LMFDB - Hilbert modular form search results

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

Weight	Level norm	Dimension	Base change	Level bad primes

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Results (1-50 of 832 matches)

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	Base change
1.1-a	4.4.8112.1	$4$	$8112$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$4$	✓
4.1-a	4.4.8112.1	$4$	$8112$	$[4, 2, w^{2} - w - 1]$	$4$	$[2, 2, 2, 2]$	$1$	✓
4.1-b	4.4.8112.1	$4$	$8112$	$[4, 2, w^{2} - w - 1]$	$4$	$[2, 2, 2, 2]$	$1$	✓
9.1-a	4.4.8112.1	$4$	$8112$	$[9, 3, -w^{2} + 3]$	$9$	$[2, 2, 2, 2]$	$1$
9.1-b	4.4.8112.1	$4$	$8112$	$[9, 3, -w^{2} + 3]$	$9$	$[2, 2, 2, 2]$	$1$	✓
9.1-c	4.4.8112.1	$4$	$8112$	$[9, 3, -w^{2} + 3]$	$9$	$[2, 2, 2, 2]$	$1$	✓
9.1-d	4.4.8112.1	$4$	$8112$	$[9, 3, -w^{2} + 3]$	$9$	$[2, 2, 2, 2]$	$1$
9.1-e	4.4.8112.1	$4$	$8112$	$[9, 3, -w^{2} + 3]$	$9$	$[2, 2, 2, 2]$	$2$
9.2-a	4.4.8112.1	$4$	$8112$	$[9, 3, -w^{2} + 2]$	$9$	$[2, 2, 2, 2]$	$2$	✓
9.2-b	4.4.8112.1	$4$	$8112$	$[9, 3, -w^{2} + 2]$	$9$	$[2, 2, 2, 2]$	$4$	✓
12.1-a	4.4.8112.1	$4$	$8112$	$[12, 6, w^{2} - w - 3]$	$12$	$[2, 2, 2, 2]$	$1$
12.1-b	4.4.8112.1	$4$	$8112$	$[12, 6, w^{2} - w - 3]$	$12$	$[2, 2, 2, 2]$	$1$
12.1-c	4.4.8112.1	$4$	$8112$	$[12, 6, w^{2} - w - 3]$	$12$	$[2, 2, 2, 2]$	$1$
12.1-d	4.4.8112.1	$4$	$8112$	$[12, 6, w^{2} - w - 3]$	$12$	$[2, 2, 2, 2]$	$1$
13.1-a	4.4.8112.1	$4$	$8112$	$[13, 13, w^{3} - 4w + 2]$	$13$	$[2, 2, 2, 2]$	$1$
13.1-b	4.4.8112.1	$4$	$8112$	$[13, 13, w^{3} - 4w + 2]$	$13$	$[2, 2, 2, 2]$	$1$
13.1-c	4.4.8112.1	$4$	$8112$	$[13, 13, w^{3} - 4w + 2]$	$13$	$[2, 2, 2, 2]$	$3$
13.1-d	4.4.8112.1	$4$	$8112$	$[13, 13, w^{3} - 4w + 2]$	$13$	$[2, 2, 2, 2]$	$3$
13.2-a	4.4.8112.1	$4$	$8112$	$[13,13,-w^{3} + 4w + 2]$	$13$	$[2, 2, 2, 2]$	$1$
13.2-b	4.4.8112.1	$4$	$8112$	$[13,13,-w^{3} + 4w + 2]$	$13$	$[2, 2, 2, 2]$	$1$
13.2-c	4.4.8112.1	$4$	$8112$	$[13,13,-w^{3} + 4w + 2]$	$13$	$[2, 2, 2, 2]$	$3$
13.2-d	4.4.8112.1	$4$	$8112$	$[13,13,-w^{3} + 4w + 2]$	$13$	$[2, 2, 2, 2]$	$3$
16.1-a	4.4.8112.1	$4$	$8112$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$	✓
16.1-b	4.4.8112.1	$4$	$8112$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$	✓
16.1-c	4.4.8112.1	$4$	$8112$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$	✓
17.1-a	4.4.8112.1	$4$	$8112$	$[17, 17, w^{3} - 3w - 1]$	$17$	$[2, 2, 2, 2]$	$1$
17.1-b	4.4.8112.1	$4$	$8112$	$[17, 17, w^{3} - 3w - 1]$	$17$	$[2, 2, 2, 2]$	$1$
17.1-c	4.4.8112.1	$4$	$8112$	$[17, 17, w^{3} - 3w - 1]$	$17$	$[2, 2, 2, 2]$	$2$
17.1-d	4.4.8112.1	$4$	$8112$	$[17, 17, w^{3} - 3w - 1]$	$17$	$[2, 2, 2, 2]$	$2$
17.1-e	4.4.8112.1	$4$	$8112$	$[17, 17, w^{3} - 3w - 1]$	$17$	$[2, 2, 2, 2]$	$2$
17.1-f	4.4.8112.1	$4$	$8112$	$[17, 17, w^{3} - 3w - 1]$	$17$	$[2, 2, 2, 2]$	$2$
17.2-a	4.4.8112.1	$4$	$8112$	$[17,17,-w^{3} + 3w - 1]$	$17$	$[2, 2, 2, 2]$	$1$
17.2-b	4.4.8112.1	$4$	$8112$	$[17,17,-w^{3} + 3w - 1]$	$17$	$[2, 2, 2, 2]$	$1$
17.2-c	4.4.8112.1	$4$	$8112$	$[17,17,-w^{3} + 3w - 1]$	$17$	$[2, 2, 2, 2]$	$2$
17.2-d	4.4.8112.1	$4$	$8112$	$[17,17,-w^{3} + 3w - 1]$	$17$	$[2, 2, 2, 2]$	$2$
17.2-e	4.4.8112.1	$4$	$8112$	$[17,17,-w^{3} + 3w - 1]$	$17$	$[2, 2, 2, 2]$	$2$
17.2-f	4.4.8112.1	$4$	$8112$	$[17,17,-w^{3} + 3w - 1]$	$17$	$[2, 2, 2, 2]$	$2$
27.1-a	4.4.8112.1	$4$	$8112$	$[27, 3, -w^{3} + 5w]$	$27$	$[2, 2, 2, 2]$	$1$
27.1-b	4.4.8112.1	$4$	$8112$	$[27, 3, -w^{3} + 5w]$	$27$	$[2, 2, 2, 2]$	$1$
27.1-c	4.4.8112.1	$4$	$8112$	$[27, 3, -w^{3} + 5w]$	$27$	$[2, 2, 2, 2]$	$1$	✓
27.1-d	4.4.8112.1	$4$	$8112$	$[27, 3, -w^{3} + 5w]$	$27$	$[2, 2, 2, 2]$	$1$	✓
27.1-e	4.4.8112.1	$4$	$8112$	$[27, 3, -w^{3} + 5w]$	$27$	$[2, 2, 2, 2]$	$1$
27.1-f	4.4.8112.1	$4$	$8112$	$[27, 3, -w^{3} + 5w]$	$27$	$[2, 2, 2, 2]$	$1$
27.1-g	4.4.8112.1	$4$	$8112$	$[27, 3, -w^{3} + 5w]$	$27$	$[2, 2, 2, 2]$	$2$
27.1-h	4.4.8112.1	$4$	$8112$	$[27, 3, -w^{3} + 5w]$	$27$	$[2, 2, 2, 2]$	$2$
27.2-a	4.4.8112.1	$4$	$8112$	$[27, 9, -w^{3} + 3w]$	$27$	$[2, 2, 2, 2]$	$1$
27.2-b	4.4.8112.1	$4$	$8112$	$[27, 9, -w^{3} + 3w]$	$27$	$[2, 2, 2, 2]$	$1$
27.2-c	4.4.8112.1	$4$	$8112$	$[27, 9, -w^{3} + 3w]$	$27$	$[2, 2, 2, 2]$	$1$
27.2-d	4.4.8112.1	$4$	$8112$	$[27, 9, -w^{3} + 3w]$	$27$	$[2, 2, 2, 2]$	$1$
27.2-e	4.4.8112.1	$4$	$8112$	$[27, 9, -w^{3} + 3w]$	$27$	$[2, 2, 2, 2]$	$2$

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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.