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Results (44 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
480.1031.1a	$1$	R		$1$	$\Q$	480.1031.1a	$C_{20}.S_4$	$C_1$	$1$	1.a1.a1	$480$	1.a1.a1	$480$	$1$	$1$
480.1031.1b	$1$	R		$1$	$\Q$	480.1031.1b	$C_{20}.S_4$	$C_2$	$2$	2.c1.a1	$240$	1.a1.a1	$480$	$1$	$1$
480.1031.1c	$1$	R		$1$	$\Q$	480.1031.1c	$C_{20}.S_4$	$C_2$	$2$	2.b1.a1	$240$	1.a1.a1	$480$	$1$	$1$
480.1031.1d	$1$	R		$1$	$\Q$	480.1031.1d	$C_{20}.S_4$	$C_2$	$2$	2.a1.a1	$240$	1.a1.a1	$480$	$1$	$1$
480.1031.2a	$2$	R		$1$	$\Q$	480.1031.2a	$C_{20}.S_4$	$S_3$	$6$	6.a1.a1	$80$	6.a1.a1	$80$	$6$	$1$
480.1031.2b	$2$	R		$1$	$\Q$	480.1031.2b	$C_{20}.S_4$	$D_6$	$12$	12.a1.a1	$40$	6.a1.a1	$80$	$6$	$1$
480.1031.2c1	$2$	R		$5$	$\Q(\sqrt{5}) $	480.1031.2c	$C_{20}.S_4$	$D_5$	$10$	10.a1.a1	$48$	10.a1.a1	$48$	$10$	$1$
480.1031.2c2	$2$	R		$5$	$\Q(\sqrt{5}) $	480.1031.2c	$C_{20}.S_4$	$D_5$	$10$	10.a1.a1	$48$	10.a1.a1	$48$	$10$	$1$
480.1031.2d1	$2$	R		$5$	$\Q(\sqrt{5}) $	480.1031.2d	$C_{20}.S_4$	$D_{10}$	$20$	20.a1.a1	$24$	10.a1.a1	$48$	$10$	$1$
480.1031.2d2	$2$	R		$5$	$\Q(\sqrt{5}) $	480.1031.2d	$C_{20}.S_4$	$D_{10}$	$20$	20.a1.a1	$24$	10.a1.a1	$48$	$10$	$1$
480.1031.2e1	$2$	R		$15$	$\Q(\zeta_{15})^+$	480.1031.2e	$C_{20}.S_4$	$D_{15}$	$30$	30.a1.a1	$16$	30.a1.a1	$16$	$30$	$1$
480.1031.2e2	$2$	R		$15$	$\Q(\zeta_{15})^+$	480.1031.2e	$C_{20}.S_4$	$D_{15}$	$30$	30.a1.a1	$16$	30.a1.a1	$16$	$30$	$1$
480.1031.2e3	$2$	R		$15$	$\Q(\zeta_{15})^+$	480.1031.2e	$C_{20}.S_4$	$D_{15}$	$30$	30.a1.a1	$16$	30.a1.a1	$16$	$30$	$1$
480.1031.2e4	$2$	R		$15$	$\Q(\zeta_{15})^+$	480.1031.2e	$C_{20}.S_4$	$D_{15}$	$30$	30.a1.a1	$16$	30.a1.a1	$16$	$30$	$1$
480.1031.2f1	$2$	R		$15$	$\Q(\zeta_{15})^+$	480.1031.2f	$C_{20}.S_4$	$D_{30}$	$60$	60.a1.a1	$8$	30.a1.a1	$16$	$30$	$1$
480.1031.2f2	$2$	R		$15$	$\Q(\zeta_{15})^+$	480.1031.2f	$C_{20}.S_4$	$D_{30}$	$60$	60.a1.a1	$8$	30.a1.a1	$16$	$30$	$1$
480.1031.2f3	$2$	R		$15$	$\Q(\zeta_{15})^+$	480.1031.2f	$C_{20}.S_4$	$D_{30}$	$60$	60.a1.a1	$8$	30.a1.a1	$16$	$30$	$1$
480.1031.2f4	$2$	R		$15$	$\Q(\zeta_{15})^+$	480.1031.2f	$C_{20}.S_4$	$D_{30}$	$60$	60.a1.a1	$8$	30.a1.a1	$16$	$30$	$1$
480.1031.2g1	$2$	C		$8$	$\Q(\zeta_{8})$	480.1031.2g	$C_{20}.S_4$	$\GL(2,3):C_2$	$96$	96.a1.a1	$5$	24.a1.a1	$20$	$24$	$1$
480.1031.2g2	$2$	C		$8$	$\Q(\zeta_{8})$	480.1031.2g	$C_{20}.S_4$	$\GL(2,3):C_2$	$96$	96.a1.a1	$5$	24.a1.a1	$20$	$24$	$1$
480.1031.2g3	$2$	C		$8$	$\Q(\zeta_{8})$	480.1031.2g	$C_{20}.S_4$	$\GL(2,3):C_2$	$96$	96.a1.a1	$5$	24.a1.a1	$20$	$24$	$1$
480.1031.2g4	$2$	C		$8$	$\Q(\zeta_{8})$	480.1031.2g	$C_{20}.S_4$	$\GL(2,3):C_2$	$96$	96.a1.a1	$5$	24.a1.a1	$20$	$24$	$1$
480.1031.3a	$3$	R		$1$	$\Q$	480.1031.3a	$C_{20}.S_4$	$S_4$	$24$	24.a1.a1	$20$	24.a1.a1	$20$	$24$	$1$
480.1031.3b	$3$	R		$1$	$\Q$	480.1031.3b	$C_{20}.S_4$	$S_4$	$24$	24.a1.a1	$20$	24.a1.a1	$20$	$24$	$1$
480.1031.3c	$3$	R		$1$	$\Q$	480.1031.3c	$C_{20}.S_4$	$C_2\times S_4$	$48$	48.a1.a1	$10$	24.a1.a1	$20$	$24$	$1$
480.1031.3d	$3$	R		$1$	$\Q$	480.1031.3d	$C_{20}.S_4$	$C_2\times S_4$	$48$	48.a1.a1	$10$	24.a1.a1	$20$	$24$	$1$
480.1031.4a1	$4$	C		$4$	$\Q(\sqrt{-1}) $	480.1031.4a	$C_{20}.S_4$	$\GL(2,3):C_2$	$96$	96.a1.a1	$5$	24.a1.a1	$20$	$24$	$1$
480.1031.4a2	$4$	C		$4$	$\Q(\sqrt{-1}) $	480.1031.4a	$C_{20}.S_4$	$\GL(2,3):C_2$	$96$	96.a1.a1	$5$	24.a1.a1	$20$	$24$	$1$
480.1031.4b1	$4$	C	✓	$20$	$\Q(i, \sqrt{5})$	480.1031.4b	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$2$
480.1031.4b2	$4$	C	✓	$20$	$\Q(i, \sqrt{5})$	480.1031.4b	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$2$
480.1031.4b3	$4$	C	✓	$20$	$\Q(i, \sqrt{5})$	480.1031.4b	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$2$
480.1031.4b4	$4$	C	✓	$20$	$\Q(i, \sqrt{5})$	480.1031.4b	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$2$
480.1031.4c1	$4$	C	✓	$60$	8.0.324000000.1	480.1031.4c	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$1$
480.1031.4c2	$4$	C	✓	$60$	8.0.324000000.1	480.1031.4c	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$1$
480.1031.4c3	$4$	C	✓	$60$	8.0.324000000.1	480.1031.4c	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$1$
480.1031.4c4	$4$	C	✓	$60$	8.0.324000000.1	480.1031.4c	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$1$
480.1031.4c5	$4$	C	✓	$60$	8.0.324000000.1	480.1031.4c	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$1$
480.1031.4c6	$4$	C	✓	$60$	8.0.324000000.1	480.1031.4c	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$1$
480.1031.4c7	$4$	C	✓	$60$	8.0.324000000.1	480.1031.4c	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$1$
480.1031.4c8	$4$	C	✓	$60$	8.0.324000000.1	480.1031.4c	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$1$
480.1031.6a1	$6$	R		$5$	$\Q(\sqrt{5}) $	480.1031.6a	$C_{20}.S_4$	$C_5:S_4$	$120$	120.a1.a1	$4$	120.a1.a1	$4$	$120$	$1$
480.1031.6a2	$6$	R		$5$	$\Q(\sqrt{5}) $	480.1031.6a	$C_{20}.S_4$	$C_5:S_4$	$120$	120.a1.a1	$4$	120.a1.a1	$4$	$120$	$1$
480.1031.6b1	$6$	R		$5$	$\Q(\sqrt{5}) $	480.1031.6b	$C_{20}.S_4$	$C_{10}:S_4$	$240$	240.a1.a1	$2$	120.a1.a1	$4$	$120$	$1$
480.1031.6b2	$6$	R		$5$	$\Q(\sqrt{5}) $	480.1031.6b	$C_{20}.S_4$	$C_{10}:S_4$	$240$	240.a1.a1	$2$	120.a1.a1	$4$	$120$	$1$

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Elliptic curves over $\Q$
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Results (44 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
480.1031.1a	$1$	R		$1$	\(\Q\)	480.1031.1a	$C_{20}.S_4$	$C_1$	$1$	1.a1.a1	$480$	1.a1.a1	$480$	$1$	$1$
480.1031.1b	$1$	R		$1$	\(\Q\)	480.1031.1b	$C_{20}.S_4$	$C_2$	$2$	2.c1.a1	$240$	1.a1.a1	$480$	$1$	$1$
480.1031.1c	$1$	R		$1$	\(\Q\)	480.1031.1c	$C_{20}.S_4$	$C_2$	$2$	2.b1.a1	$240$	1.a1.a1	$480$	$1$	$1$
480.1031.1d	$1$	R		$1$	\(\Q\)	480.1031.1d	$C_{20}.S_4$	$C_2$	$2$	2.a1.a1	$240$	1.a1.a1	$480$	$1$	$1$
480.1031.2a	$2$	R		$1$	\(\Q\)	480.1031.2a	$C_{20}.S_4$	$S_3$	$6$	6.a1.a1	$80$	6.a1.a1	$80$	$6$	$1$
480.1031.2b	$2$	R		$1$	\(\Q\)	480.1031.2b	$C_{20}.S_4$	$D_6$	$12$	12.a1.a1	$40$	6.a1.a1	$80$	$6$	$1$
480.1031.2c1	$2$	R		$5$	\(\Q(\sqrt{5}) \)	480.1031.2c	$C_{20}.S_4$	$D_5$	$10$	10.a1.a1	$48$	10.a1.a1	$48$	$10$	$1$
480.1031.2c2	$2$	R		$5$	\(\Q(\sqrt{5}) \)	480.1031.2c	$C_{20}.S_4$	$D_5$	$10$	10.a1.a1	$48$	10.a1.a1	$48$	$10$	$1$
480.1031.2d1	$2$	R		$5$	\(\Q(\sqrt{5}) \)	480.1031.2d	$C_{20}.S_4$	$D_{10}$	$20$	20.a1.a1	$24$	10.a1.a1	$48$	$10$	$1$
480.1031.2d2	$2$	R		$5$	\(\Q(\sqrt{5}) \)	480.1031.2d	$C_{20}.S_4$	$D_{10}$	$20$	20.a1.a1	$24$	10.a1.a1	$48$	$10$	$1$
480.1031.2e1	$2$	R		$15$	\(\Q(\zeta_{15})^+\)	480.1031.2e	$C_{20}.S_4$	$D_{15}$	$30$	30.a1.a1	$16$	30.a1.a1	$16$	$30$	$1$
480.1031.2e2	$2$	R		$15$	\(\Q(\zeta_{15})^+\)	480.1031.2e	$C_{20}.S_4$	$D_{15}$	$30$	30.a1.a1	$16$	30.a1.a1	$16$	$30$	$1$
480.1031.2e3	$2$	R		$15$	\(\Q(\zeta_{15})^+\)	480.1031.2e	$C_{20}.S_4$	$D_{15}$	$30$	30.a1.a1	$16$	30.a1.a1	$16$	$30$	$1$
480.1031.2e4	$2$	R		$15$	\(\Q(\zeta_{15})^+\)	480.1031.2e	$C_{20}.S_4$	$D_{15}$	$30$	30.a1.a1	$16$	30.a1.a1	$16$	$30$	$1$
480.1031.2f1	$2$	R		$15$	\(\Q(\zeta_{15})^+\)	480.1031.2f	$C_{20}.S_4$	$D_{30}$	$60$	60.a1.a1	$8$	30.a1.a1	$16$	$30$	$1$
480.1031.2f2	$2$	R		$15$	\(\Q(\zeta_{15})^+\)	480.1031.2f	$C_{20}.S_4$	$D_{30}$	$60$	60.a1.a1	$8$	30.a1.a1	$16$	$30$	$1$
480.1031.2f3	$2$	R		$15$	\(\Q(\zeta_{15})^+\)	480.1031.2f	$C_{20}.S_4$	$D_{30}$	$60$	60.a1.a1	$8$	30.a1.a1	$16$	$30$	$1$
480.1031.2f4	$2$	R		$15$	\(\Q(\zeta_{15})^+\)	480.1031.2f	$C_{20}.S_4$	$D_{30}$	$60$	60.a1.a1	$8$	30.a1.a1	$16$	$30$	$1$
480.1031.2g1	$2$	C		$8$	\(\Q(\zeta_{8})\)	480.1031.2g	$C_{20}.S_4$	$\GL(2,3):C_2$	$96$	96.a1.a1	$5$	24.a1.a1	$20$	$24$	$1$
480.1031.2g2	$2$	C		$8$	\(\Q(\zeta_{8})\)	480.1031.2g	$C_{20}.S_4$	$\GL(2,3):C_2$	$96$	96.a1.a1	$5$	24.a1.a1	$20$	$24$	$1$
480.1031.2g3	$2$	C		$8$	\(\Q(\zeta_{8})\)	480.1031.2g	$C_{20}.S_4$	$\GL(2,3):C_2$	$96$	96.a1.a1	$5$	24.a1.a1	$20$	$24$	$1$
480.1031.2g4	$2$	C		$8$	\(\Q(\zeta_{8})\)	480.1031.2g	$C_{20}.S_4$	$\GL(2,3):C_2$	$96$	96.a1.a1	$5$	24.a1.a1	$20$	$24$	$1$
480.1031.3a	$3$	R		$1$	\(\Q\)	480.1031.3a	$C_{20}.S_4$	$S_4$	$24$	24.a1.a1	$20$	24.a1.a1	$20$	$24$	$1$
480.1031.3b	$3$	R		$1$	\(\Q\)	480.1031.3b	$C_{20}.S_4$	$S_4$	$24$	24.a1.a1	$20$	24.a1.a1	$20$	$24$	$1$
480.1031.3c	$3$	R		$1$	\(\Q\)	480.1031.3c	$C_{20}.S_4$	$C_2\times S_4$	$48$	48.a1.a1	$10$	24.a1.a1	$20$	$24$	$1$
480.1031.3d	$3$	R		$1$	\(\Q\)	480.1031.3d	$C_{20}.S_4$	$C_2\times S_4$	$48$	48.a1.a1	$10$	24.a1.a1	$20$	$24$	$1$
480.1031.4a1	$4$	C		$4$	\(\Q(\sqrt{-1}) \)	480.1031.4a	$C_{20}.S_4$	$\GL(2,3):C_2$	$96$	96.a1.a1	$5$	24.a1.a1	$20$	$24$	$1$
480.1031.4a2	$4$	C		$4$	\(\Q(\sqrt{-1}) \)	480.1031.4a	$C_{20}.S_4$	$\GL(2,3):C_2$	$96$	96.a1.a1	$5$	24.a1.a1	$20$	$24$	$1$
480.1031.4b1	$4$	C	✓	$20$	\(\Q(i, \sqrt{5})\)	480.1031.4b	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$2$
480.1031.4b2	$4$	C	✓	$20$	\(\Q(i, \sqrt{5})\)	480.1031.4b	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$2$
480.1031.4b3	$4$	C	✓	$20$	\(\Q(i, \sqrt{5})\)	480.1031.4b	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$2$
480.1031.4b4	$4$	C	✓	$20$	\(\Q(i, \sqrt{5})\)	480.1031.4b	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$2$
480.1031.4c1	$4$	C	✓	$60$	8.0.324000000.1	480.1031.4c	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$1$
480.1031.4c2	$4$	C	✓	$60$	8.0.324000000.1	480.1031.4c	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$1$
480.1031.4c3	$4$	C	✓	$60$	8.0.324000000.1	480.1031.4c	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$1$
480.1031.4c4	$4$	C	✓	$60$	8.0.324000000.1	480.1031.4c	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$1$
480.1031.4c5	$4$	C	✓	$60$	8.0.324000000.1	480.1031.4c	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$1$
480.1031.4c6	$4$	C	✓	$60$	8.0.324000000.1	480.1031.4c	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$1$
480.1031.4c7	$4$	C	✓	$60$	8.0.324000000.1	480.1031.4c	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$1$
480.1031.4c8	$4$	C	✓	$60$	8.0.324000000.1	480.1031.4c	$C_{20}.S_4$	$C_{20}.S_4$	$480$	480.a1.a1	$1$	120.a1.a1	$4$	$120$	$1$
480.1031.6a1	$6$	R		$5$	\(\Q(\sqrt{5}) \)	480.1031.6a	$C_{20}.S_4$	$C_5:S_4$	$120$	120.a1.a1	$4$	120.a1.a1	$4$	$120$	$1$
480.1031.6a2	$6$	R		$5$	\(\Q(\sqrt{5}) \)	480.1031.6a	$C_{20}.S_4$	$C_5:S_4$	$120$	120.a1.a1	$4$	120.a1.a1	$4$	$120$	$1$
480.1031.6b1	$6$	R		$5$	\(\Q(\sqrt{5}) \)	480.1031.6b	$C_{20}.S_4$	$C_{10}:S_4$	$240$	240.a1.a1	$2$	120.a1.a1	$4$	$120$	$1$
480.1031.6b2	$6$	R		$5$	\(\Q(\sqrt{5}) \)	480.1031.6b	$C_{20}.S_4$	$C_{10}:S_4$	$240$	240.a1.a1	$2$	120.a1.a1	$4$	$120$	$1$