LMFDB - Hilbert modular form search results

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Base field	Base field degree	Base field discriminant	CM	Field bad primes

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Results (36 matches)

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	Base change
1.1-a	$\Q(\sqrt{397}) $	$2$	$397$	$[1, 1, 1]$	$1$	$[2, 2]$	$1$	✓
1.1-b	$\Q(\sqrt{397}) $	$2$	$397$	$[1, 1, 1]$	$1$	$[2, 2]$	$2$
1.1-c	$\Q(\sqrt{397}) $	$2$	$397$	$[1, 1, 1]$	$1$	$[2, 2]$	$15$	✓
3.1-a	$\Q(\sqrt{397}) $	$2$	$397$	$[3, 3, 2w - 21]$	$3$	$[2, 2]$	$1$
3.1-b	$\Q(\sqrt{397}) $	$2$	$397$	$[3, 3, 2w - 21]$	$3$	$[2, 2]$	$10$
3.1-c	$\Q(\sqrt{397}) $	$2$	$397$	$[3, 3, 2w - 21]$	$3$	$[2, 2]$	$13$
3.2-a	$\Q(\sqrt{397}) $	$2$	$397$	$[3,3,-2w - 19]$	$3$	$[2, 2]$	$1$
3.2-b	$\Q(\sqrt{397}) $	$2$	$397$	$[3,3,-2w - 19]$	$3$	$[2, 2]$	$10$
3.2-c	$\Q(\sqrt{397}) $	$2$	$397$	$[3,3,-2w - 19]$	$3$	$[2, 2]$	$13$
4.1-a	$\Q(\sqrt{397}) $	$2$	$397$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$
4.1-b	$\Q(\sqrt{397}) $	$2$	$397$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$
4.1-c	$\Q(\sqrt{397}) $	$2$	$397$	$[4, 2, 2]$	$4$	$[2, 2]$	$8$
4.1-d	$\Q(\sqrt{397}) $	$2$	$397$	$[4, 2, 2]$	$4$	$[2, 2]$	$14$
4.1-e	$\Q(\sqrt{397}) $	$2$	$397$	$[4, 2, 2]$	$4$	$[2, 2]$	$17$	✓
9.1-a	$\Q(\sqrt{397}) $	$2$	$397$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$	✓
9.1-b	$\Q(\sqrt{397}) $	$2$	$397$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$
9.1-c	$\Q(\sqrt{397}) $	$2$	$397$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$
9.1-d	$\Q(\sqrt{397}) $	$2$	$397$	$[9, 3, 3]$	$9$	$[2, 2]$	$4$
9.1-e	$\Q(\sqrt{397}) $	$2$	$397$	$[9, 3, 3]$	$9$	$[2, 2]$	$12$
9.1-f	$\Q(\sqrt{397}) $	$2$	$397$	$[9, 3, 3]$	$9$	$[2, 2]$	$12$
9.1-g	$\Q(\sqrt{397}) $	$2$	$397$	$[9, 3, 3]$	$9$	$[2, 2]$	$16$	✓
9.1-h	$\Q(\sqrt{397}) $	$2$	$397$	$[9, 3, 3]$	$9$	$[2, 2]$	$16$	✓
9.2-a	$\Q(\sqrt{397}) $	$2$	$397$	$[9, 9, -w - 9]$	$9$	$[2, 2]$	$1$
9.2-b	$\Q(\sqrt{397}) $	$2$	$397$	$[9, 9, -w - 9]$	$9$	$[2, 2]$	$1$
9.2-c	$\Q(\sqrt{397}) $	$2$	$397$	$[9, 9, -w - 9]$	$9$	$[2, 2]$	$2$
9.2-d	$\Q(\sqrt{397}) $	$2$	$397$	$[9, 9, -w - 9]$	$9$	$[2, 2]$	$10$
9.2-e	$\Q(\sqrt{397}) $	$2$	$397$	$[9, 9, -w - 9]$	$9$	$[2, 2]$	$13$
9.2-f	$\Q(\sqrt{397}) $	$2$	$397$	$[9, 9, -w - 9]$	$9$	$[2, 2]$	$15$
9.2-g	$\Q(\sqrt{397}) $	$2$	$397$	$[9, 9, -w - 9]$	$9$	$[2, 2]$	$26$
9.3-a	$\Q(\sqrt{397}) $	$2$	$397$	$[9,9,w - 10]$	$9$	$[2, 2]$	$1$
9.3-b	$\Q(\sqrt{397}) $	$2$	$397$	$[9,9,w - 10]$	$9$	$[2, 2]$	$1$
9.3-c	$\Q(\sqrt{397}) $	$2$	$397$	$[9,9,w - 10]$	$9$	$[2, 2]$	$2$
9.3-d	$\Q(\sqrt{397}) $	$2$	$397$	$[9,9,w - 10]$	$9$	$[2, 2]$	$10$
9.3-e	$\Q(\sqrt{397}) $	$2$	$397$	$[9,9,w - 10]$	$9$	$[2, 2]$	$13$
9.3-f	$\Q(\sqrt{397}) $	$2$	$397$	$[9,9,w - 10]$	$9$	$[2, 2]$	$15$
9.3-g	$\Q(\sqrt{397}) $	$2$	$397$	$[9,9,w - 10]$	$9$	$[2, 2]$	$26$

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Elliptic curves over $\Q$
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Results (36 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	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	Base change
1.1-a	\(\Q(\sqrt{397}) \)	$2$	$397$	$[1, 1, 1]$	$1$	$[2, 2]$	$1$	✓
1.1-b	\(\Q(\sqrt{397}) \)	$2$	$397$	$[1, 1, 1]$	$1$	$[2, 2]$	$2$
1.1-c	\(\Q(\sqrt{397}) \)	$2$	$397$	$[1, 1, 1]$	$1$	$[2, 2]$	$15$	✓
3.1-a	\(\Q(\sqrt{397}) \)	$2$	$397$	$[3, 3, 2w - 21]$	$3$	$[2, 2]$	$1$
3.1-b	\(\Q(\sqrt{397}) \)	$2$	$397$	$[3, 3, 2w - 21]$	$3$	$[2, 2]$	$10$
3.1-c	\(\Q(\sqrt{397}) \)	$2$	$397$	$[3, 3, 2w - 21]$	$3$	$[2, 2]$	$13$
3.2-a	\(\Q(\sqrt{397}) \)	$2$	$397$	$[3,3,-2w - 19]$	$3$	$[2, 2]$	$1$
3.2-b	\(\Q(\sqrt{397}) \)	$2$	$397$	$[3,3,-2w - 19]$	$3$	$[2, 2]$	$10$
3.2-c	\(\Q(\sqrt{397}) \)	$2$	$397$	$[3,3,-2w - 19]$	$3$	$[2, 2]$	$13$
4.1-a	\(\Q(\sqrt{397}) \)	$2$	$397$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$
4.1-b	\(\Q(\sqrt{397}) \)	$2$	$397$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$
4.1-c	\(\Q(\sqrt{397}) \)	$2$	$397$	$[4, 2, 2]$	$4$	$[2, 2]$	$8$
4.1-d	\(\Q(\sqrt{397}) \)	$2$	$397$	$[4, 2, 2]$	$4$	$[2, 2]$	$14$
4.1-e	\(\Q(\sqrt{397}) \)	$2$	$397$	$[4, 2, 2]$	$4$	$[2, 2]$	$17$	✓
9.1-a	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$	✓
9.1-b	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$
9.1-c	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$
9.1-d	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9, 3, 3]$	$9$	$[2, 2]$	$4$
9.1-e	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9, 3, 3]$	$9$	$[2, 2]$	$12$
9.1-f	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9, 3, 3]$	$9$	$[2, 2]$	$12$
9.1-g	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9, 3, 3]$	$9$	$[2, 2]$	$16$	✓
9.1-h	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9, 3, 3]$	$9$	$[2, 2]$	$16$	✓
9.2-a	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9, 9, -w - 9]$	$9$	$[2, 2]$	$1$
9.2-b	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9, 9, -w - 9]$	$9$	$[2, 2]$	$1$
9.2-c	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9, 9, -w - 9]$	$9$	$[2, 2]$	$2$
9.2-d	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9, 9, -w - 9]$	$9$	$[2, 2]$	$10$
9.2-e	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9, 9, -w - 9]$	$9$	$[2, 2]$	$13$
9.2-f	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9, 9, -w - 9]$	$9$	$[2, 2]$	$15$
9.2-g	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9, 9, -w - 9]$	$9$	$[2, 2]$	$26$
9.3-a	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9,9,w - 10]$	$9$	$[2, 2]$	$1$
9.3-b	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9,9,w - 10]$	$9$	$[2, 2]$	$1$
9.3-c	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9,9,w - 10]$	$9$	$[2, 2]$	$2$
9.3-d	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9,9,w - 10]$	$9$	$[2, 2]$	$10$
9.3-e	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9,9,w - 10]$	$9$	$[2, 2]$	$13$
9.3-f	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9,9,w - 10]$	$9$	$[2, 2]$	$15$
9.3-g	\(\Q(\sqrt{397}) \)	$2$	$397$	$[9,9,w - 10]$	$9$	$[2, 2]$	$26$