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Degree	Type	Faithful	Conductor

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Results (30 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
486.25.1a	$1$	R	$1$	$\Q$	486.25.1a	$\He_3:D_9$	$C_1$	$1$	1.a1.a1	$486$	1.a1.a1	$486$	$1$	$1$
486.25.1b	$1$	R	$1$	$\Q$	486.25.1b	$\He_3:D_9$	$C_2$	$2$	2.a1.a1	$243$	1.a1.a1	$486$	$1$	$1$
486.25.1c1	$1$	C	$3$	$\Q(\sqrt{-3}) $	486.25.1c	$\He_3:D_9$	$C_3$	$3$	3.a1.a1	$162$	1.a1.a1	$486$	$1$	$1$
486.25.1c2	$1$	C	$3$	$\Q(\sqrt{-3}) $	486.25.1c	$\He_3:D_9$	$C_3$	$3$	3.a1.a1	$162$	1.a1.a1	$486$	$1$	$1$
486.25.1d1	$1$	C	$3$	$\Q(\sqrt{-3}) $	486.25.1d	$\He_3:D_9$	$C_6$	$6$	6.b1.a1	$81$	1.a1.a1	$486$	$1$	$1$
486.25.1d2	$1$	C	$3$	$\Q(\sqrt{-3}) $	486.25.1d	$\He_3:D_9$	$C_6$	$6$	6.b1.a1	$81$	1.a1.a1	$486$	$1$	$1$
486.25.2a	$2$	R	$1$	$\Q$	486.25.2a	$\He_3:D_9$	$S_3$	$6$	6.a1.a1	$81$	6.a1.a1	$81$	$6$	$1$
486.25.2b1	$2$	C	$3$	$\Q(\sqrt{-3}) $	486.25.2b	$\He_3:D_9$	$C_3\times S_3$	$18$	18.a1.a1	$27$	6.a1.a1	$81$	$6$	$1$
486.25.2b2	$2$	C	$3$	$\Q(\sqrt{-3}) $	486.25.2b	$\He_3:D_9$	$C_3\times S_3$	$18$	18.a1.a1	$27$	6.a1.a1	$81$	$6$	$1$
486.25.2c1	$2$	R	$9$	$\Q(\zeta_{9})^+$	486.25.2c	$\He_3:D_9$	$D_9$	$18$	18.b1.a1	$27$	18.b1.a1	$27$	$18$	$1$
486.25.2c2	$2$	R	$9$	$\Q(\zeta_{9})^+$	486.25.2c	$\He_3:D_9$	$D_9$	$18$	18.b1.a1	$27$	18.b1.a1	$27$	$18$	$1$
486.25.2c3	$2$	R	$9$	$\Q(\zeta_{9})^+$	486.25.2c	$\He_3:D_9$	$D_9$	$18$	18.b1.a1	$27$	18.b1.a1	$27$	$18$	$1$
486.25.2d1	$2$	C	$9$	$\Q(\zeta_{9})$	486.25.2d	$\He_3:D_9$	$C_3\times D_9$	$54$	54.b1.a1	$9$	18.b1.a1	$27$	$18$	$1$
486.25.2d2	$2$	C	$9$	$\Q(\zeta_{9})$	486.25.2d	$\He_3:D_9$	$C_3\times D_9$	$54$	54.b1.a1	$9$	18.b1.a1	$27$	$18$	$1$
486.25.2d3	$2$	C	$9$	$\Q(\zeta_{9})$	486.25.2d	$\He_3:D_9$	$C_3\times D_9$	$54$	54.b1.a1	$9$	18.b1.a1	$27$	$18$	$1$
486.25.2d4	$2$	C	$9$	$\Q(\zeta_{9})$	486.25.2d	$\He_3:D_9$	$C_3\times D_9$	$54$	54.b1.a1	$9$	18.b1.a1	$27$	$18$	$1$
486.25.2d5	$2$	C	$9$	$\Q(\zeta_{9})$	486.25.2d	$\He_3:D_9$	$C_3\times D_9$	$54$	54.b1.a1	$9$	18.b1.a1	$27$	$18$	$1$
486.25.2d6	$2$	C	$9$	$\Q(\zeta_{9})$	486.25.2d	$\He_3:D_9$	$C_3\times D_9$	$54$	54.b1.a1	$9$	18.b1.a1	$27$	$18$	$1$
486.25.6a	$6$	R	$1$	$\Q$	486.25.6a	$\He_3:D_9$	$C_9:C_6$	$54$	54.c1.b1	$9$	54.c1.b1	$9$	$54$	$1$
486.25.6b	$6$	R	$1$	$\Q$	486.25.6b	$\He_3:D_9$	$C_9:C_6$	$54$	54.c1.a1	$9$	54.c1.a1	$9$	$54$	$1$
486.25.6c	$6$	R	$1$	$\Q$	486.25.6c	$\He_3:D_9$	$C_3^2:C_6$	$54$	54.a1.a1	$9$	54.a1.a1	$9$	$54$	$1$
486.25.6d	$6$	R	$1$	$\Q$	486.25.6d	$\He_3:D_9$	$C_3^3:C_6$	$162$	162.c1.a1	$3$	162.c1.a1	$3$	$162$	$1$
486.25.6e	$6$	R	$1$	$\Q$	486.25.6e	$\He_3:D_9$	$C_3^3:C_6$	$162$	162.c1.a1	$3$	162.c1.a1	$3$	$162$	$1$
486.25.6f	$6$	R	$1$	$\Q$	486.25.6f	$\He_3:D_9$	$C_3^3:C_6$	$162$	162.c1.a1	$3$	162.c1.a1	$3$	$162$	$1$
486.25.6g1	$6$	R	$9$	$\Q(\zeta_{9})^+$	486.25.6g	$\He_3:D_9$	$\He_3.S_3$	$162$	162.d1.a1	$3$	162.d1.a1	$3$	$162$	$1$
486.25.6g2	$6$	R	$9$	$\Q(\zeta_{9})^+$	486.25.6g	$\He_3:D_9$	$\He_3.S_3$	$162$	162.d1.a1	$3$	162.d1.a1	$3$	$162$	$1$
486.25.6g3	$6$	R	$9$	$\Q(\zeta_{9})^+$	486.25.6g	$\He_3:D_9$	$\He_3.S_3$	$162$	162.d1.a1	$3$	162.d1.a1	$3$	$162$	$1$
486.25.6h1	$6$	R	$9$	$\Q(\zeta_{9})^+$	486.25.6h	$\He_3:D_9$	$\He_3.S_3$	$162$	162.b1.a1	$3$	162.b1.a1	$3$	$162$	$1$
486.25.6h2	$6$	R	$9$	$\Q(\zeta_{9})^+$	486.25.6h	$\He_3:D_9$	$\He_3.S_3$	$162$	162.b1.a1	$3$	162.b1.a1	$3$	$162$	$1$
486.25.6h3	$6$	R	$9$	$\Q(\zeta_{9})^+$	486.25.6h	$\He_3:D_9$	$\He_3.S_3$	$162$	162.b1.a1	$3$	162.b1.a1	$3$	$162$	$1$

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Elliptic curves over $\Q$
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Results (30 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
486.25.1a	$1$	R	$1$	\(\Q\)	486.25.1a	$\He_3:D_9$	$C_1$	$1$	1.a1.a1	$486$	1.a1.a1	$486$	$1$	$1$
486.25.1b	$1$	R	$1$	\(\Q\)	486.25.1b	$\He_3:D_9$	$C_2$	$2$	2.a1.a1	$243$	1.a1.a1	$486$	$1$	$1$
486.25.1c1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	486.25.1c	$\He_3:D_9$	$C_3$	$3$	3.a1.a1	$162$	1.a1.a1	$486$	$1$	$1$
486.25.1c2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	486.25.1c	$\He_3:D_9$	$C_3$	$3$	3.a1.a1	$162$	1.a1.a1	$486$	$1$	$1$
486.25.1d1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	486.25.1d	$\He_3:D_9$	$C_6$	$6$	6.b1.a1	$81$	1.a1.a1	$486$	$1$	$1$
486.25.1d2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	486.25.1d	$\He_3:D_9$	$C_6$	$6$	6.b1.a1	$81$	1.a1.a1	$486$	$1$	$1$
486.25.2a	$2$	R	$1$	\(\Q\)	486.25.2a	$\He_3:D_9$	$S_3$	$6$	6.a1.a1	$81$	6.a1.a1	$81$	$6$	$1$
486.25.2b1	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	486.25.2b	$\He_3:D_9$	$C_3\times S_3$	$18$	18.a1.a1	$27$	6.a1.a1	$81$	$6$	$1$
486.25.2b2	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	486.25.2b	$\He_3:D_9$	$C_3\times S_3$	$18$	18.a1.a1	$27$	6.a1.a1	$81$	$6$	$1$
486.25.2c1	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	486.25.2c	$\He_3:D_9$	$D_9$	$18$	18.b1.a1	$27$	18.b1.a1	$27$	$18$	$1$
486.25.2c2	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	486.25.2c	$\He_3:D_9$	$D_9$	$18$	18.b1.a1	$27$	18.b1.a1	$27$	$18$	$1$
486.25.2c3	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	486.25.2c	$\He_3:D_9$	$D_9$	$18$	18.b1.a1	$27$	18.b1.a1	$27$	$18$	$1$
486.25.2d1	$2$	C	$9$	\(\Q(\zeta_{9})\)	486.25.2d	$\He_3:D_9$	$C_3\times D_9$	$54$	54.b1.a1	$9$	18.b1.a1	$27$	$18$	$1$
486.25.2d2	$2$	C	$9$	\(\Q(\zeta_{9})\)	486.25.2d	$\He_3:D_9$	$C_3\times D_9$	$54$	54.b1.a1	$9$	18.b1.a1	$27$	$18$	$1$
486.25.2d3	$2$	C	$9$	\(\Q(\zeta_{9})\)	486.25.2d	$\He_3:D_9$	$C_3\times D_9$	$54$	54.b1.a1	$9$	18.b1.a1	$27$	$18$	$1$
486.25.2d4	$2$	C	$9$	\(\Q(\zeta_{9})\)	486.25.2d	$\He_3:D_9$	$C_3\times D_9$	$54$	54.b1.a1	$9$	18.b1.a1	$27$	$18$	$1$
486.25.2d5	$2$	C	$9$	\(\Q(\zeta_{9})\)	486.25.2d	$\He_3:D_9$	$C_3\times D_9$	$54$	54.b1.a1	$9$	18.b1.a1	$27$	$18$	$1$
486.25.2d6	$2$	C	$9$	\(\Q(\zeta_{9})\)	486.25.2d	$\He_3:D_9$	$C_3\times D_9$	$54$	54.b1.a1	$9$	18.b1.a1	$27$	$18$	$1$
486.25.6a	$6$	R	$1$	\(\Q\)	486.25.6a	$\He_3:D_9$	$C_9:C_6$	$54$	54.c1.b1	$9$	54.c1.b1	$9$	$54$	$1$
486.25.6b	$6$	R	$1$	\(\Q\)	486.25.6b	$\He_3:D_9$	$C_9:C_6$	$54$	54.c1.a1	$9$	54.c1.a1	$9$	$54$	$1$
486.25.6c	$6$	R	$1$	\(\Q\)	486.25.6c	$\He_3:D_9$	$C_3^2:C_6$	$54$	54.a1.a1	$9$	54.a1.a1	$9$	$54$	$1$
486.25.6d	$6$	R	$1$	\(\Q\)	486.25.6d	$\He_3:D_9$	$C_3^3:C_6$	$162$	162.c1.a1	$3$	162.c1.a1	$3$	$162$	$1$
486.25.6e	$6$	R	$1$	\(\Q\)	486.25.6e	$\He_3:D_9$	$C_3^3:C_6$	$162$	162.c1.a1	$3$	162.c1.a1	$3$	$162$	$1$
486.25.6f	$6$	R	$1$	\(\Q\)	486.25.6f	$\He_3:D_9$	$C_3^3:C_6$	$162$	162.c1.a1	$3$	162.c1.a1	$3$	$162$	$1$
486.25.6g1	$6$	R	$9$	\(\Q(\zeta_{9})^+\)	486.25.6g	$\He_3:D_9$	$\He_3.S_3$	$162$	162.d1.a1	$3$	162.d1.a1	$3$	$162$	$1$
486.25.6g2	$6$	R	$9$	\(\Q(\zeta_{9})^+\)	486.25.6g	$\He_3:D_9$	$\He_3.S_3$	$162$	162.d1.a1	$3$	162.d1.a1	$3$	$162$	$1$
486.25.6g3	$6$	R	$9$	\(\Q(\zeta_{9})^+\)	486.25.6g	$\He_3:D_9$	$\He_3.S_3$	$162$	162.d1.a1	$3$	162.d1.a1	$3$	$162$	$1$
486.25.6h1	$6$	R	$9$	\(\Q(\zeta_{9})^+\)	486.25.6h	$\He_3:D_9$	$\He_3.S_3$	$162$	162.b1.a1	$3$	162.b1.a1	$3$	$162$	$1$
486.25.6h2	$6$	R	$9$	\(\Q(\zeta_{9})^+\)	486.25.6h	$\He_3:D_9$	$\He_3.S_3$	$162$	162.b1.a1	$3$	162.b1.a1	$3$	$162$	$1$
486.25.6h3	$6$	R	$9$	\(\Q(\zeta_{9})^+\)	486.25.6h	$\He_3:D_9$	$\He_3.S_3$	$162$	162.b1.a1	$3$	162.b1.a1	$3$	$162$	$1$