LMFDB - Complex character search results

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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
2420.r.1a	$1$	R		$1$	$\Q$	2420.r.1a	$C_{22}:F_{11}$	$C_1$	$1$	1.a1.a1	$2420$	1.a1.a1	$2420$	$1$	$1$
2420.r.1b	$1$	R		$1$	$\Q$	2420.r.1b	$C_{22}:F_{11}$	$C_2$	$2$	2.b1.b1	$1210$	1.a1.a1	$2420$	$1$	$1$
2420.r.1c	$1$	R		$1$	$\Q$	2420.r.1c	$C_{22}:F_{11}$	$C_2$	$2$	2.b1.a1	$1210$	1.a1.a1	$2420$	$1$	$1$
2420.r.1d	$1$	R		$1$	$\Q$	2420.r.1d	$C_{22}:F_{11}$	$C_2$	$2$	2.a1.a1	$1210$	1.a1.a1	$2420$	$1$	$1$
2420.r.1e1	$1$	C		$5$	$\Q(\zeta_{5})$	2420.r.1e	$C_{22}:F_{11}$	$C_5$	$5$	5.a1.a1	$484$	1.a1.a1	$2420$	$1$	$1$
2420.r.1e2	$1$	C		$5$	$\Q(\zeta_{5})$	2420.r.1e	$C_{22}:F_{11}$	$C_5$	$5$	5.a1.a1	$484$	1.a1.a1	$2420$	$1$	$1$
2420.r.1e3	$1$	C		$5$	$\Q(\zeta_{5})$	2420.r.1e	$C_{22}:F_{11}$	$C_5$	$5$	5.a1.a1	$484$	1.a1.a1	$2420$	$1$	$1$
2420.r.1e4	$1$	C		$5$	$\Q(\zeta_{5})$	2420.r.1e	$C_{22}:F_{11}$	$C_5$	$5$	5.a1.a1	$484$	1.a1.a1	$2420$	$1$	$1$
2420.r.1f1	$1$	C		$5$	$\Q(\zeta_{5})$	2420.r.1f	$C_{22}:F_{11}$	$C_{10}$	$10$	10.b1.b1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1f2	$1$	C		$5$	$\Q(\zeta_{5})$	2420.r.1f	$C_{22}:F_{11}$	$C_{10}$	$10$	10.b1.b1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1f3	$1$	C		$5$	$\Q(\zeta_{5})$	2420.r.1f	$C_{22}:F_{11}$	$C_{10}$	$10$	10.b1.b1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1f4	$1$	C		$5$	$\Q(\zeta_{5})$	2420.r.1f	$C_{22}:F_{11}$	$C_{10}$	$10$	10.b1.b1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1g1	$1$	C		$5$	$\Q(\zeta_{5})$	2420.r.1g	$C_{22}:F_{11}$	$C_{10}$	$10$	10.b1.a1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1g2	$1$	C		$5$	$\Q(\zeta_{5})$	2420.r.1g	$C_{22}:F_{11}$	$C_{10}$	$10$	10.b1.a1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1g3	$1$	C		$5$	$\Q(\zeta_{5})$	2420.r.1g	$C_{22}:F_{11}$	$C_{10}$	$10$	10.b1.a1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1g4	$1$	C		$5$	$\Q(\zeta_{5})$	2420.r.1g	$C_{22}:F_{11}$	$C_{10}$	$10$	10.b1.a1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1h1	$1$	C		$5$	$\Q(\zeta_{5})$	2420.r.1h	$C_{22}:F_{11}$	$C_{10}$	$10$	10.a1.a1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1h2	$1$	C		$5$	$\Q(\zeta_{5})$	2420.r.1h	$C_{22}:F_{11}$	$C_{10}$	$10$	10.a1.a1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1h3	$1$	C		$5$	$\Q(\zeta_{5})$	2420.r.1h	$C_{22}:F_{11}$	$C_{10}$	$10$	10.a1.a1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1h4	$1$	C		$5$	$\Q(\zeta_{5})$	2420.r.1h	$C_{22}:F_{11}$	$C_{10}$	$10$	10.a1.a1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.10a	$10$	R		$1$	$\Q$	2420.r.10a	$C_{22}:F_{11}$	$F_{11}$	$110$	110.a1.b1	$22$	110.a1.b1	$22$	$110$	$1$
2420.r.10b	$10$	R		$1$	$\Q$	2420.r.10b	$C_{22}:F_{11}$	$F_{11}$	$110$	110.a1.a1	$22$	110.a1.a1	$22$	$110$	$1$
2420.r.10c	$10$	R		$1$	$\Q$	2420.r.10c	$C_{22}:F_{11}$	$C_2\times F_{11}$	$220$	220.a1.b1	$11$	110.a1.b1	$22$	$110$	$1$
2420.r.10d	$10$	R		$1$	$\Q$	2420.r.10d	$C_{22}:F_{11}$	$C_2\times F_{11}$	$220$	220.a1.a1	$11$	110.a1.a1	$22$	$110$	$1$
2420.r.10e1	$10$	R		$11$	$\Q(\zeta_{11})^+$	2420.r.10e	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10e2	$10$	R		$11$	$\Q(\zeta_{11})^+$	2420.r.10e	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10e3	$10$	R		$11$	$\Q(\zeta_{11})^+$	2420.r.10e	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10e4	$10$	R		$11$	$\Q(\zeta_{11})^+$	2420.r.10e	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10e5	$10$	R		$11$	$\Q(\zeta_{11})^+$	2420.r.10e	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10f1	$10$	R		$11$	$\Q(\zeta_{11})^+$	2420.r.10f	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10f2	$10$	R		$11$	$\Q(\zeta_{11})^+$	2420.r.10f	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10f3	$10$	R		$11$	$\Q(\zeta_{11})^+$	2420.r.10f	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10f4	$10$	R		$11$	$\Q(\zeta_{11})^+$	2420.r.10f	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10f5	$10$	R		$11$	$\Q(\zeta_{11})^+$	2420.r.10f	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10g1	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	2420.r.10g	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10g2	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	2420.r.10g	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10g3	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	2420.r.10g	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10g4	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	2420.r.10g	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10g5	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	2420.r.10g	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10h1	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	2420.r.10h	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10h2	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	2420.r.10h	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10h3	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	2420.r.10h	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10h4	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	2420.r.10h	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10h5	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	2420.r.10h	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$

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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
2420.r.1a	$1$	R		$1$	\(\Q\)	2420.r.1a	$C_{22}:F_{11}$	$C_1$	$1$	1.a1.a1	$2420$	1.a1.a1	$2420$	$1$	$1$
2420.r.1b	$1$	R		$1$	\(\Q\)	2420.r.1b	$C_{22}:F_{11}$	$C_2$	$2$	2.b1.b1	$1210$	1.a1.a1	$2420$	$1$	$1$
2420.r.1c	$1$	R		$1$	\(\Q\)	2420.r.1c	$C_{22}:F_{11}$	$C_2$	$2$	2.b1.a1	$1210$	1.a1.a1	$2420$	$1$	$1$
2420.r.1d	$1$	R		$1$	\(\Q\)	2420.r.1d	$C_{22}:F_{11}$	$C_2$	$2$	2.a1.a1	$1210$	1.a1.a1	$2420$	$1$	$1$
2420.r.1e1	$1$	C		$5$	\(\Q(\zeta_{5})\)	2420.r.1e	$C_{22}:F_{11}$	$C_5$	$5$	5.a1.a1	$484$	1.a1.a1	$2420$	$1$	$1$
2420.r.1e2	$1$	C		$5$	\(\Q(\zeta_{5})\)	2420.r.1e	$C_{22}:F_{11}$	$C_5$	$5$	5.a1.a1	$484$	1.a1.a1	$2420$	$1$	$1$
2420.r.1e3	$1$	C		$5$	\(\Q(\zeta_{5})\)	2420.r.1e	$C_{22}:F_{11}$	$C_5$	$5$	5.a1.a1	$484$	1.a1.a1	$2420$	$1$	$1$
2420.r.1e4	$1$	C		$5$	\(\Q(\zeta_{5})\)	2420.r.1e	$C_{22}:F_{11}$	$C_5$	$5$	5.a1.a1	$484$	1.a1.a1	$2420$	$1$	$1$
2420.r.1f1	$1$	C		$5$	\(\Q(\zeta_{5})\)	2420.r.1f	$C_{22}:F_{11}$	$C_{10}$	$10$	10.b1.b1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1f2	$1$	C		$5$	\(\Q(\zeta_{5})\)	2420.r.1f	$C_{22}:F_{11}$	$C_{10}$	$10$	10.b1.b1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1f3	$1$	C		$5$	\(\Q(\zeta_{5})\)	2420.r.1f	$C_{22}:F_{11}$	$C_{10}$	$10$	10.b1.b1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1f4	$1$	C		$5$	\(\Q(\zeta_{5})\)	2420.r.1f	$C_{22}:F_{11}$	$C_{10}$	$10$	10.b1.b1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1g1	$1$	C		$5$	\(\Q(\zeta_{5})\)	2420.r.1g	$C_{22}:F_{11}$	$C_{10}$	$10$	10.b1.a1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1g2	$1$	C		$5$	\(\Q(\zeta_{5})\)	2420.r.1g	$C_{22}:F_{11}$	$C_{10}$	$10$	10.b1.a1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1g3	$1$	C		$5$	\(\Q(\zeta_{5})\)	2420.r.1g	$C_{22}:F_{11}$	$C_{10}$	$10$	10.b1.a1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1g4	$1$	C		$5$	\(\Q(\zeta_{5})\)	2420.r.1g	$C_{22}:F_{11}$	$C_{10}$	$10$	10.b1.a1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1h1	$1$	C		$5$	\(\Q(\zeta_{5})\)	2420.r.1h	$C_{22}:F_{11}$	$C_{10}$	$10$	10.a1.a1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1h2	$1$	C		$5$	\(\Q(\zeta_{5})\)	2420.r.1h	$C_{22}:F_{11}$	$C_{10}$	$10$	10.a1.a1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1h3	$1$	C		$5$	\(\Q(\zeta_{5})\)	2420.r.1h	$C_{22}:F_{11}$	$C_{10}$	$10$	10.a1.a1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.1h4	$1$	C		$5$	\(\Q(\zeta_{5})\)	2420.r.1h	$C_{22}:F_{11}$	$C_{10}$	$10$	10.a1.a1	$242$	1.a1.a1	$2420$	$1$	$1$
2420.r.10a	$10$	R		$1$	\(\Q\)	2420.r.10a	$C_{22}:F_{11}$	$F_{11}$	$110$	110.a1.b1	$22$	110.a1.b1	$22$	$110$	$1$
2420.r.10b	$10$	R		$1$	\(\Q\)	2420.r.10b	$C_{22}:F_{11}$	$F_{11}$	$110$	110.a1.a1	$22$	110.a1.a1	$22$	$110$	$1$
2420.r.10c	$10$	R		$1$	\(\Q\)	2420.r.10c	$C_{22}:F_{11}$	$C_2\times F_{11}$	$220$	220.a1.b1	$11$	110.a1.b1	$22$	$110$	$1$
2420.r.10d	$10$	R		$1$	\(\Q\)	2420.r.10d	$C_{22}:F_{11}$	$C_2\times F_{11}$	$220$	220.a1.a1	$11$	110.a1.a1	$22$	$110$	$1$
2420.r.10e1	$10$	R		$11$	\(\Q(\zeta_{11})^+\)	2420.r.10e	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10e2	$10$	R		$11$	\(\Q(\zeta_{11})^+\)	2420.r.10e	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10e3	$10$	R		$11$	\(\Q(\zeta_{11})^+\)	2420.r.10e	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10e4	$10$	R		$11$	\(\Q(\zeta_{11})^+\)	2420.r.10e	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10e5	$10$	R		$11$	\(\Q(\zeta_{11})^+\)	2420.r.10e	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10f1	$10$	R		$11$	\(\Q(\zeta_{11})^+\)	2420.r.10f	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10f2	$10$	R		$11$	\(\Q(\zeta_{11})^+\)	2420.r.10f	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10f3	$10$	R		$11$	\(\Q(\zeta_{11})^+\)	2420.r.10f	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10f4	$10$	R		$11$	\(\Q(\zeta_{11})^+\)	2420.r.10f	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10f5	$10$	R		$11$	\(\Q(\zeta_{11})^+\)	2420.r.10f	$C_{22}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$2$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10g1	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	2420.r.10g	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10g2	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	2420.r.10g	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10g3	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	2420.r.10g	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10g4	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	2420.r.10g	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10g5	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	2420.r.10g	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10h1	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	2420.r.10h	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10h2	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	2420.r.10h	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10h3	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	2420.r.10h	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10h4	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	2420.r.10h	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$
2420.r.10h5	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	2420.r.10h	$C_{22}:F_{11}$	$C_{22}:F_{11}$	$2420$	2420.a1.a1	$1$	1210.a1.a1	$2$	$1210$	$1$