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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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	CM	Base change
1.1-a	4.4.7488.1	$4$	$7488$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$2$		✓
1.1-b	4.4.7488.1	$4$	$7488$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$2$	✓	✓
4.1-a	4.4.7488.1	$4$	$7488$	$[4, 2, w^3 - 2 w^2 - 3 w]$	$4$	$[2, 2, 2, 2]$	$1$	✓	✓
9.1-a	4.4.7488.1	$4$	$7488$	$[9, 3, w^3 - 2 w^2 - 3 w + 1]$	$9$	$[2, 2, 2, 2]$	$1$
9.1-b	4.4.7488.1	$4$	$7488$	$[9, 3, w^3 - 2 w^2 - 3 w + 1]$	$9$	$[2, 2, 2, 2]$	$1$		✓
9.1-c	4.4.7488.1	$4$	$7488$	$[9, 3, w^3 - 2 w^2 - 3 w + 1]$	$9$	$[2, 2, 2, 2]$	$1$		✓
9.1-d	4.4.7488.1	$4$	$7488$	$[9, 3, w^3 - 2 w^2 - 3 w + 1]$	$9$	$[2, 2, 2, 2]$	$1$
9.1-e	4.4.7488.1	$4$	$7488$	$[9, 3, w^3 - 2 w^2 - 3 w + 1]$	$9$	$[2, 2, 2, 2]$	$4$		✓
11.1-a	4.4.7488.1	$4$	$7488$	$[11, 11, -w^3 + 2 w^2 + 4 w]$	$11$	$[2, 2, 2, 2]$	$1$
11.1-b	4.4.7488.1	$4$	$7488$	$[11, 11, -w^3 + 2 w^2 + 4 w]$	$11$	$[2, 2, 2, 2]$	$1$
11.2-a	4.4.7488.1	$4$	$7488$	$[11,11,-w + 2]$	$11$	$[2, 2, 2, 2]$	$1$
11.2-b	4.4.7488.1	$4$	$7488$	$[11,11,-w + 2]$	$11$	$[2, 2, 2, 2]$	$1$
13.1-a	4.4.7488.1	$4$	$7488$	$[13, 13, w + 2]$	$13$	$[2, 2, 2, 2]$	$1$
13.1-b	4.4.7488.1	$4$	$7488$	$[13, 13, w + 2]$	$13$	$[2, 2, 2, 2]$	$1$
13.1-c	4.4.7488.1	$4$	$7488$	$[13, 13, w + 2]$	$13$	$[2, 2, 2, 2]$	$2$
13.1-d	4.4.7488.1	$4$	$7488$	$[13, 13, w + 2]$	$13$	$[2, 2, 2, 2]$	$4$
13.2-a	4.4.7488.1	$4$	$7488$	$[13,13,w^3 - 2 w^2 - 4 w + 4]$	$13$	$[2, 2, 2, 2]$	$1$
13.2-b	4.4.7488.1	$4$	$7488$	$[13,13,w^3 - 2 w^2 - 4 w + 4]$	$13$	$[2, 2, 2, 2]$	$1$
13.2-c	4.4.7488.1	$4$	$7488$	$[13,13,w^3 - 2 w^2 - 4 w + 4]$	$13$	$[2, 2, 2, 2]$	$2$
13.2-d	4.4.7488.1	$4$	$7488$	$[13,13,w^3 - 2 w^2 - 4 w + 4]$	$13$	$[2, 2, 2, 2]$	$4$
13.3-a	4.4.7488.1	$4$	$7488$	$[13, 13, -w^2 + 2 w + 2]$	$13$	$[2, 2, 2, 2]$	$2$
13.3-b	4.4.7488.1	$4$	$7488$	$[13, 13, -w^2 + 2 w + 2]$	$13$	$[2, 2, 2, 2]$	$2$		✓
13.3-c	4.4.7488.1	$4$	$7488$	$[13, 13, -w^2 + 2 w + 2]$	$13$	$[2, 2, 2, 2]$	$2$		✓
13.3-d	4.4.7488.1	$4$	$7488$	$[13, 13, -w^2 + 2 w + 2]$	$13$	$[2, 2, 2, 2]$	$2$
16.1-a	4.4.7488.1	$4$	$7488$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$	✓	✓
16.1-b	4.4.7488.1	$4$	$7488$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$	✓	✓
16.1-c	4.4.7488.1	$4$	$7488$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$
18.1-a	4.4.7488.1	$4$	$7488$	$[18, 6, w^2 - w - 4]$	$18$	$[2, 2, 2, 2]$	$2$
18.1-b	4.4.7488.1	$4$	$7488$	$[18, 6, w^2 - w - 4]$	$18$	$[2, 2, 2, 2]$	$2$
22.1-a	4.4.7488.1	$4$	$7488$	$[22, 22, w^2 - w - 2]$	$22$	$[2, 2, 2, 2]$	$1$
22.1-b	4.4.7488.1	$4$	$7488$	$[22, 22, w^2 - w - 2]$	$22$	$[2, 2, 2, 2]$	$1$
22.1-c	4.4.7488.1	$4$	$7488$	$[22, 22, w^2 - w - 2]$	$22$	$[2, 2, 2, 2]$	$1$
22.1-d	4.4.7488.1	$4$	$7488$	$[22, 22, w^2 - w - 2]$	$22$	$[2, 2, 2, 2]$	$1$
22.1-e	4.4.7488.1	$4$	$7488$	$[22, 22, w^2 - w - 2]$	$22$	$[2, 2, 2, 2]$	$3$
22.1-f	4.4.7488.1	$4$	$7488$	$[22, 22, w^2 - w - 2]$	$22$	$[2, 2, 2, 2]$	$3$
22.2-a	4.4.7488.1	$4$	$7488$	$[22,22,w^3 - 3 w^2 - 2 w + 4]$	$22$	$[2, 2, 2, 2]$	$1$
22.2-b	4.4.7488.1	$4$	$7488$	$[22,22,w^3 - 3 w^2 - 2 w + 4]$	$22$	$[2, 2, 2, 2]$	$1$
22.2-c	4.4.7488.1	$4$	$7488$	$[22,22,w^3 - 3 w^2 - 2 w + 4]$	$22$	$[2, 2, 2, 2]$	$1$
22.2-d	4.4.7488.1	$4$	$7488$	$[22,22,w^3 - 3 w^2 - 2 w + 4]$	$22$	$[2, 2, 2, 2]$	$1$
22.2-e	4.4.7488.1	$4$	$7488$	$[22,22,w^3 - 3 w^2 - 2 w + 4]$	$22$	$[2, 2, 2, 2]$	$3$
22.2-f	4.4.7488.1	$4$	$7488$	$[22,22,w^3 - 3 w^2 - 2 w + 4]$	$22$	$[2, 2, 2, 2]$	$3$
26.1-a	4.4.7488.1	$4$	$7488$	$[26, 26, -w^3 + w^2 + 6 w]$	$26$	$[2, 2, 2, 2]$	$1$
26.1-b	4.4.7488.1	$4$	$7488$	$[26, 26, -w^3 + w^2 + 6 w]$	$26$	$[2, 2, 2, 2]$	$1$
26.1-c	4.4.7488.1	$4$	$7488$	$[26, 26, -w^3 + w^2 + 6 w]$	$26$	$[2, 2, 2, 2]$	$3$
26.1-d	4.4.7488.1	$4$	$7488$	$[26, 26, -w^3 + w^2 + 6 w]$	$26$	$[2, 2, 2, 2]$	$3$
26.2-a	4.4.7488.1	$4$	$7488$	$[26,26,w^2 - 3 w - 2]$	$26$	$[2, 2, 2, 2]$	$1$
26.2-b	4.4.7488.1	$4$	$7488$	$[26,26,w^2 - 3 w - 2]$	$26$	$[2, 2, 2, 2]$	$1$
26.2-c	4.4.7488.1	$4$	$7488$	$[26,26,w^2 - 3 w - 2]$	$26$	$[2, 2, 2, 2]$	$3$
26.2-d	4.4.7488.1	$4$	$7488$	$[26,26,w^2 - 3 w - 2]$	$26$	$[2, 2, 2, 2]$	$3$
26.3-a	4.4.7488.1	$4$	$7488$	$[26, 26, -2 w^3 + 3 w^2 + 9 w]$	$26$	$[2, 2, 2, 2]$	$1$

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