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 (1-50 of 640 matches)

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	Base change
1.1-a	4.4.15317.1	$4$	$15317$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$4$	✓
2.1-a	4.4.15317.1	$4$	$15317$	$[2, 2, w]$	$2$	$[2, 2, 2, 2]$	$1$
2.2-a	4.4.15317.1	$4$	$15317$	$[2,2,-w + 1]$	$2$	$[2, 2, 2, 2]$	$1$
4.1-a	4.4.15317.1	$4$	$15317$	$[4, 2, -w^2 + w + 4]$	$4$	$[2, 2, 2, 2]$	$1$
4.1-b	4.4.15317.1	$4$	$15317$	$[4, 2, -w^2 + w + 4]$	$4$	$[2, 2, 2, 2]$	$1$
4.1-c	4.4.15317.1	$4$	$15317$	$[4, 2, -w^2 + w + 4]$	$4$	$[2, 2, 2, 2]$	$2$	✓
4.1-d	4.4.15317.1	$4$	$15317$	$[4, 2, -w^2 + w + 4]$	$4$	$[2, 2, 2, 2]$	$3$	✓
4.2-a	4.4.15317.1	$4$	$15317$	$[4, 2, -w^2 + w + 1]$	$4$	$[2, 2, 2, 2]$	$4$
4.2-b	4.4.15317.1	$4$	$15317$	$[4, 2, -w^2 + w + 1]$	$4$	$[2, 2, 2, 2]$	$5$	✓
4.3-a	4.4.15317.1	$4$	$15317$	$[4, 4, -w - 1]$	$4$	$[2, 2, 2, 2]$	$3$
4.4-a	4.4.15317.1	$4$	$15317$	$[4,4,w - 2]$	$4$	$[2, 2, 2, 2]$	$3$
8.1-a	4.4.15317.1	$4$	$15317$	$[8, 2, w^3 - w^2 - 5 w]$	$8$	$[2, 2, 2, 2]$	$1$
8.1-b	4.4.15317.1	$4$	$15317$	$[8, 2, w^3 - w^2 - 5 w]$	$8$	$[2, 2, 2, 2]$	$1$
8.1-c	4.4.15317.1	$4$	$15317$	$[8, 2, w^3 - w^2 - 5 w]$	$8$	$[2, 2, 2, 2]$	$1$
8.1-d	4.4.15317.1	$4$	$15317$	$[8, 2, w^3 - w^2 - 5 w]$	$8$	$[2, 2, 2, 2]$	$2$
8.1-e	4.4.15317.1	$4$	$15317$	$[8, 2, w^3 - w^2 - 5 w]$	$8$	$[2, 2, 2, 2]$	$2$
8.1-f	4.4.15317.1	$4$	$15317$	$[8, 2, w^3 - w^2 - 5 w]$	$8$	$[2, 2, 2, 2]$	$2$
8.2-a	4.4.15317.1	$4$	$15317$	$[8,2,-w^3 + 2 w^2 + 4 w - 5]$	$8$	$[2, 2, 2, 2]$	$1$
8.2-b	4.4.15317.1	$4$	$15317$	$[8,2,-w^3 + 2 w^2 + 4 w - 5]$	$8$	$[2, 2, 2, 2]$	$1$
8.2-c	4.4.15317.1	$4$	$15317$	$[8,2,-w^3 + 2 w^2 + 4 w - 5]$	$8$	$[2, 2, 2, 2]$	$1$
8.2-d	4.4.15317.1	$4$	$15317$	$[8,2,-w^3 + 2 w^2 + 4 w - 5]$	$8$	$[2, 2, 2, 2]$	$2$
8.2-e	4.4.15317.1	$4$	$15317$	$[8,2,-w^3 + 2 w^2 + 4 w - 5]$	$8$	$[2, 2, 2, 2]$	$2$
8.2-f	4.4.15317.1	$4$	$15317$	$[8,2,-w^3 + 2 w^2 + 4 w - 5]$	$8$	$[2, 2, 2, 2]$	$2$
8.3-a	4.4.15317.1	$4$	$15317$	$[8, 4, -w^3 + w^2 + 4 w]$	$8$	$[2, 2, 2, 2]$	$2$
8.4-a	4.4.15317.1	$4$	$15317$	$[8,4,w^3 - 2 w^2 - 3 w + 4]$	$8$	$[2, 2, 2, 2]$	$2$
8.5-a	4.4.15317.1	$4$	$15317$	$[8, 8, -w^2 + 2 w]$	$8$	$[2, 2, 2, 2]$	$1$
8.5-b	4.4.15317.1	$4$	$15317$	$[8, 8, -w^2 + 2 w]$	$8$	$[2, 2, 2, 2]$	$1$
8.5-c	4.4.15317.1	$4$	$15317$	$[8, 8, -w^2 + 2 w]$	$8$	$[2, 2, 2, 2]$	$4$
8.5-d	4.4.15317.1	$4$	$15317$	$[8, 8, -w^2 + 2 w]$	$8$	$[2, 2, 2, 2]$	$4$
8.6-a	4.4.15317.1	$4$	$15317$	$[8,8,-w^2 + 1]$	$8$	$[2, 2, 2, 2]$	$1$
8.6-b	4.4.15317.1	$4$	$15317$	$[8,8,-w^2 + 1]$	$8$	$[2, 2, 2, 2]$	$1$
8.6-c	4.4.15317.1	$4$	$15317$	$[8,8,-w^2 + 1]$	$8$	$[2, 2, 2, 2]$	$4$
8.6-d	4.4.15317.1	$4$	$15317$	$[8,8,-w^2 + 1]$	$8$	$[2, 2, 2, 2]$	$4$
16.1-a	4.4.15317.1	$4$	$15317$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$	✓
16.1-b	4.4.15317.1	$4$	$15317$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$	✓
16.1-c	4.4.15317.1	$4$	$15317$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$	✓
16.1-d	4.4.15317.1	$4$	$15317$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$
16.1-e	4.4.15317.1	$4$	$15317$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$
16.1-f	4.4.15317.1	$4$	$15317$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$	✓
16.2-a	4.4.15317.1	$4$	$15317$	$[16, 4, -w^3 + w^2 + 3 w - 2]$	$16$	$[2, 2, 2, 2]$	$5$
16.2-b	4.4.15317.1	$4$	$15317$	$[16, 4, -w^3 + w^2 + 3 w - 2]$	$16$	$[2, 2, 2, 2]$	$5$
16.3-a	4.4.15317.1	$4$	$15317$	$[16, 4, w^2 - w - 3]$	$16$	$[2, 2, 2, 2]$	$5$	✓
16.3-b	4.4.15317.1	$4$	$15317$	$[16, 4, w^2 - w - 3]$	$16$	$[2, 2, 2, 2]$	$10$
16.3-c	4.4.15317.1	$4$	$15317$	$[16, 4, w^2 - w - 3]$	$16$	$[2, 2, 2, 2]$	$16$
16.4-a	4.4.15317.1	$4$	$15317$	$[16, 4, w^2 - w - 2]$	$16$	$[2, 2, 2, 2]$	$5$	✓
16.5-a	4.4.15317.1	$4$	$15317$	$[16,4,w^3 - 2 w^2 - 2 w + 1]$	$16$	$[2, 2, 2, 2]$	$5$
16.5-b	4.4.15317.1	$4$	$15317$	$[16,4,w^3 - 2 w^2 - 2 w + 1]$	$16$	$[2, 2, 2, 2]$	$5$
16.6-a	4.4.15317.1	$4$	$15317$	$[16, 8, w^2 - 3 w]$	$16$	$[2, 2, 2, 2]$	$1$
16.6-b	4.4.15317.1	$4$	$15317$	$[16, 8, w^2 - 3 w]$	$16$	$[2, 2, 2, 2]$	$1$
16.6-c	4.4.15317.1	$4$	$15317$	$[16, 8, w^2 - 3 w]$	$16$	$[2, 2, 2, 2]$	$1$

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