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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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	CM	Base change
1.1-a	4.4.6125.1	$4$	$6125$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$2$		✓
11.1-a	4.4.6125.1	$4$	$6125$	$[11, 11, 2 w^3 + 3 w^2 - 12 w - 11]$	$11$	$[2, 2, 2, 2]$	$4$
11.2-a	4.4.6125.1	$4$	$6125$	$[11,11,-w^3 - 2 w^2 + 6 w + 9]$	$11$	$[2, 2, 2, 2]$	$4$
11.3-a	4.4.6125.1	$4$	$6125$	$[11,11,-w^3 - w^2 + 7 w + 4]$	$11$	$[2, 2, 2, 2]$	$4$
11.4-a	4.4.6125.1	$4$	$6125$	$[11,11,-w + 1]$	$11$	$[2, 2, 2, 2]$	$4$
16.1-a	4.4.6125.1	$4$	$6125$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$		✓
16.1-b	4.4.6125.1	$4$	$6125$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$		✓
16.1-c	4.4.6125.1	$4$	$6125$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$4$		✓
19.1-a	4.4.6125.1	$4$	$6125$	$[19, 19, -w^2 + 4]$	$19$	$[2, 2, 2, 2]$	$2$
19.1-b	4.4.6125.1	$4$	$6125$	$[19, 19, -w^2 + 4]$	$19$	$[2, 2, 2, 2]$	$2$
19.2-a	4.4.6125.1	$4$	$6125$	$[19,19,-2 w^3 - 2 w^2 + 13 w + 6]$	$19$	$[2, 2, 2, 2]$	$2$
19.2-b	4.4.6125.1	$4$	$6125$	$[19,19,-2 w^3 - 2 w^2 + 13 w + 6]$	$19$	$[2, 2, 2, 2]$	$2$
19.3-a	4.4.6125.1	$4$	$6125$	$[19,19,3 w^3 + 4 w^2 - 18 w - 16]$	$19$	$[2, 2, 2, 2]$	$2$
19.3-b	4.4.6125.1	$4$	$6125$	$[19,19,3 w^3 + 4 w^2 - 18 w - 16]$	$19$	$[2, 2, 2, 2]$	$2$
19.4-a	4.4.6125.1	$4$	$6125$	$[19,19,-w^3 - w^2 + 5 w + 3]$	$19$	$[2, 2, 2, 2]$	$2$
19.4-b	4.4.6125.1	$4$	$6125$	$[19,19,-w^3 - w^2 + 5 w + 3]$	$19$	$[2, 2, 2, 2]$	$2$
25.1-a	4.4.6125.1	$4$	$6125$	$[25, 5, -2 w^3 - 2 w^2 + 12 w + 7]$	$25$	$[2, 2, 2, 2]$	$1$		✓
25.1-b	4.4.6125.1	$4$	$6125$	$[25, 5, -2 w^3 - 2 w^2 + 12 w + 7]$	$25$	$[2, 2, 2, 2]$	$1$	✓	✓
25.1-c	4.4.6125.1	$4$	$6125$	$[25, 5, -2 w^3 - 2 w^2 + 12 w + 7]$	$25$	$[2, 2, 2, 2]$	$1$	✓	✓
25.1-d	4.4.6125.1	$4$	$6125$	$[25, 5, -2 w^3 - 2 w^2 + 12 w + 7]$	$25$	$[2, 2, 2, 2]$	$1$		✓
25.1-e	4.4.6125.1	$4$	$6125$	$[25, 5, -2 w^3 - 2 w^2 + 12 w + 7]$	$25$	$[2, 2, 2, 2]$	$2$	✓	✓
25.1-f	4.4.6125.1	$4$	$6125$	$[25, 5, -2 w^3 - 2 w^2 + 12 w + 7]$	$25$	$[2, 2, 2, 2]$	$2$	✓	✓
25.1-g	4.4.6125.1	$4$	$6125$	$[25, 5, -2 w^3 - 2 w^2 + 12 w + 7]$	$25$	$[2, 2, 2, 2]$	$4$
49.1-a	4.4.6125.1	$4$	$6125$	$[49, 7, 2 w^3 + 3 w^2 - 13 w - 15]$	$49$	$[2, 2, 2, 2]$	$1$		✓
49.1-b	4.4.6125.1	$4$	$6125$	$[49, 7, 2 w^3 + 3 w^2 - 13 w - 15]$	$49$	$[2, 2, 2, 2]$	$1$		✓
49.1-c	4.4.6125.1	$4$	$6125$	$[49, 7, 2 w^3 + 3 w^2 - 13 w - 15]$	$49$	$[2, 2, 2, 2]$	$4$
49.1-d	4.4.6125.1	$4$	$6125$	$[49, 7, 2 w^3 + 3 w^2 - 13 w - 15]$	$49$	$[2, 2, 2, 2]$	$4$
49.1-e	4.4.6125.1	$4$	$6125$	$[49, 7, 2 w^3 + 3 w^2 - 13 w - 15]$	$49$	$[2, 2, 2, 2]$	$4$
49.1-f	4.4.6125.1	$4$	$6125$	$[49, 7, 2 w^3 + 3 w^2 - 13 w - 15]$	$49$	$[2, 2, 2, 2]$	$4$
55.1-a	4.4.6125.1	$4$	$6125$	$[55, 55, -w^3 - 2 w^2 + 5 w + 11]$	$55$	$[2, 2, 2, 2]$	$4$
55.1-b	4.4.6125.1	$4$	$6125$	$[55, 55, -w^3 - 2 w^2 + 5 w + 11]$	$55$	$[2, 2, 2, 2]$	$4$
55.1-c	4.4.6125.1	$4$	$6125$	$[55, 55, -w^3 - 2 w^2 + 5 w + 11]$	$55$	$[2, 2, 2, 2]$	$5$
55.1-d	4.4.6125.1	$4$	$6125$	$[55, 55, -w^3 - 2 w^2 + 5 w + 11]$	$55$	$[2, 2, 2, 2]$	$5$
55.2-a	4.4.6125.1	$4$	$6125$	$[55,55,-2 w^3 - 3 w^2 + 13 w + 14]$	$55$	$[2, 2, 2, 2]$	$4$
55.2-b	4.4.6125.1	$4$	$6125$	$[55,55,-2 w^3 - 3 w^2 + 13 w + 14]$	$55$	$[2, 2, 2, 2]$	$4$
55.2-c	4.4.6125.1	$4$	$6125$	$[55,55,-2 w^3 - 3 w^2 + 13 w + 14]$	$55$	$[2, 2, 2, 2]$	$5$
55.2-d	4.4.6125.1	$4$	$6125$	$[55,55,-2 w^3 - 3 w^2 + 13 w + 14]$	$55$	$[2, 2, 2, 2]$	$5$
55.3-a	4.4.6125.1	$4$	$6125$	$[55,55,w^3 + 2 w^2 - 5 w - 6]$	$55$	$[2, 2, 2, 2]$	$4$
55.3-b	4.4.6125.1	$4$	$6125$	$[55,55,w^3 + 2 w^2 - 5 w - 6]$	$55$	$[2, 2, 2, 2]$	$4$
55.3-c	4.4.6125.1	$4$	$6125$	$[55,55,w^3 + 2 w^2 - 5 w - 6]$	$55$	$[2, 2, 2, 2]$	$5$
55.3-d	4.4.6125.1	$4$	$6125$	$[55,55,w^3 + 2 w^2 - 5 w - 6]$	$55$	$[2, 2, 2, 2]$	$5$
55.4-a	4.4.6125.1	$4$	$6125$	$[55,55,2 w^3 + 3 w^2 - 13 w - 9]$	$55$	$[2, 2, 2, 2]$	$4$
55.4-b	4.4.6125.1	$4$	$6125$	$[55,55,2 w^3 + 3 w^2 - 13 w - 9]$	$55$	$[2, 2, 2, 2]$	$4$
55.4-c	4.4.6125.1	$4$	$6125$	$[55,55,2 w^3 + 3 w^2 - 13 w - 9]$	$55$	$[2, 2, 2, 2]$	$5$
55.4-d	4.4.6125.1	$4$	$6125$	$[55,55,2 w^3 + 3 w^2 - 13 w - 9]$	$55$	$[2, 2, 2, 2]$	$5$
59.1-a	4.4.6125.1	$4$	$6125$	$[59, 59, -3 w^3 - 4 w^2 + 19 w + 14]$	$59$	$[2, 2, 2, 2]$	$1$
59.1-b	4.4.6125.1	$4$	$6125$	$[59, 59, -3 w^3 - 4 w^2 + 19 w + 14]$	$59$	$[2, 2, 2, 2]$	$1$
59.1-c	4.4.6125.1	$4$	$6125$	$[59, 59, -3 w^3 - 4 w^2 + 19 w + 14]$	$59$	$[2, 2, 2, 2]$	$1$
59.1-d	4.4.6125.1	$4$	$6125$	$[59, 59, -3 w^3 - 4 w^2 + 19 w + 14]$	$59$	$[2, 2, 2, 2]$	$1$
59.1-e	4.4.6125.1	$4$	$6125$	$[59, 59, -3 w^3 - 4 w^2 + 19 w + 14]$	$59$	$[2, 2, 2, 2]$	$8$

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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.