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	Base change
1.1-a	4.4.4205.1	$4$	$4205$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$1$	✓
7.1-a	4.4.4205.1	$4$	$4205$	$[7, 7, -w^3 + 2 w^2 + 3 w - 3]$	$7$	$[2, 2, 2, 2]$	$1$
7.2-a	4.4.4205.1	$4$	$4205$	$[7,7,w^3 - 2 w^2 - 3 w]$	$7$	$[2, 2, 2, 2]$	$1$
13.1-a	4.4.4205.1	$4$	$4205$	$[13, 13, -w^2 + w + 3]$	$13$	$[2, 2, 2, 2]$	$1$
13.1-b	4.4.4205.1	$4$	$4205$	$[13, 13, -w^2 + w + 3]$	$13$	$[2, 2, 2, 2]$	$3$
13.2-a	4.4.4205.1	$4$	$4205$	$[13,13,w^2 - w - 2]$	$13$	$[2, 2, 2, 2]$	$1$
13.2-b	4.4.4205.1	$4$	$4205$	$[13,13,w^2 - w - 2]$	$13$	$[2, 2, 2, 2]$	$3$
16.1-a	4.4.4205.1	$4$	$4205$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$	✓
16.1-b	4.4.4205.1	$4$	$4205$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$3$	✓
23.1-a	4.4.4205.1	$4$	$4205$	$[23, 23, -w^2 + 3 w + 1]$	$23$	$[2, 2, 2, 2]$	$1$
23.1-b	4.4.4205.1	$4$	$4205$	$[23, 23, -w^2 + 3 w + 1]$	$23$	$[2, 2, 2, 2]$	$1$
23.1-c	4.4.4205.1	$4$	$4205$	$[23, 23, -w^2 + 3 w + 1]$	$23$	$[2, 2, 2, 2]$	$1$
23.2-a	4.4.4205.1	$4$	$4205$	$[23,23,-2 w^3 + 3 w^2 + 9 w - 2]$	$23$	$[2, 2, 2, 2]$	$1$
23.2-b	4.4.4205.1	$4$	$4205$	$[23,23,-2 w^3 + 3 w^2 + 9 w - 2]$	$23$	$[2, 2, 2, 2]$	$1$
23.2-c	4.4.4205.1	$4$	$4205$	$[23,23,-2 w^3 + 3 w^2 + 9 w - 2]$	$23$	$[2, 2, 2, 2]$	$1$
25.1-a	4.4.4205.1	$4$	$4205$	$[25, 5, w^3 - 2 w^2 - 4 w]$	$25$	$[2, 2, 2, 2]$	$1$	✓
25.1-b	4.4.4205.1	$4$	$4205$	$[25, 5, w^3 - 2 w^2 - 4 w]$	$25$	$[2, 2, 2, 2]$	$2$	✓
25.1-c	4.4.4205.1	$4$	$4205$	$[25, 5, w^3 - 2 w^2 - 4 w]$	$25$	$[2, 2, 2, 2]$	$2$	✓
25.2-a	4.4.4205.1	$4$	$4205$	$[25, 5, w^3 - 2 w^2 - 2 w + 2]$	$25$	$[2, 2, 2, 2]$	$1$
25.2-b	4.4.4205.1	$4$	$4205$	$[25, 5, w^3 - 2 w^2 - 2 w + 2]$	$25$	$[2, 2, 2, 2]$	$1$
25.2-c	4.4.4205.1	$4$	$4205$	$[25, 5, w^3 - 2 w^2 - 2 w + 2]$	$25$	$[2, 2, 2, 2]$	$1$
25.2-d	4.4.4205.1	$4$	$4205$	$[25, 5, w^3 - 2 w^2 - 2 w + 2]$	$25$	$[2, 2, 2, 2]$	$1$
25.2-e	4.4.4205.1	$4$	$4205$	$[25, 5, w^3 - 2 w^2 - 2 w + 2]$	$25$	$[2, 2, 2, 2]$	$3$	✓
35.1-a	4.4.4205.1	$4$	$4205$	$[35, 35, -w^3 + 3 w^2 + w - 3]$	$35$	$[2, 2, 2, 2]$	$1$
35.1-b	4.4.4205.1	$4$	$4205$	$[35, 35, -w^3 + 3 w^2 + w - 3]$	$35$	$[2, 2, 2, 2]$	$1$
35.1-c	4.4.4205.1	$4$	$4205$	$[35, 35, -w^3 + 3 w^2 + w - 3]$	$35$	$[2, 2, 2, 2]$	$3$
35.2-a	4.4.4205.1	$4$	$4205$	$[35,35,2 w^3 - 4 w^2 - 7 w + 4]$	$35$	$[2, 2, 2, 2]$	$1$
35.2-b	4.4.4205.1	$4$	$4205$	$[35,35,2 w^3 - 4 w^2 - 7 w + 4]$	$35$	$[2, 2, 2, 2]$	$1$
35.2-c	4.4.4205.1	$4$	$4205$	$[35,35,2 w^3 - 4 w^2 - 7 w + 4]$	$35$	$[2, 2, 2, 2]$	$3$
49.1-a	4.4.4205.1	$4$	$4205$	$[49, 7, w^3 - w^2 - 6 w - 1]$	$49$	$[2, 2, 2, 2]$	$1$	✓
49.1-b	4.4.4205.1	$4$	$4205$	$[49, 7, w^3 - w^2 - 6 w - 1]$	$49$	$[2, 2, 2, 2]$	$2$
49.1-c	4.4.4205.1	$4$	$4205$	$[49, 7, w^3 - w^2 - 6 w - 1]$	$49$	$[2, 2, 2, 2]$	$4$
49.1-d	4.4.4205.1	$4$	$4205$	$[49, 7, w^3 - w^2 - 6 w - 1]$	$49$	$[2, 2, 2, 2]$	$6$	✓
49.2-a	4.4.4205.1	$4$	$4205$	$[49, 7, -w^3 + w^2 + 6 w]$	$49$	$[2, 2, 2, 2]$	$1$	✓
49.2-b	4.4.4205.1	$4$	$4205$	$[49, 7, -w^3 + w^2 + 6 w]$	$49$	$[2, 2, 2, 2]$	$1$
49.2-c	4.4.4205.1	$4$	$4205$	$[49, 7, -w^3 + w^2 + 6 w]$	$49$	$[2, 2, 2, 2]$	$1$
49.2-d	4.4.4205.1	$4$	$4205$	$[49, 7, -w^3 + w^2 + 6 w]$	$49$	$[2, 2, 2, 2]$	$2$
49.2-e	4.4.4205.1	$4$	$4205$	$[49, 7, -w^3 + w^2 + 6 w]$	$49$	$[2, 2, 2, 2]$	$2$	✓
49.2-f	4.4.4205.1	$4$	$4205$	$[49, 7, -w^3 + w^2 + 6 w]$	$49$	$[2, 2, 2, 2]$	$4$	✓
49.3-a	4.4.4205.1	$4$	$4205$	$[49, 49, -2 w^3 + 3 w^2 + 7 w - 1]$	$49$	$[2, 2, 2, 2]$	$1$
49.3-b	4.4.4205.1	$4$	$4205$	$[49, 49, -2 w^3 + 3 w^2 + 7 w - 1]$	$49$	$[2, 2, 2, 2]$	$1$
49.3-c	4.4.4205.1	$4$	$4205$	$[49, 49, -2 w^3 + 3 w^2 + 7 w - 1]$	$49$	$[2, 2, 2, 2]$	$1$
49.3-d	4.4.4205.1	$4$	$4205$	$[49, 49, -2 w^3 + 3 w^2 + 7 w - 1]$	$49$	$[2, 2, 2, 2]$	$1$
49.3-e	4.4.4205.1	$4$	$4205$	$[49, 49, -2 w^3 + 3 w^2 + 7 w - 1]$	$49$	$[2, 2, 2, 2]$	$6$
49.4-a	4.4.4205.1	$4$	$4205$	$[49,49,2 w^3 - 3 w^2 - 7 w]$	$49$	$[2, 2, 2, 2]$	$1$
49.4-b	4.4.4205.1	$4$	$4205$	$[49,49,2 w^3 - 3 w^2 - 7 w]$	$49$	$[2, 2, 2, 2]$	$1$
49.4-c	4.4.4205.1	$4$	$4205$	$[49,49,2 w^3 - 3 w^2 - 7 w]$	$49$	$[2, 2, 2, 2]$	$1$
49.4-d	4.4.4205.1	$4$	$4205$	$[49,49,2 w^3 - 3 w^2 - 7 w]$	$49$	$[2, 2, 2, 2]$	$1$
49.4-e	4.4.4205.1	$4$	$4205$	$[49,49,2 w^3 - 3 w^2 - 7 w]$	$49$	$[2, 2, 2, 2]$	$6$
53.1-a	4.4.4205.1	$4$	$4205$	$[53, 53, 2 w^3 - 2 w^2 - 8 w - 3]$	$53$	$[2, 2, 2, 2]$	$4$

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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.