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Results (45 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
144.71.1a	$1$	R		$1$	$\Q$	144.71.1a	$C_{24}:C_6$	$C_1$	$1$	1.a1.a1	$144$	1.a1.a1	$144$	$1$	$1$
144.71.1b	$1$	R		$1$	$\Q$	144.71.1b	$C_{24}:C_6$	$C_2$	$2$	2.c1.a1	$72$	1.a1.a1	$144$	$1$	$1$
144.71.1c	$1$	R		$1$	$\Q$	144.71.1c	$C_{24}:C_6$	$C_2$	$2$	2.b1.a1	$72$	1.a1.a1	$144$	$1$	$1$
144.71.1d	$1$	R		$1$	$\Q$	144.71.1d	$C_{24}:C_6$	$C_2$	$2$	2.a1.a1	$72$	1.a1.a1	$144$	$1$	$1$
144.71.1e1	$1$	C		$3$	$\Q(\sqrt{-3}) $	144.71.1e	$C_{24}:C_6$	$C_3$	$3$	3.a1.a1	$48$	1.a1.a1	$144$	$1$	$1$
144.71.1e2	$1$	C		$3$	$\Q(\sqrt{-3}) $	144.71.1e	$C_{24}:C_6$	$C_3$	$3$	3.a1.a1	$48$	1.a1.a1	$144$	$1$	$1$
144.71.1f1	$1$	C		$3$	$\Q(\sqrt{-3}) $	144.71.1f	$C_{24}:C_6$	$C_6$	$6$	6.d1.a1	$24$	1.a1.a1	$144$	$1$	$1$
144.71.1f2	$1$	C		$3$	$\Q(\sqrt{-3}) $	144.71.1f	$C_{24}:C_6$	$C_6$	$6$	6.d1.a1	$24$	1.a1.a1	$144$	$1$	$1$
144.71.1g1	$1$	C		$3$	$\Q(\sqrt{-3}) $	144.71.1g	$C_{24}:C_6$	$C_6$	$6$	6.c1.a1	$24$	1.a1.a1	$144$	$1$	$1$
144.71.1g2	$1$	C		$3$	$\Q(\sqrt{-3}) $	144.71.1g	$C_{24}:C_6$	$C_6$	$6$	6.c1.a1	$24$	1.a1.a1	$144$	$1$	$1$
144.71.1h1	$1$	C		$3$	$\Q(\sqrt{-3}) $	144.71.1h	$C_{24}:C_6$	$C_6$	$6$	6.a1.a1	$24$	1.a1.a1	$144$	$1$	$1$
144.71.1h2	$1$	C		$3$	$\Q(\sqrt{-3}) $	144.71.1h	$C_{24}:C_6$	$C_6$	$6$	6.a1.a1	$24$	1.a1.a1	$144$	$1$	$1$
144.71.2a	$2$	R		$1$	$\Q$	144.71.2a	$C_{24}:C_6$	$S_3$	$6$	6.b1.a1	$24$	6.b1.a1	$24$	$6$	$1$
144.71.2b	$2$	R		$1$	$\Q$	144.71.2b	$C_{24}:C_6$	$D_4$	$8$	8.a1.a1	$18$	4.a1.a1	$36$	$4$	$1$
144.71.2c	$2$	R		$1$	$\Q$	144.71.2c	$C_{24}:C_6$	$D_6$	$12$	12.a1.a1	$12$	6.b1.a1	$24$	$6$	$1$
144.71.2d1	$2$	C		$3$	$\Q(\sqrt{-3}) $	144.71.2d	$C_{24}:C_6$	$C_3\times S_3$	$18$	18.a1.a1	$8$	6.b1.a1	$24$	$6$	$1$
144.71.2d2	$2$	C		$3$	$\Q(\sqrt{-3}) $	144.71.2d	$C_{24}:C_6$	$C_3\times S_3$	$18$	18.a1.a1	$8$	6.b1.a1	$24$	$6$	$1$
144.71.2e1	$2$	C		$8$	$\Q(\sqrt{-2}) $	144.71.2e	$C_{24}:C_6$	$\SD_{16}$	$16$	16.a1.a1	$9$	8.a1.a1	$18$	$8$	$1$
144.71.2e2	$2$	C		$8$	$\Q(\sqrt{-2}) $	144.71.2e	$C_{24}:C_6$	$\SD_{16}$	$16$	16.a1.a1	$9$	8.a1.a1	$18$	$8$	$1$
144.71.2f1	$2$	R		$12$	$\Q(\sqrt{3}) $	144.71.2f	$C_{24}:C_6$	$D_{12}$	$24$	24.a1.a1	$6$	12.a1.a1	$12$	$12$	$1$
144.71.2f2	$2$	R		$12$	$\Q(\sqrt{3}) $	144.71.2f	$C_{24}:C_6$	$D_{12}$	$24$	24.a1.a1	$6$	12.a1.a1	$12$	$12$	$1$
144.71.2g1	$2$	C		$3$	$\Q(\sqrt{-3}) $	144.71.2g	$C_{24}:C_6$	$C_3\times D_4$	$24$	24.b1.a1	$6$	4.a1.a1	$36$	$4$	$1$
144.71.2g2	$2$	C		$3$	$\Q(\sqrt{-3}) $	144.71.2g	$C_{24}:C_6$	$C_3\times D_4$	$24$	24.b1.a1	$6$	4.a1.a1	$36$	$4$	$1$
144.71.2h1	$2$	C		$3$	$\Q(\sqrt{-3}) $	144.71.2h	$C_{24}:C_6$	$C_6\times S_3$	$36$	36.a1.a1	$4$	6.b1.a1	$24$	$6$	$1$
144.71.2h2	$2$	C		$3$	$\Q(\sqrt{-3}) $	144.71.2h	$C_{24}:C_6$	$C_6\times S_3$	$36$	36.a1.a1	$4$	6.b1.a1	$24$	$6$	$1$
144.71.2i1	$2$	C		$24$	$\Q(\sqrt{-2}, \sqrt{3})$	144.71.2i	$C_{24}:C_6$	$C_{24}:C_2$	$48$	48.a1.a1	$3$	24.a1.a1	$6$	$24$	$1$
144.71.2i2	$2$	C		$24$	$\Q(\sqrt{-2}, \sqrt{3})$	144.71.2i	$C_{24}:C_6$	$C_{24}:C_2$	$48$	48.a1.a1	$3$	24.a1.a1	$6$	$24$	$1$
144.71.2i3	$2$	C		$24$	$\Q(\sqrt{-2}, \sqrt{3})$	144.71.2i	$C_{24}:C_6$	$C_{24}:C_2$	$48$	48.a1.a1	$3$	24.a1.a1	$6$	$24$	$1$
144.71.2i4	$2$	C		$24$	$\Q(\sqrt{-2}, \sqrt{3})$	144.71.2i	$C_{24}:C_6$	$C_{24}:C_2$	$48$	48.a1.a1	$3$	24.a1.a1	$6$	$24$	$1$
144.71.2j1	$2$	C		$24$	$\Q(\sqrt{-2}, \sqrt{-3})$	144.71.2j	$C_{24}:C_6$	$C_3\times \SD_{16}$	$48$	48.b1.a1	$3$	8.a1.a1	$18$	$8$	$1$
144.71.2j2	$2$	C		$24$	$\Q(\sqrt{-2}, \sqrt{-3})$	144.71.2j	$C_{24}:C_6$	$C_3\times \SD_{16}$	$48$	48.b1.a1	$3$	8.a1.a1	$18$	$8$	$1$
144.71.2j3	$2$	C		$24$	$\Q(\sqrt{-2}, \sqrt{-3})$	144.71.2j	$C_{24}:C_6$	$C_3\times \SD_{16}$	$48$	48.b1.a1	$3$	8.a1.a1	$18$	$8$	$1$
144.71.2j4	$2$	C		$24$	$\Q(\sqrt{-2}, \sqrt{-3})$	144.71.2j	$C_{24}:C_6$	$C_3\times \SD_{16}$	$48$	48.b1.a1	$3$	8.a1.a1	$18$	$8$	$1$
144.71.2k1	$2$	C		$12$	$\Q(\sqrt{-1}) $	144.71.2k	$C_{24}:C_6$	$C_3\times D_{12}$	$72$	72.a1.a1	$2$	12.a1.a1	$12$	$12$	$1$
144.71.2k2	$2$	C		$12$	$\Q(\sqrt{-1}) $	144.71.2k	$C_{24}:C_6$	$C_3\times D_{12}$	$72$	72.a1.a1	$2$	12.a1.a1	$12$	$12$	$1$
144.71.2k3	$2$	C		$12$	$\Q(\sqrt{-1}) $	144.71.2k	$C_{24}:C_6$	$C_3\times D_{12}$	$72$	72.a1.a1	$2$	12.a1.a1	$12$	$12$	$1$
144.71.2k4	$2$	C		$12$	$\Q(\sqrt{-1}) $	144.71.2k	$C_{24}:C_6$	$C_3\times D_{12}$	$72$	72.a1.a1	$2$	12.a1.a1	$12$	$12$	$1$
144.71.2l1	$2$	C	✓	$24$	$\Q(\zeta_{8})$	144.71.2l	$C_{24}:C_6$	$C_{24}:C_6$	$144$	144.a1.a1	$1$	24.a1.a1	$6$	$24$	$1$
144.71.2l2	$2$	C	✓	$24$	$\Q(\zeta_{8})$	144.71.2l	$C_{24}:C_6$	$C_{24}:C_6$	$144$	144.a1.a1	$1$	24.a1.a1	$6$	$24$	$1$
144.71.2l3	$2$	C	✓	$24$	$\Q(\zeta_{8})$	144.71.2l	$C_{24}:C_6$	$C_{24}:C_6$	$144$	144.a1.a1	$1$	24.a1.a1	$6$	$24$	$1$
144.71.2l4	$2$	C	✓	$24$	$\Q(\zeta_{8})$	144.71.2l	$C_{24}:C_6$	$C_{24}:C_6$	$144$	144.a1.a1	$1$	24.a1.a1	$6$	$24$	$1$
144.71.2l5	$2$	C	✓	$24$	$\Q(\zeta_{8})$	144.71.2l	$C_{24}:C_6$	$C_{24}:C_6$	$144$	144.a1.a1	$1$	24.a1.a1	$6$	$24$	$1$
144.71.2l6	$2$	C	✓	$24$	$\Q(\zeta_{8})$	144.71.2l	$C_{24}:C_6$	$C_{24}:C_6$	$144$	144.a1.a1	$1$	24.a1.a1	$6$	$24$	$1$
144.71.2l7	$2$	C	✓	$24$	$\Q(\zeta_{8})$	144.71.2l	$C_{24}:C_6$	$C_{24}:C_6$	$144$	144.a1.a1	$1$	24.a1.a1	$6$	$24$	$1$
144.71.2l8	$2$	C	✓	$24$	$\Q(\zeta_{8})$	144.71.2l	$C_{24}:C_6$	$C_{24}:C_6$	$144$	144.a1.a1	$1$	24.a1.a1	$6$	$24$	$1$

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Elliptic curves over $\Q$
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Results (45 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
144.71.1a	$1$	R		$1$	\(\Q\)	144.71.1a	$C_{24}:C_6$	$C_1$	$1$	1.a1.a1	$144$	1.a1.a1	$144$	$1$	$1$
144.71.1b	$1$	R		$1$	\(\Q\)	144.71.1b	$C_{24}:C_6$	$C_2$	$2$	2.c1.a1	$72$	1.a1.a1	$144$	$1$	$1$
144.71.1c	$1$	R		$1$	\(\Q\)	144.71.1c	$C_{24}:C_6$	$C_2$	$2$	2.b1.a1	$72$	1.a1.a1	$144$	$1$	$1$
144.71.1d	$1$	R		$1$	\(\Q\)	144.71.1d	$C_{24}:C_6$	$C_2$	$2$	2.a1.a1	$72$	1.a1.a1	$144$	$1$	$1$
144.71.1e1	$1$	C		$3$	\(\Q(\sqrt{-3}) \)	144.71.1e	$C_{24}:C_6$	$C_3$	$3$	3.a1.a1	$48$	1.a1.a1	$144$	$1$	$1$
144.71.1e2	$1$	C		$3$	\(\Q(\sqrt{-3}) \)	144.71.1e	$C_{24}:C_6$	$C_3$	$3$	3.a1.a1	$48$	1.a1.a1	$144$	$1$	$1$
144.71.1f1	$1$	C		$3$	\(\Q(\sqrt{-3}) \)	144.71.1f	$C_{24}:C_6$	$C_6$	$6$	6.d1.a1	$24$	1.a1.a1	$144$	$1$	$1$
144.71.1f2	$1$	C		$3$	\(\Q(\sqrt{-3}) \)	144.71.1f	$C_{24}:C_6$	$C_6$	$6$	6.d1.a1	$24$	1.a1.a1	$144$	$1$	$1$
144.71.1g1	$1$	C		$3$	\(\Q(\sqrt{-3}) \)	144.71.1g	$C_{24}:C_6$	$C_6$	$6$	6.c1.a1	$24$	1.a1.a1	$144$	$1$	$1$
144.71.1g2	$1$	C		$3$	\(\Q(\sqrt{-3}) \)	144.71.1g	$C_{24}:C_6$	$C_6$	$6$	6.c1.a1	$24$	1.a1.a1	$144$	$1$	$1$
144.71.1h1	$1$	C		$3$	\(\Q(\sqrt{-3}) \)	144.71.1h	$C_{24}:C_6$	$C_6$	$6$	6.a1.a1	$24$	1.a1.a1	$144$	$1$	$1$
144.71.1h2	$1$	C		$3$	\(\Q(\sqrt{-3}) \)	144.71.1h	$C_{24}:C_6$	$C_6$	$6$	6.a1.a1	$24$	1.a1.a1	$144$	$1$	$1$
144.71.2a	$2$	R		$1$	\(\Q\)	144.71.2a	$C_{24}:C_6$	$S_3$	$6$	6.b1.a1	$24$	6.b1.a1	$24$	$6$	$1$
144.71.2b	$2$	R		$1$	\(\Q\)	144.71.2b	$C_{24}:C_6$	$D_4$	$8$	8.a1.a1	$18$	4.a1.a1	$36$	$4$	$1$
144.71.2c	$2$	R		$1$	\(\Q\)	144.71.2c	$C_{24}:C_6$	$D_6$	$12$	12.a1.a1	$12$	6.b1.a1	$24$	$6$	$1$
144.71.2d1	$2$	C		$3$	\(\Q(\sqrt{-3}) \)	144.71.2d	$C_{24}:C_6$	$C_3\times S_3$	$18$	18.a1.a1	$8$	6.b1.a1	$24$	$6$	$1$
144.71.2d2	$2$	C		$3$	\(\Q(\sqrt{-3}) \)	144.71.2d	$C_{24}:C_6$	$C_3\times S_3$	$18$	18.a1.a1	$8$	6.b1.a1	$24$	$6$	$1$
144.71.2e1	$2$	C		$8$	\(\Q(\sqrt{-2}) \)	144.71.2e	$C_{24}:C_6$	$\SD_{16}$	$16$	16.a1.a1	$9$	8.a1.a1	$18$	$8$	$1$
144.71.2e2	$2$	C		$8$	\(\Q(\sqrt{-2}) \)	144.71.2e	$C_{24}:C_6$	$\SD_{16}$	$16$	16.a1.a1	$9$	8.a1.a1	$18$	$8$	$1$
144.71.2f1	$2$	R		$12$	\(\Q(\sqrt{3}) \)	144.71.2f	$C_{24}:C_6$	$D_{12}$	$24$	24.a1.a1	$6$	12.a1.a1	$12$	$12$	$1$
144.71.2f2	$2$	R		$12$	\(\Q(\sqrt{3}) \)	144.71.2f	$C_{24}:C_6$	$D_{12}$	$24$	24.a1.a1	$6$	12.a1.a1	$12$	$12$	$1$
144.71.2g1	$2$	C		$3$	\(\Q(\sqrt{-3}) \)	144.71.2g	$C_{24}:C_6$	$C_3\times D_4$	$24$	24.b1.a1	$6$	4.a1.a1	$36$	$4$	$1$
144.71.2g2	$2$	C		$3$	\(\Q(\sqrt{-3}) \)	144.71.2g	$C_{24}:C_6$	$C_3\times D_4$	$24$	24.b1.a1	$6$	4.a1.a1	$36$	$4$	$1$
144.71.2h1	$2$	C		$3$	\(\Q(\sqrt{-3}) \)	144.71.2h	$C_{24}:C_6$	$C_6\times S_3$	$36$	36.a1.a1	$4$	6.b1.a1	$24$	$6$	$1$
144.71.2h2	$2$	C		$3$	\(\Q(\sqrt{-3}) \)	144.71.2h	$C_{24}:C_6$	$C_6\times S_3$	$36$	36.a1.a1	$4$	6.b1.a1	$24$	$6$	$1$
144.71.2i1	$2$	C		$24$	\(\Q(\sqrt{-2}, \sqrt{3})\)	144.71.2i	$C_{24}:C_6$	$C_{24}:C_2$	$48$	48.a1.a1	$3$	24.a1.a1	$6$	$24$	$1$
144.71.2i2	$2$	C		$24$	\(\Q(\sqrt{-2}, \sqrt{3})\)	144.71.2i	$C_{24}:C_6$	$C_{24}:C_2$	$48$	48.a1.a1	$3$	24.a1.a1	$6$	$24$	$1$
144.71.2i3	$2$	C		$24$	\(\Q(\sqrt{-2}, \sqrt{3})\)	144.71.2i	$C_{24}:C_6$	$C_{24}:C_2$	$48$	48.a1.a1	$3$	24.a1.a1	$6$	$24$	$1$
144.71.2i4	$2$	C		$24$	\(\Q(\sqrt{-2}, \sqrt{3})\)	144.71.2i	$C_{24}:C_6$	$C_{24}:C_2$	$48$	48.a1.a1	$3$	24.a1.a1	$6$	$24$	$1$
144.71.2j1	$2$	C		$24$	\(\Q(\sqrt{-2}, \sqrt{-3})\)	144.71.2j	$C_{24}:C_6$	$C_3\times \SD_{16}$	$48$	48.b1.a1	$3$	8.a1.a1	$18$	$8$	$1$
144.71.2j2	$2$	C		$24$	\(\Q(\sqrt{-2}, \sqrt{-3})\)	144.71.2j	$C_{24}:C_6$	$C_3\times \SD_{16}$	$48$	48.b1.a1	$3$	8.a1.a1	$18$	$8$	$1$
144.71.2j3	$2$	C		$24$	\(\Q(\sqrt{-2}, \sqrt{-3})\)	144.71.2j	$C_{24}:C_6$	$C_3\times \SD_{16}$	$48$	48.b1.a1	$3$	8.a1.a1	$18$	$8$	$1$
144.71.2j4	$2$	C		$24$	\(\Q(\sqrt{-2}, \sqrt{-3})\)	144.71.2j	$C_{24}:C_6$	$C_3\times \SD_{16}$	$48$	48.b1.a1	$3$	8.a1.a1	$18$	$8$	$1$
144.71.2k1	$2$	C		$12$	\(\Q(\sqrt{-1}) \)	144.71.2k	$C_{24}:C_6$	$C_3\times D_{12}$	$72$	72.a1.a1	$2$	12.a1.a1	$12$	$12$	$1$
144.71.2k2	$2$	C		$12$	\(\Q(\sqrt{-1}) \)	144.71.2k	$C_{24}:C_6$	$C_3\times D_{12}$	$72$	72.a1.a1	$2$	12.a1.a1	$12$	$12$	$1$
144.71.2k3	$2$	C		$12$	\(\Q(\sqrt{-1}) \)	144.71.2k	$C_{24}:C_6$	$C_3\times D_{12}$	$72$	72.a1.a1	$2$	12.a1.a1	$12$	$12$	$1$
144.71.2k4	$2$	C		$12$	\(\Q(\sqrt{-1}) \)	144.71.2k	$C_{24}:C_6$	$C_3\times D_{12}$	$72$	72.a1.a1	$2$	12.a1.a1	$12$	$12$	$1$
144.71.2l1	$2$	C	✓	$24$	\(\Q(\zeta_{8})\)	144.71.2l	$C_{24}:C_6$	$C_{24}:C_6$	$144$	144.a1.a1	$1$	24.a1.a1	$6$	$24$	$1$
144.71.2l2	$2$	C	✓	$24$	\(\Q(\zeta_{8})\)	144.71.2l	$C_{24}:C_6$	$C_{24}:C_6$	$144$	144.a1.a1	$1$	24.a1.a1	$6$	$24$	$1$
144.71.2l3	$2$	C	✓	$24$	\(\Q(\zeta_{8})\)	144.71.2l	$C_{24}:C_6$	$C_{24}:C_6$	$144$	144.a1.a1	$1$	24.a1.a1	$6$	$24$	$1$
144.71.2l4	$2$	C	✓	$24$	\(\Q(\zeta_{8})\)	144.71.2l	$C_{24}:C_6$	$C_{24}:C_6$	$144$	144.a1.a1	$1$	24.a1.a1	$6$	$24$	$1$
144.71.2l5	$2$	C	✓	$24$	\(\Q(\zeta_{8})\)	144.71.2l	$C_{24}:C_6$	$C_{24}:C_6$	$144$	144.a1.a1	$1$	24.a1.a1	$6$	$24$	$1$
144.71.2l6	$2$	C	✓	$24$	\(\Q(\zeta_{8})\)	144.71.2l	$C_{24}:C_6$	$C_{24}:C_6$	$144$	144.a1.a1	$1$	24.a1.a1	$6$	$24$	$1$
144.71.2l7	$2$	C	✓	$24$	\(\Q(\zeta_{8})\)	144.71.2l	$C_{24}:C_6$	$C_{24}:C_6$	$144$	144.a1.a1	$1$	24.a1.a1	$6$	$24$	$1$
144.71.2l8	$2$	C	✓	$24$	\(\Q(\zeta_{8})\)	144.71.2l	$C_{24}:C_6$	$C_{24}:C_6$	$144$	144.a1.a1	$1$	24.a1.a1	$6$	$24$	$1$