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Degree	Type	Faithful	Conductor

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Results (30 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
972.474.1a	$1$	R		$1$	$\Q$	972.474.1a	$C_3^3:S_3^2$	$C_1$	$1$	1.a1	$972$	1.a1	$972$	$1$	$1$
972.474.1b	$1$	R		$1$	$\Q$	972.474.1b	$C_3^3:S_3^2$	$C_2$	$2$	2.b1	$486$	1.a1	$972$	$1$	$1$
972.474.1c	$1$	R		$1$	$\Q$	972.474.1c	$C_3^3:S_3^2$	$C_2$	$2$	2.a1	$486$	1.a1	$972$	$1$	$1$
972.474.1d	$1$	R		$1$	$\Q$	972.474.1d	$C_3^3:S_3^2$	$C_2$	$2$	2.a1	$486$	1.a1	$972$	$1$	$1$
972.474.2a	$2$	R		$1$	$\Q$	972.474.2a	$C_3^3:S_3^2$	$S_3$	$6$	6.b1	$162$	6.b1	$162$	$6$	$1$
972.474.2b	$2$	R		$1$	$\Q$	972.474.2b	$C_3^3:S_3^2$	$S_3$	$6$	6.a1	$162$	6.a1	$162$	$6$	$1$
972.474.2c	$2$	R		$1$	$\Q$	972.474.2c	$C_3^3:S_3^2$	$S_3$	$6$	6.a1	$162$	6.a1	$162$	$6$	$1$
972.474.2d	$2$	R		$1$	$\Q$	972.474.2d	$C_3^3:S_3^2$	$D_6$	$12$	12.a1	$81$	6.a1	$162$	$6$	$1$
972.474.2e	$2$	R		$1$	$\Q$	972.474.2e	$C_3^3:S_3^2$	$D_6$	$12$	12.a1	$81$	6.a1	$162$	$6$	$1$
972.474.2f	$2$	R		$1$	$\Q$	972.474.2f	$C_3^3:S_3^2$	$D_6$	$12$	12.b1	$81$	6.b1	$162$	$6$	$1$
972.474.4a	$4$	R		$1$	$\Q$	972.474.4a	$C_3^3:S_3^2$	$S_3^2$	$36$	36.b1	$27$	36.b1	$27$	$36$	$1$
972.474.4b	$4$	R		$1$	$\Q$	972.474.4b	$C_3^3:S_3^2$	$S_3^2$	$36$	36.a1	$27$	36.a1	$27$	$36$	$1$
972.474.4c	$4$	R		$1$	$\Q$	972.474.4c	$C_3^3:S_3^2$	$S_3^2$	$36$	36.a1	$27$	36.a1	$27$	$36$	$1$
972.474.4d1	$4$	C		$3$	$\Q(\sqrt{-3}) $	972.474.4d	$C_3^3:S_3^2$	$C_3:S_3^2$	$108$	108.b1	$9$	108.b1	$9$	$108$	$1$
972.474.4d2	$4$	C		$3$	$\Q(\sqrt{-3}) $	972.474.4d	$C_3^3:S_3^2$	$C_3:S_3^2$	$108$	108.b1	$9$	108.b1	$9$	$108$	$1$
972.474.6a	$6$	R		$1$	$\Q$	972.474.6a	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6b	$6$	R		$1$	$\Q$	972.474.6b	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6c	$6$	R		$1$	$\Q$	972.474.6c	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6d	$6$	R		$1$	$\Q$	972.474.6d	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6e	$6$	R		$1$	$\Q$	972.474.6e	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6f	$6$	R		$1$	$\Q$	972.474.6f	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6g	$6$	R		$1$	$\Q$	972.474.6g	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6h	$6$	R		$1$	$\Q$	972.474.6h	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6i	$6$	R		$1$	$\Q$	972.474.6i	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6j	$6$	R		$1$	$\Q$	972.474.6j	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6k	$6$	R		$1$	$\Q$	972.474.6k	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6l	$6$	R		$1$	$\Q$	972.474.6l	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.12a	$12$	R	✓	$1$	$\Q$	972.474.12a	$C_3^3:S_3^2$	$C_3^3:S_3^2$	$972$	972.a1	$1$	972.a1	$1$	$972$	$1$
972.474.12b	$12$	R	✓	$1$	$\Q$	972.474.12b	$C_3^3:S_3^2$	$C_3^3:S_3^2$	$972$	972.a1	$1$	972.a1	$1$	$972$	$1$
972.474.12c	$12$	R	✓	$1$	$\Q$	972.474.12c	$C_3^3:S_3^2$	$C_3^3:S_3^2$	$972$	972.a1	$1$	972.a1	$1$	$972$	$1$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
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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
972.474.1a	$1$	R		$1$	\(\Q\)	972.474.1a	$C_3^3:S_3^2$	$C_1$	$1$	1.a1	$972$	1.a1	$972$	$1$	$1$
972.474.1b	$1$	R		$1$	\(\Q\)	972.474.1b	$C_3^3:S_3^2$	$C_2$	$2$	2.b1	$486$	1.a1	$972$	$1$	$1$
972.474.1c	$1$	R		$1$	\(\Q\)	972.474.1c	$C_3^3:S_3^2$	$C_2$	$2$	2.a1	$486$	1.a1	$972$	$1$	$1$
972.474.1d	$1$	R		$1$	\(\Q\)	972.474.1d	$C_3^3:S_3^2$	$C_2$	$2$	2.a1	$486$	1.a1	$972$	$1$	$1$
972.474.2a	$2$	R		$1$	\(\Q\)	972.474.2a	$C_3^3:S_3^2$	$S_3$	$6$	6.b1	$162$	6.b1	$162$	$6$	$1$
972.474.2b	$2$	R		$1$	\(\Q\)	972.474.2b	$C_3^3:S_3^2$	$S_3$	$6$	6.a1	$162$	6.a1	$162$	$6$	$1$
972.474.2c	$2$	R		$1$	\(\Q\)	972.474.2c	$C_3^3:S_3^2$	$S_3$	$6$	6.a1	$162$	6.a1	$162$	$6$	$1$
972.474.2d	$2$	R		$1$	\(\Q\)	972.474.2d	$C_3^3:S_3^2$	$D_6$	$12$	12.a1	$81$	6.a1	$162$	$6$	$1$
972.474.2e	$2$	R		$1$	\(\Q\)	972.474.2e	$C_3^3:S_3^2$	$D_6$	$12$	12.a1	$81$	6.a1	$162$	$6$	$1$
972.474.2f	$2$	R		$1$	\(\Q\)	972.474.2f	$C_3^3:S_3^2$	$D_6$	$12$	12.b1	$81$	6.b1	$162$	$6$	$1$
972.474.4a	$4$	R		$1$	\(\Q\)	972.474.4a	$C_3^3:S_3^2$	$S_3^2$	$36$	36.b1	$27$	36.b1	$27$	$36$	$1$
972.474.4b	$4$	R		$1$	\(\Q\)	972.474.4b	$C_3^3:S_3^2$	$S_3^2$	$36$	36.a1	$27$	36.a1	$27$	$36$	$1$
972.474.4c	$4$	R		$1$	\(\Q\)	972.474.4c	$C_3^3:S_3^2$	$S_3^2$	$36$	36.a1	$27$	36.a1	$27$	$36$	$1$
972.474.4d1	$4$	C		$3$	\(\Q(\sqrt{-3}) \)	972.474.4d	$C_3^3:S_3^2$	$C_3:S_3^2$	$108$	108.b1	$9$	108.b1	$9$	$108$	$1$
972.474.4d2	$4$	C		$3$	\(\Q(\sqrt{-3}) \)	972.474.4d	$C_3^3:S_3^2$	$C_3:S_3^2$	$108$	108.b1	$9$	108.b1	$9$	$108$	$1$
972.474.6a	$6$	R		$1$	\(\Q\)	972.474.6a	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6b	$6$	R		$1$	\(\Q\)	972.474.6b	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6c	$6$	R		$1$	\(\Q\)	972.474.6c	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6d	$6$	R		$1$	\(\Q\)	972.474.6d	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6e	$6$	R		$1$	\(\Q\)	972.474.6e	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6f	$6$	R		$1$	\(\Q\)	972.474.6f	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6g	$6$	R		$1$	\(\Q\)	972.474.6g	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6h	$6$	R		$1$	\(\Q\)	972.474.6h	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6i	$6$	R		$1$	\(\Q\)	972.474.6i	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6j	$6$	R		$1$	\(\Q\)	972.474.6j	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6k	$6$	R		$1$	\(\Q\)	972.474.6k	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.6l	$6$	R		$1$	\(\Q\)	972.474.6l	$C_3^3:S_3^2$	$C_3^2:D_6$	$108$	108.a1	$9$	108.a1	$9$	$108$	$1$
972.474.12a	$12$	R	✓	$1$	\(\Q\)	972.474.12a	$C_3^3:S_3^2$	$C_3^3:S_3^2$	$972$	972.a1	$1$	972.a1	$1$	$972$	$1$
972.474.12b	$12$	R	✓	$1$	\(\Q\)	972.474.12b	$C_3^3:S_3^2$	$C_3^3:S_3^2$	$972$	972.a1	$1$	972.a1	$1$	$972$	$1$
972.474.12c	$12$	R	✓	$1$	\(\Q\)	972.474.12c	$C_3^3:S_3^2$	$C_3^3:S_3^2$	$972$	972.a1	$1$	972.a1	$1$	$972$	$1$