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 1658 matches)

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	CM	Base change
1.1-a	4.4.4752.1	$4$	$4752$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$2$	✓	✓
4.1-a	4.4.4752.1	$4$	$4752$	$[4, 2, -w^{3} + w^{2} + 3w]$	$4$	$[2, 2, 2, 2]$	$2$		✓
9.1-a	4.4.4752.1	$4$	$4752$	$[9, 3, -w^{2} + w + 2]$	$9$	$[2, 2, 2, 2]$	$1$		✓
9.1-b	4.4.4752.1	$4$	$4752$	$[9, 3, -w^{2} + w + 2]$	$9$	$[2, 2, 2, 2]$	$1$	✓	✓
9.1-c	4.4.4752.1	$4$	$4752$	$[9, 3, -w^{2} + w + 2]$	$9$	$[2, 2, 2, 2]$	$1$		✓
13.1-a	4.4.4752.1	$4$	$4752$	$[13, 13, w^{3} - 2w^{2} - w + 1]$	$13$	$[2, 2, 2, 2]$	$4$
13.2-a	4.4.4752.1	$4$	$4752$	$[13,13,-w^{3} + w^{2} + 2w - 1]$	$13$	$[2, 2, 2, 2]$	$4$
16.1-a	4.4.4752.1	$4$	$4752$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$	✓	✓
16.1-b	4.4.4752.1	$4$	$4752$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$		✓
23.1-a	4.4.4752.1	$4$	$4752$	$[23, 23, -w^{3} + w^{2} + 4w - 2]$	$23$	$[2, 2, 2, 2]$	$1$
23.1-b	4.4.4752.1	$4$	$4752$	$[23, 23, -w^{3} + w^{2} + 4w - 2]$	$23$	$[2, 2, 2, 2]$	$1$
23.2-a	4.4.4752.1	$4$	$4752$	$[23,23,w^{3} - 2w^{2} - 3w + 2]$	$23$	$[2, 2, 2, 2]$	$1$
23.2-b	4.4.4752.1	$4$	$4752$	$[23,23,w^{3} - 2w^{2} - 3w + 2]$	$23$	$[2, 2, 2, 2]$	$1$
27.1-a	4.4.4752.1	$4$	$4752$	$[27, 3, w^{3} - 3w - 2]$	$27$	$[2, 2, 2, 2]$	$1$
27.1-b	4.4.4752.1	$4$	$4752$	$[27, 3, w^{3} - 3w - 2]$	$27$	$[2, 2, 2, 2]$	$1$
27.1-c	4.4.4752.1	$4$	$4752$	$[27, 3, w^{3} - 3w - 2]$	$27$	$[2, 2, 2, 2]$	$1$
27.1-d	4.4.4752.1	$4$	$4752$	$[27, 3, w^{3} - 3w - 2]$	$27$	$[2, 2, 2, 2]$	$1$
33.1-a	4.4.4752.1	$4$	$4752$	$[33, 33, 2w - 1]$	$33$	$[2, 2, 2, 2]$	$1$
33.1-b	4.4.4752.1	$4$	$4752$	$[33, 33, 2w - 1]$	$33$	$[2, 2, 2, 2]$	$1$		✓
33.1-c	4.4.4752.1	$4$	$4752$	$[33, 33, 2w - 1]$	$33$	$[2, 2, 2, 2]$	$1$
33.1-d	4.4.4752.1	$4$	$4752$	$[33, 33, 2w - 1]$	$33$	$[2, 2, 2, 2]$	$1$		✓
33.1-e	4.4.4752.1	$4$	$4752$	$[33, 33, 2w - 1]$	$33$	$[2, 2, 2, 2]$	$1$
33.1-f	4.4.4752.1	$4$	$4752$	$[33, 33, 2w - 1]$	$33$	$[2, 2, 2, 2]$	$1$		✓
33.1-g	4.4.4752.1	$4$	$4752$	$[33, 33, 2w - 1]$	$33$	$[2, 2, 2, 2]$	$1$		✓
33.1-h	4.4.4752.1	$4$	$4752$	$[33, 33, 2w - 1]$	$33$	$[2, 2, 2, 2]$	$1$
33.1-i	4.4.4752.1	$4$	$4752$	$[33, 33, 2w - 1]$	$33$	$[2, 2, 2, 2]$	$1$		✓
33.1-j	4.4.4752.1	$4$	$4752$	$[33, 33, 2w - 1]$	$33$	$[2, 2, 2, 2]$	$1$		✓
36.1-a	4.4.4752.1	$4$	$4752$	$[36, 6, -w^{3} + w^{2} + 5w]$	$36$	$[2, 2, 2, 2]$	$1$
36.1-b	4.4.4752.1	$4$	$4752$	$[36, 6, -w^{3} + w^{2} + 5w]$	$36$	$[2, 2, 2, 2]$	$1$
36.1-c	4.4.4752.1	$4$	$4752$	$[36, 6, -w^{3} + w^{2} + 5w]$	$36$	$[2, 2, 2, 2]$	$1$
36.1-d	4.4.4752.1	$4$	$4752$	$[36, 6, -w^{3} + w^{2} + 5w]$	$36$	$[2, 2, 2, 2]$	$1$
36.1-e	4.4.4752.1	$4$	$4752$	$[36, 6, -w^{3} + w^{2} + 5w]$	$36$	$[2, 2, 2, 2]$	$2$		✓
39.1-a	4.4.4752.1	$4$	$4752$	$[39, 39, w^{2} - 2w - 3]$	$39$	$[2, 2, 2, 2]$	$1$
39.1-b	4.4.4752.1	$4$	$4752$	$[39, 39, w^{2} - 2w - 3]$	$39$	$[2, 2, 2, 2]$	$1$
39.1-c	4.4.4752.1	$4$	$4752$	$[39, 39, w^{2} - 2w - 3]$	$39$	$[2, 2, 2, 2]$	$1$
39.1-d	4.4.4752.1	$4$	$4752$	$[39, 39, w^{2} - 2w - 3]$	$39$	$[2, 2, 2, 2]$	$1$
39.1-e	4.4.4752.1	$4$	$4752$	$[39, 39, w^{2} - 2w - 3]$	$39$	$[2, 2, 2, 2]$	$1$
39.1-f	4.4.4752.1	$4$	$4752$	$[39, 39, w^{2} - 2w - 3]$	$39$	$[2, 2, 2, 2]$	$1$
39.2-a	4.4.4752.1	$4$	$4752$	$[39,39,w^{2} - 4]$	$39$	$[2, 2, 2, 2]$	$1$
39.2-b	4.4.4752.1	$4$	$4752$	$[39,39,w^{2} - 4]$	$39$	$[2, 2, 2, 2]$	$1$
39.2-c	4.4.4752.1	$4$	$4752$	$[39,39,w^{2} - 4]$	$39$	$[2, 2, 2, 2]$	$1$
39.2-d	4.4.4752.1	$4$	$4752$	$[39,39,w^{2} - 4]$	$39$	$[2, 2, 2, 2]$	$1$
39.2-e	4.4.4752.1	$4$	$4752$	$[39,39,w^{2} - 4]$	$39$	$[2, 2, 2, 2]$	$1$
39.2-f	4.4.4752.1	$4$	$4752$	$[39,39,w^{2} - 4]$	$39$	$[2, 2, 2, 2]$	$1$
44.1-a	4.4.4752.1	$4$	$4752$	$[44, 22, -w^{3} + w^{2} + w - 2]$	$44$	$[2, 2, 2, 2]$	$1$		✓
44.1-b	4.4.4752.1	$4$	$4752$	$[44, 22, -w^{3} + w^{2} + w - 2]$	$44$	$[2, 2, 2, 2]$	$1$		✓
44.1-c	4.4.4752.1	$4$	$4752$	$[44, 22, -w^{3} + w^{2} + w - 2]$	$44$	$[2, 2, 2, 2]$	$1$		✓
44.1-d	4.4.4752.1	$4$	$4752$	$[44, 22, -w^{3} + w^{2} + w - 2]$	$44$	$[2, 2, 2, 2]$	$1$		✓
44.1-e	4.4.4752.1	$4$	$4752$	$[44, 22, -w^{3} + w^{2} + w - 2]$	$44$	$[2, 2, 2, 2]$	$2$
44.1-f	4.4.4752.1	$4$	$4752$	$[44, 22, -w^{3} + w^{2} + w - 2]$	$44$	$[2, 2, 2, 2]$	$2$

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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.