$1$
432.238.6d2	$6$	C	✓	$4$	$\Q(\sqrt{-1}) $	432.238.6d	$C_6.\SOPlus(4,2)$	$C_6.\SOPlus(4,2)$	$432$	432.a1.a1	$1$	216.a1.a1	$2$	$216$	$1$
432.238.6e1	$6$	C	✓	$3$	$\Q(\sqrt{-3}) $	432.238.6e	$C_6.\SOPlus(4,2)$	$C_6.\SOPlus(4,2)$	$432$	432.a1.a1	$1$	216.a1.a1	$2$	$216$	$1$
432.238.6e2	$6$	C	✓	$3$	$\Q(\sqrt{-3}) $	432.238.6e	$C_6.\SOPlus(4,2)$	$C_6.\SOPlus(4,2)$	$432$	432.a1.a1	$1$	216.a1.a1	$2$	$216$	$1$

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Elliptic curves over $\Q$
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Results (26 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
432.238.1a	$1$	R		$1$	\(\Q\)	432.238.1a	$C_6.\SOPlus(4,2)$	$C_1$	$1$	1.a1.a1	$432$	1.a1.a1	$432$	$1$	$1$
432.238.1b	$1$	R		$1$	\(\Q\)	432.238.1b	$C_6.\SOPlus(4,2)$	$C_2$	$2$	2.c1.a1	$216$	1.a1.a1	$432$	$1$	$1$
432.238.1c	$1$	R		$1$	\(\Q\)	432.238.1c	$C_6.\SOPlus(4,2)$	$C_2$	$2$	2.b1.a1	$216$	1.a1.a1	$432$	$1$	$1$
432.238.1d	$1$	R		$1$	\(\Q\)	432.238.1d	$C_6.\SOPlus(4,2)$	$C_2$	$2$	2.a1.a1	$216$	1.a1.a1	$432$	$1$	$1$
432.238.1e1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	432.238.1e	$C_6.\SOPlus(4,2)$	$C_4$	$4$	4.b1.b1	$108$	1.a1.a1	$432$	$1$	$1$
432.238.1e2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	432.238.1e	$C_6.\SOPlus(4,2)$	$C_4$	$4$	4.b1.b1	$108$	1.a1.a1	$432$	$1$	$1$
432.238.1f1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	432.238.1f	$C_6.\SOPlus(4,2)$	$C_4$	$4$	4.b1.a1	$108$	1.a1.a1	$432$	$1$	$1$
432.238.1f2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	432.238.1f	$C_6.\SOPlus(4,2)$	$C_4$	$4$	4.b1.a1	$108$	1.a1.a1	$432$	$1$	$1$
432.238.2a	$2$	R		$1$	\(\Q\)	432.238.2a	$C_6.\SOPlus(4,2)$	$D_4$	$8$	8.c1.a1	$54$	4.a1.a1	$108$	$4$	$1$
432.238.2b	$2$	R		$1$	\(\Q\)	432.238.2b	$C_6.\SOPlus(4,2)$	$D_4$	$8$	8.a1.a1	$54$	4.a1.a1	$108$	$4$	$1$
432.238.4a	$4$	R		$1$	\(\Q\)	432.238.4a	$C_6.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$6$	72.a1.a1	$6$	$72$	$1$
432.238.4b	$4$	R		$1$	\(\Q\)	432.238.4b	$C_6.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$6$	72.a1.a1	$6$	$72$	$1$
432.238.4c	$4$	R		$1$	\(\Q\)	432.238.4c	$C_6.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$6$	72.a1.a1	$6$	$72$	$1$
432.238.4d	$4$	R		$1$	\(\Q\)	432.238.4d	$C_6.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$6$	72.a1.a1	$6$	$72$	$1$
432.238.4e	$4$	R		$1$	\(\Q\)	432.238.4e	$C_6.\SOPlus(4,2)$	$S_3^2:C_4$	$144$	144.a1.a1	$3$	72.a1.a1	$6$	$72$	$1$
432.238.4f	$4$	R		$1$	\(\Q\)	432.238.4f	$C_6.\SOPlus(4,2)$	$S_3^2:C_4$	$144$	144.a1.a1	$3$	72.a1.a1	$6$	$72$	$1$
432.238.4g1	$4$	C		$4$	\(\Q(\sqrt{-1}) \)	432.238.4g	$C_6.\SOPlus(4,2)$	$S_3^2:C_4$	$144$	144.a1.a1	$3$	72.a1.a1	$6$	$72$	$1$
432.238.4g2	$4$	C		$4$	\(\Q(\sqrt{-1}) \)	432.238.4g	$C_6.\SOPlus(4,2)$	$S_3^2:C_4$	$144$	144.a1.a1	$3$	72.a1.a1	$6$	$72$	$1$
432.238.6a	$6$	R		$1$	\(\Q\)	432.238.6a	$C_6.\SOPlus(4,2)$	$\He_3:D_4$	$216$	216.a1.a1	$2$	216.a1.a1	$2$	$216$	$1$
432.238.6b	$6$	R		$1$	\(\Q\)	432.238.6b	$C_6.\SOPlus(4,2)$	$\He_3:D_4$	$216$	216.a1.a1	$2$	216.a1.a1	$2$	$216$	$1$
432.238.6c1	$6$	R		$12$	\(\Q(\sqrt{3}) \)	432.238.6c	$C_6.\SOPlus(4,2)$	$\He_3:D_4$	$216$	216.a1.a1	$2$	216.a1.a1	$2$	$216$	$1$
432.238.6c2	$6$	R		$12$	\(\Q(\sqrt{3}) \)	432.238.6c	$C_6.\SOPlus(4,2)$	$\He_3:D_4$	$216$	216.a1.a1	$2$	216.a1.a1	$2$	$216$	$1$
432.238.6d1	$6$	C	✓	$4$	\(\Q(\sqrt{-1}) \)	432.238.6d	$C_6.\SOPlus(4,2)$	$C_6.\SOPlus(4,2)$	$432$	432.a1.a1	$1$	216.a1.a1	$2$	$216$	$1$
432.238.6d2	$6$	C	✓	$4$	\(\Q(\sqrt{-1}) \)	432.238.6d	$C_6.\SOPlus(4,2)$	$C_6.\SOPlus(4,2)$	$432$	432.a1.a1	$1$	216.a1.a1	$2$	$216$	$1$
432.238.6e1	$6$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	432.238.6e	$C_6.\SOPlus(4,2)$	$C_6.\SOPlus(4,2)$	$432$	432.a1.a1	$1$	216.a1.a1	$2$	$216$	$1$
432.238.6e2	$6$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	432.238.6e	$C_6.\SOPlus(4,2)$	$C_6.\SOPlus(4,2)$	$432$	432.a1.a1	$1$	216.a1.a1	$2$	$216$	$1$