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 563 matches)

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	CM	Base change
1.1-a	4.4.13068.1	$4$	$13068$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$1$	✓	✓
1.1-b	4.4.13068.1	$4$	$13068$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$2$	✓	✓
1.1-c	4.4.13068.1	$4$	$13068$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$4$		✓
3.1-a	4.4.13068.1	$4$	$13068$	$[3, 3, -w^3 + 2 w^2 + 4 w - 2]$	$3$	$[2, 2, 2, 2]$	$2$		✓
4.1-a	4.4.13068.1	$4$	$13068$	$[4, 2, w^3 - 2 w^2 - 3 w]$	$4$	$[2, 2, 2, 2]$	$1$
4.1-b	4.4.13068.1	$4$	$13068$	$[4, 2, w^3 - 2 w^2 - 3 w]$	$4$	$[2, 2, 2, 2]$	$1$	✓	✓
4.1-c	4.4.13068.1	$4$	$13068$	$[4, 2, w^3 - 2 w^2 - 3 w]$	$4$	$[2, 2, 2, 2]$	$1$
4.2-a	4.4.13068.1	$4$	$13068$	$[4, 2, w^3 - w^2 - 5 w - 2]$	$4$	$[2, 2, 2, 2]$	$6$		✓
6.1-a	4.4.13068.1	$4$	$13068$	$[6, 6, -w^3 + w^2 + 6 w]$	$6$	$[2, 2, 2, 2]$	$1$		✓
6.1-b	4.4.13068.1	$4$	$13068$	$[6, 6, -w^3 + w^2 + 6 w]$	$6$	$[2, 2, 2, 2]$	$1$		✓
8.1-a	4.4.13068.1	$4$	$13068$	$[8, 2, w^3 - 2 w^2 - 4 w + 3]$	$8$	$[2, 2, 2, 2]$	$1$		✓
8.1-b	4.4.13068.1	$4$	$13068$	$[8, 2, w^3 - 2 w^2 - 4 w + 3]$	$8$	$[2, 2, 2, 2]$	$1$		✓
8.1-c	4.4.13068.1	$4$	$13068$	$[8, 2, w^3 - 2 w^2 - 4 w + 3]$	$8$	$[2, 2, 2, 2]$	$1$		✓
8.1-d	4.4.13068.1	$4$	$13068$	$[8, 2, w^3 - 2 w^2 - 4 w + 3]$	$8$	$[2, 2, 2, 2]$	$1$		✓
8.2-a	4.4.13068.1	$4$	$13068$	$[8, 4, w^3 - w^2 - 5 w + 1]$	$8$	$[2, 2, 2, 2]$	$2$		✓
8.2-b	4.4.13068.1	$4$	$13068$	$[8, 4, w^3 - w^2 - 5 w + 1]$	$8$	$[2, 2, 2, 2]$	$2$		✓
9.1-a	4.4.13068.1	$4$	$13068$	$[9, 3, -w^2 + 2 w + 2]$	$9$	$[2, 2, 2, 2]$	$2$
9.1-b	4.4.13068.1	$4$	$13068$	$[9, 3, -w^2 + 2 w + 2]$	$9$	$[2, 2, 2, 2]$	$2$		✓
9.1-c	4.4.13068.1	$4$	$13068$	$[9, 3, -w^2 + 2 w + 2]$	$9$	$[2, 2, 2, 2]$	$6$		✓
12.1-a	4.4.13068.1	$4$	$13068$	$[12, 6, -2 w^3 + 3 w^2 + 11 w - 3]$	$12$	$[2, 2, 2, 2]$	$1$		✓
12.1-b	4.4.13068.1	$4$	$13068$	$[12, 6, -2 w^3 + 3 w^2 + 11 w - 3]$	$12$	$[2, 2, 2, 2]$	$1$
12.1-c	4.4.13068.1	$4$	$13068$	$[12, 6, -2 w^3 + 3 w^2 + 11 w - 3]$	$12$	$[2, 2, 2, 2]$	$1$
12.1-d	4.4.13068.1	$4$	$13068$	$[12, 6, -2 w^3 + 3 w^2 + 11 w - 3]$	$12$	$[2, 2, 2, 2]$	$1$
12.1-e	4.4.13068.1	$4$	$13068$	$[12, 6, -2 w^3 + 3 w^2 + 11 w - 3]$	$12$	$[2, 2, 2, 2]$	$1$
12.1-f	4.4.13068.1	$4$	$13068$	$[12, 6, -2 w^3 + 3 w^2 + 11 w - 3]$	$12$	$[2, 2, 2, 2]$	$1$		✓
12.1-g	4.4.13068.1	$4$	$13068$	$[12, 6, -2 w^3 + 3 w^2 + 11 w - 3]$	$12$	$[2, 2, 2, 2]$	$2$
12.1-h	4.4.13068.1	$4$	$13068$	$[12, 6, -2 w^3 + 3 w^2 + 11 w - 3]$	$12$	$[2, 2, 2, 2]$	$2$
12.1-i	4.4.13068.1	$4$	$13068$	$[12, 6, -2 w^3 + 3 w^2 + 11 w - 3]$	$12$	$[2, 2, 2, 2]$	$4$
12.2-a	4.4.13068.1	$4$	$13068$	$[12, 6, -w^3 + w^2 + 5 w + 1]$	$12$	$[2, 2, 2, 2]$	$2$		✓
12.2-b	4.4.13068.1	$4$	$13068$	$[12, 6, -w^3 + w^2 + 5 w + 1]$	$12$	$[2, 2, 2, 2]$	$2$		✓
16.1-a	4.4.13068.1	$4$	$13068$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$6$
16.2-a	4.4.13068.1	$4$	$13068$	$[16, 4, -w^2 + 3]$	$16$	$[2, 2, 2, 2]$	$1$	✓	✓
16.2-b	4.4.13068.1	$4$	$13068$	$[16, 4, -w^2 + 3]$	$16$	$[2, 2, 2, 2]$	$1$		✓
16.2-c	4.4.13068.1	$4$	$13068$	$[16, 4, -w^2 + 3]$	$16$	$[2, 2, 2, 2]$	$1$	✓	✓
16.2-d	4.4.13068.1	$4$	$13068$	$[16, 4, -w^2 + 3]$	$16$	$[2, 2, 2, 2]$	$1$		✓
16.2-e	4.4.13068.1	$4$	$13068$	$[16, 4, -w^2 + 3]$	$16$	$[2, 2, 2, 2]$	$2$
16.2-f	4.4.13068.1	$4$	$13068$	$[16, 4, -w^2 + 3]$	$16$	$[2, 2, 2, 2]$	$2$	✓	✓
16.2-g	4.4.13068.1	$4$	$13068$	$[16, 4, -w^2 + 3]$	$16$	$[2, 2, 2, 2]$	$2$
16.2-h	4.4.13068.1	$4$	$13068$	$[16, 4, -w^2 + 3]$	$16$	$[2, 2, 2, 2]$	$4$
16.3-a	4.4.13068.1	$4$	$13068$	$[16, 4, 3 w^3 - 5 w^2 - 15 w + 6]$	$16$	$[2, 2, 2, 2]$	$1$	✓	✓
16.3-b	4.4.13068.1	$4$	$13068$	$[16, 4, 3 w^3 - 5 w^2 - 15 w + 6]$	$16$	$[2, 2, 2, 2]$	$2$
16.3-c	4.4.13068.1	$4$	$13068$	$[16, 4, 3 w^3 - 5 w^2 - 15 w + 6]$	$16$	$[2, 2, 2, 2]$	$6$		✓
16.3-d	4.4.13068.1	$4$	$13068$	$[16, 4, 3 w^3 - 5 w^2 - 15 w + 6]$	$16$	$[2, 2, 2, 2]$	$8$
16.3-e	4.4.13068.1	$4$	$13068$	$[16, 4, 3 w^3 - 5 w^2 - 15 w + 6]$	$16$	$[2, 2, 2, 2]$	$8$
17.1-a	4.4.13068.1	$4$	$13068$	$[17, 17, -w^3 + w^2 + 6 w - 1]$	$17$	$[2, 2, 2, 2]$	$1$
17.1-b	4.4.13068.1	$4$	$13068$	$[17, 17, -w^3 + w^2 + 6 w - 1]$	$17$	$[2, 2, 2, 2]$	$1$
17.1-c	4.4.13068.1	$4$	$13068$	$[17, 17, -w^3 + w^2 + 6 w - 1]$	$17$	$[2, 2, 2, 2]$	$2$
17.1-d	4.4.13068.1	$4$	$13068$	$[17, 17, -w^3 + w^2 + 6 w - 1]$	$17$	$[2, 2, 2, 2]$	$2$
17.1-e	4.4.13068.1	$4$	$13068$	$[17, 17, -w^3 + w^2 + 6 w - 1]$	$17$	$[2, 2, 2, 2]$	$9$
17.1-f	4.4.13068.1	$4$	$13068$	$[17, 17, -w^3 + w^2 + 6 w - 1]$	$17$	$[2, 2, 2, 2]$	$9$

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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.