LMFDB - Complex character search results

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Degree	Type	Faithful	Conductor

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Results (46 matches)

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Label	Degree	Type	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
160.25.1a	$1$	R	$1$	$\Q$	160.25.1a	$C_{40}:C_4$	$C_1$	$1$	1.a1.a1	$160$	1.a1.a1	$160$	$1$	$1$
160.25.1b	$1$	R	$1$	$\Q$	160.25.1b	$C_{40}:C_4$	$C_2$	$2$	2.b1.a1	$80$	1.a1.a1	$160$	$1$	$1$
160.25.1c	$1$	R	$1$	$\Q$	160.25.1c	$C_{40}:C_4$	$C_2$	$2$	2.a1.b1	$80$	1.a1.a1	$160$	$1$	$1$
160.25.1d	$1$	R	$1$	$\Q$	160.25.1d	$C_{40}:C_4$	$C_2$	$2$	2.a1.a1	$80$	1.a1.a1	$160$	$1$	$1$
160.25.1e1	$1$	C	$4$	$\Q(\sqrt{-1}) $	160.25.1e	$C_{40}:C_4$	$C_4$	$4$	4.b1.a1	$40$	1.a1.a1	$160$	$1$	$1$
160.25.1e2	$1$	C	$4$	$\Q(\sqrt{-1}) $	160.25.1e	$C_{40}:C_4$	$C_4$	$4$	4.b1.a1	$40$	1.a1.a1	$160$	$1$	$1$
160.25.1f1	$1$	C	$4$	$\Q(\sqrt{-1}) $	160.25.1f	$C_{40}:C_4$	$C_4$	$4$	4.b1.b1	$40$	1.a1.a1	$160$	$1$	$1$
160.25.1f2	$1$	C	$4$	$\Q(\sqrt{-1}) $	160.25.1f	$C_{40}:C_4$	$C_4$	$4$	4.b1.b1	$40$	1.a1.a1	$160$	$1$	$1$
160.25.2a	$2$	R	$1$	$\Q$	160.25.2a	$C_{40}:C_4$	$D_4$	$8$	8.a1.a1	$20$	4.a1.a1	$40$	$4$	$1$
160.25.2b	$2$	S	$1$	$\Q$	160.25.2b	$C_{40}:C_4$	$Q_8$	$8$	8.b1.a1	$20$	4.a1.a1	$40$	$4$	$2$
160.25.2c1	$2$	R	$5$	$\Q(\sqrt{5}) $	160.25.2c	$C_{40}:C_4$	$D_5$	$10$	10.a1.a1	$16$	10.a1.a1	$16$	$10$	$1$
160.25.2c2	$2$	R	$5$	$\Q(\sqrt{5}) $	160.25.2c	$C_{40}:C_4$	$D_5$	$10$	10.a1.a1	$16$	10.a1.a1	$16$	$10$	$1$
160.25.2d1	$2$	R	$8$	$\Q(\sqrt{2}) $	160.25.2d	$C_{40}:C_4$	$D_8$	$16$	16.a1.a1	$10$	8.a1.a1	$20$	$8$	$1$
160.25.2d2	$2$	R	$8$	$\Q(\sqrt{2}) $	160.25.2d	$C_{40}:C_4$	$D_8$	$16$	16.a1.a1	$10$	8.a1.a1	$20$	$8$	$1$
160.25.2e1	$2$	R	$5$	$\Q(\sqrt{5}) $	160.25.2e	$C_{40}:C_4$	$D_{10}$	$20$	20.a1.a1	$8$	10.a1.a1	$16$	$10$	$1$
160.25.2e2	$2$	R	$5$	$\Q(\sqrt{5}) $	160.25.2e	$C_{40}:C_4$	$D_{10}$	$20$	20.a1.a1	$8$	10.a1.a1	$16$	$10$	$1$
160.25.2f1	$2$	S	$8$	$\Q(\sqrt{2}) $	160.25.2f	$C_{40}:C_4$	$Q_{16}$	$16$	16.b1.a1	$10$	8.a1.a1	$20$	$8$	$2$
160.25.2f2	$2$	S	$8$	$\Q(\sqrt{2}) $	160.25.2f	$C_{40}:C_4$	$Q_{16}$	$16$	16.b1.a1	$10$	8.a1.a1	$20$	$8$	$2$
160.25.2g1	$2$	S	$5$	$\Q(\sqrt{5}) $	160.25.2g	$C_{40}:C_4$	$C_5:C_4$	$20$	20.b1.a1	$8$	10.a1.a1	$16$	$10$	$2$
160.25.2g2	$2$	S	$5$	$\Q(\sqrt{5}) $	160.25.2g	$C_{40}:C_4$	$C_5:C_4$	$20$	20.b1.a1	$8$	10.a1.a1	$16$	$10$	$2$
160.25.2h1	$2$	S	$5$	$\Q(\sqrt{5}) $	160.25.2h	$C_{40}:C_4$	$C_5:C_4$	$20$	20.b1.b1	$8$	10.a1.a1	$16$	$10$	$2$
160.25.2h2	$2$	S	$5$	$\Q(\sqrt{5}) $	160.25.2h	$C_{40}:C_4$	$C_5:C_4$	$20$	20.b1.b1	$8$	10.a1.a1	$16$	$10$	$2$
160.25.2i1	$2$	R	$20$	$\Q(\zeta_{20})^+$	160.25.2i	$C_{40}:C_4$	$D_{20}$	$40$	40.a1.a1	$4$	20.a1.a1	$8$	$20$	$1$
160.25.2i2	$2$	R	$20$	$\Q(\zeta_{20})^+$	160.25.2i	$C_{40}:C_4$	$D_{20}$	$40$	40.a1.a1	$4$	20.a1.a1	$8$	$20$	$1$
160.25.2i3	$2$	R	$20$	$\Q(\zeta_{20})^+$	160.25.2i	$C_{40}:C_4$	$D_{20}$	$40$	40.a1.a1	$4$	20.a1.a1	$8$	$20$	$1$
160.25.2i4	$2$	R	$20$	$\Q(\zeta_{20})^+$	160.25.2i	$C_{40}:C_4$	$D_{20}$	$40$	40.a1.a1	$4$	20.a1.a1	$8$	$20$	$1$
160.25.2j1	$2$	S	$20$	$\Q(\zeta_{20})^+$	160.25.2j	$C_{40}:C_4$	$C_5:Q_8$	$40$	40.b1.a1	$4$	20.a1.a1	$8$	$20$	$2$
160.25.2j2	$2$	S	$20$	$\Q(\zeta_{20})^+$	160.25.2j	$C_{40}:C_4$	$C_5:Q_8$	$40$	40.b1.a1	$4$	20.a1.a1	$8$	$20$	$2$
160.25.2j3	$2$	S	$20$	$\Q(\zeta_{20})^+$	160.25.2j	$C_{40}:C_4$	$C_5:Q_8$	$40$	40.b1.a1	$4$	20.a1.a1	$8$	$20$	$2$
160.25.2j4	$2$	S	$20$	$\Q(\zeta_{20})^+$	160.25.2j	$C_{40}:C_4$	$C_5:Q_8$	$40$	40.b1.a1	$4$	20.a1.a1	$8$	$20$	$2$
160.25.2k1	$2$	R	$40$	$\Q(\zeta_{40})^+$	160.25.2k	$C_{40}:C_4$	$D_{40}$	$80$	80.a1.a1	$2$	40.a1.a1	$4$	$40$	$1$
160.25.2k2	$2$	R	$40$	$\Q(\zeta_{40})^+$	160.25.2k	$C_{40}:C_4$	$D_{40}$	$80$	80.a1.a1	$2$	40.a1.a1	$4$	$40$	$1$
160.25.2k3	$2$	R	$40$	$\Q(\zeta_{40})^+$	160.25.2k	$C_{40}:C_4$	$D_{40}$	$80$	80.a1.a1	$2$	40.a1.a1	$4$	$40$	$1$
160.25.2k4	$2$	R	$40$	$\Q(\zeta_{40})^+$	160.25.2k	$C_{40}:C_4$	$D_{40}$	$80$	80.a1.a1	$2$	40.a1.a1	$4$	$40$	$1$
160.25.2k5	$2$	R	$40$	$\Q(\zeta_{40})^+$	160.25.2k	$C_{40}:C_4$	$D_{40}$	$80$	80.a1.a1	$2$	40.a1.a1	$4$	$40$	$1$
160.25.2k6	$2$	R	$40$	$\Q(\zeta_{40})^+$	160.25.2k	$C_{40}:C_4$	$D_{40}$	$80$	80.a1.a1	$2$	40.a1.a1	$4$	$40$	$1$
160.25.2k7	$2$	R	$40$	$\Q(\zeta_{40})^+$	160.25.2k	$C_{40}:C_4$	$D_{40}$	$80$	80.a1.a1	$2$	40.a1.a1	$4$	$40$	$1$
160.25.2k8	$2$	R	$40$	$\Q(\zeta_{40})^+$	160.25.2k	$C_{40}:C_4$	$D_{40}$	$80$	80.a1.a1	$2$	40.a1.a1	$4$	$40$	$1$
160.25.2l1	$2$	S	$40$	$\Q(\zeta_{40})^+$	160.25.2l	$C_{40}:C_4$	$C_5:Q_{16}$	$80$	80.b1.a1	$2$	40.a1.a1	$4$	$40$	$2$
160.25.2l2	$2$	S	$40$	$\Q(\zeta_{40})^+$	160.25.2l	$C_{40}:C_4$	$C_5:Q_{16}$	$80$	80.b1.a1	$2$	40.a1.a1	$4$	$40$	$2$
160.25.2l3	$2$	S	$40$	$\Q(\zeta_{40})^+$	160.25.2l	$C_{40}:C_4$	$C_5:Q_{16}$	$80$	80.b1.a1	$2$	40.a1.a1	$4$	$40$	$2$
160.25.2l4	$2$	S	$40$	$\Q(\zeta_{40})^+$	160.25.2l	$C_{40}:C_4$	$C_5:Q_{16}$	$80$	80.b1.a1	$2$	40.a1.a1	$4$	$40$	$2$
160.25.2l5	$2$	S	$40$	$\Q(\zeta_{40})^+$	160.25.2l	$C_{40}:C_4$	$C_5:Q_{16}$	$80$	80.b1.a1	$2$	40.a1.a1	$4$	$40$	$2$
160.25.2l6	$2$	S	$40$	$\Q(\zeta_{40})^+$	160.25.2l	$C_{40}:C_4$	$C_5:Q_{16}$	$80$	80.b1.a1	$2$	40.a1.a1	$4$	$40$	$2$
160.25.2l7	$2$	S	$40$	$\Q(\zeta_{40})^+$	160.25.2l	$C_{40}:C_4$	$C_5:Q_{16}$	$80$	80.b1.a1	$2$	40.a1.a1	$4$	$40$	$2$
160.25.2l8	$2$	S	$40$	$\Q(\zeta_{40})^+$	160.25.2l	$C_{40}:C_4$	$C_5:Q_{16}$	$80$	80.b1.a1	$2$	40.a1.a1	$4$	$40$	$2$

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Elliptic curves over $\Q$
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Results (46 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	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
160.25.1a	$1$	R	$1$	\(\Q\)	160.25.1a	$C_{40}:C_4$	$C_1$	$1$	1.a1.a1	$160$	1.a1.a1	$160$	$1$	$1$
160.25.1b	$1$	R	$1$	\(\Q\)	160.25.1b	$C_{40}:C_4$	$C_2$	$2$	2.b1.a1	$80$	1.a1.a1	$160$	$1$	$1$
160.25.1c	$1$	R	$1$	\(\Q\)	160.25.1c	$C_{40}:C_4$	$C_2$	$2$	2.a1.b1	$80$	1.a1.a1	$160$	$1$	$1$
160.25.1d	$1$	R	$1$	\(\Q\)	160.25.1d	$C_{40}:C_4$	$C_2$	$2$	2.a1.a1	$80$	1.a1.a1	$160$	$1$	$1$
160.25.1e1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	160.25.1e	$C_{40}:C_4$	$C_4$	$4$	4.b1.a1	$40$	1.a1.a1	$160$	$1$	$1$
160.25.1e2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	160.25.1e	$C_{40}:C_4$	$C_4$	$4$	4.b1.a1	$40$	1.a1.a1	$160$	$1$	$1$
160.25.1f1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	160.25.1f	$C_{40}:C_4$	$C_4$	$4$	4.b1.b1	$40$	1.a1.a1	$160$	$1$	$1$
160.25.1f2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	160.25.1f	$C_{40}:C_4$	$C_4$	$4$	4.b1.b1	$40$	1.a1.a1	$160$	$1$	$1$
160.25.2a	$2$	R	$1$	\(\Q\)	160.25.2a	$C_{40}:C_4$	$D_4$	$8$	8.a1.a1	$20$	4.a1.a1	$40$	$4$	$1$
160.25.2b	$2$	S	$1$	\(\Q\)	160.25.2b	$C_{40}:C_4$	$Q_8$	$8$	8.b1.a1	$20$	4.a1.a1	$40$	$4$	$2$
160.25.2c1	$2$	R	$5$	\(\Q(\sqrt{5}) \)	160.25.2c	$C_{40}:C_4$	$D_5$	$10$	10.a1.a1	$16$	10.a1.a1	$16$	$10$	$1$
160.25.2c2	$2$	R	$5$	\(\Q(\sqrt{5}) \)	160.25.2c	$C_{40}:C_4$	$D_5$	$10$	10.a1.a1	$16$	10.a1.a1	$16$	$10$	$1$
160.25.2d1	$2$	R	$8$	\(\Q(\sqrt{2}) \)	160.25.2d	$C_{40}:C_4$	$D_8$	$16$	16.a1.a1	$10$	8.a1.a1	$20$	$8$	$1$
160.25.2d2	$2$	R	$8$	\(\Q(\sqrt{2}) \)	160.25.2d	$C_{40}:C_4$	$D_8$	$16$	16.a1.a1	$10$	8.a1.a1	$20$	$8$	$1$
160.25.2e1	$2$	R	$5$	\(\Q(\sqrt{5}) \)	160.25.2e	$C_{40}:C_4$	$D_{10}$	$20$	20.a1.a1	$8$	10.a1.a1	$16$	$10$	$1$
160.25.2e2	$2$	R	$5$	\(\Q(\sqrt{5}) \)	160.25.2e	$C_{40}:C_4$	$D_{10}$	$20$	20.a1.a1	$8$	10.a1.a1	$16$	$10$	$1$
160.25.2f1	$2$	S	$8$	\(\Q(\sqrt{2}) \)	160.25.2f	$C_{40}:C_4$	$Q_{16}$	$16$	16.b1.a1	$10$	8.a1.a1	$20$	$8$	$2$
160.25.2f2	$2$	S	$8$	\(\Q(\sqrt{2}) \)	160.25.2f	$C_{40}:C_4$	$Q_{16}$	$16$	16.b1.a1	$10$	8.a1.a1	$20$	$8$	$2$
160.25.2g1	$2$	S	$5$	\(\Q(\sqrt{5}) \)	160.25.2g	$C_{40}:C_4$	$C_5:C_4$	$20$	20.b1.a1	$8$	10.a1.a1	$16$	$10$	$2$
160.25.2g2	$2$	S	$5$	\(\Q(\sqrt{5}) \)	160.25.2g	$C_{40}:C_4$	$C_5:C_4$	$20$	20.b1.a1	$8$	10.a1.a1	$16$	$10$	$2$
160.25.2h1	$2$	S	$5$	\(\Q(\sqrt{5}) \)	160.25.2h	$C_{40}:C_4$	$C_5:C_4$	$20$	20.b1.b1	$8$	10.a1.a1	$16$	$10$	$2$
160.25.2h2	$2$	S	$5$	\(\Q(\sqrt{5}) \)	160.25.2h	$C_{40}:C_4$	$C_5:C_4$	$20$	20.b1.b1	$8$	10.a1.a1	$16$	$10$	$2$
160.25.2i1	$2$	R	$20$	\(\Q(\zeta_{20})^+\)	160.25.2i	$C_{40}:C_4$	$D_{20}$	$40$	40.a1.a1	$4$	20.a1.a1	$8$	$20$	$1$
160.25.2i2	$2$	R	$20$	\(\Q(\zeta_{20})^+\)	160.25.2i	$C_{40}:C_4$	$D_{20}$	$40$	40.a1.a1	$4$	20.a1.a1	$8$	$20$	$1$
160.25.2i3	$2$	R	$20$	\(\Q(\zeta_{20})^+\)	160.25.2i	$C_{40}:C_4$	$D_{20}$	$40$	40.a1.a1	$4$	20.a1.a1	$8$	$20$	$1$
160.25.2i4	$2$	R	$20$	\(\Q(\zeta_{20})^+\)	160.25.2i	$C_{40}:C_4$	$D_{20}$	$40$	40.a1.a1	$4$	20.a1.a1	$8$	$20$	$1$
160.25.2j1	$2$	S	$20$	\(\Q(\zeta_{20})^+\)	160.25.2j	$C_{40}:C_4$	$C_5:Q_8$	$40$	40.b1.a1	$4$	20.a1.a1	$8$	$20$	$2$
160.25.2j2	$2$	S	$20$	\(\Q(\zeta_{20})^+\)	160.25.2j	$C_{40}:C_4$	$C_5:Q_8$	$40$	40.b1.a1	$4$	20.a1.a1	$8$	$20$	$2$
160.25.2j3	$2$	S	$20$	\(\Q(\zeta_{20})^+\)	160.25.2j	$C_{40}:C_4$	$C_5:Q_8$	$40$	40.b1.a1	$4$	20.a1.a1	$8$	$20$	$2$
160.25.2j4	$2$	S	$20$	\(\Q(\zeta_{20})^+\)	160.25.2j	$C_{40}:C_4$	$C_5:Q_8$	$40$	40.b1.a1	$4$	20.a1.a1	$8$	$20$	$2$
160.25.2k1	$2$	R	$40$	\(\Q(\zeta_{40})^+\)	160.25.2k	$C_{40}:C_4$	$D_{40}$	$80$	80.a1.a1	$2$	40.a1.a1	$4$	$40$	$1$
160.25.2k2	$2$	R	$40$	\(\Q(\zeta_{40})^+\)	160.25.2k	$C_{40}:C_4$	$D_{40}$	$80$	80.a1.a1	$2$	40.a1.a1	$4$	$40$	$1$
160.25.2k3	$2$	R	$40$	\(\Q(\zeta_{40})^+\)	160.25.2k	$C_{40}:C_4$	$D_{40}$	$80$	80.a1.a1	$2$	40.a1.a1	$4$	$40$	$1$
160.25.2k4	$2$	R	$40$	\(\Q(\zeta_{40})^+\)	160.25.2k	$C_{40}:C_4$	$D_{40}$	$80$	80.a1.a1	$2$	40.a1.a1	$4$	$40$	$1$
160.25.2k5	$2$	R	$40$	\(\Q(\zeta_{40})^+\)	160.25.2k	$C_{40}:C_4$	$D_{40}$	$80$	80.a1.a1	$2$	40.a1.a1	$4$	$40$	$1$
160.25.2k6	$2$	R	$40$	\(\Q(\zeta_{40})^+\)	160.25.2k	$C_{40}:C_4$	$D_{40}$	$80$	80.a1.a1	$2$	40.a1.a1	$4$	$40$	$1$
160.25.2k7	$2$	R	$40$	\(\Q(\zeta_{40})^+\)	160.25.2k	$C_{40}:C_4$	$D_{40}$	$80$	80.a1.a1	$2$	40.a1.a1	$4$	$40$	$1$
160.25.2k8	$2$	R	$40$	\(\Q(\zeta_{40})^+\)	160.25.2k	$C_{40}:C_4$	$D_{40}$	$80$	80.a1.a1	$2$	40.a1.a1	$4$	$40$	$1$
160.25.2l1	$2$	S	$40$	\(\Q(\zeta_{40})^+\)	160.25.2l	$C_{40}:C_4$	$C_5:Q_{16}$	$80$	80.b1.a1	$2$	40.a1.a1	$4$	$40$	$2$
160.25.2l2	$2$	S	$40$	\(\Q(\zeta_{40})^+\)	160.25.2l	$C_{40}:C_4$	$C_5:Q_{16}$	$80$	80.b1.a1	$2$	40.a1.a1	$4$	$40$	$2$
160.25.2l3	$2$	S	$40$	\(\Q(\zeta_{40})^+\)	160.25.2l	$C_{40}:C_4$	$C_5:Q_{16}$	$80$	80.b1.a1	$2$	40.a1.a1	$4$	$40$	$2$
160.25.2l4	$2$	S	$40$	\(\Q(\zeta_{40})^+\)	160.25.2l	$C_{40}:C_4$	$C_5:Q_{16}$	$80$	80.b1.a1	$2$	40.a1.a1	$4$	$40$	$2$
160.25.2l5	$2$	S	$40$	\(\Q(\zeta_{40})^+\)	160.25.2l	$C_{40}:C_4$	$C_5:Q_{16}$	$80$	80.b1.a1	$2$	40.a1.a1	$4$	$40$	$2$
160.25.2l6	$2$	S	$40$	\(\Q(\zeta_{40})^+\)	160.25.2l	$C_{40}:C_4$	$C_5:Q_{16}$	$80$	80.b1.a1	$2$	40.a1.a1	$4$	$40$	$2$
160.25.2l7	$2$	S	$40$	\(\Q(\zeta_{40})^+\)	160.25.2l	$C_{40}:C_4$	$C_5:Q_{16}$	$80$	80.b1.a1	$2$	40.a1.a1	$4$	$40$	$2$
160.25.2l8	$2$	S	$40$	\(\Q(\zeta_{40})^+\)	160.25.2l	$C_{40}:C_4$	$C_5:Q_{16}$	$80$	80.b1.a1	$2$	40.a1.a1	$4$	$40$	$2$