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 482 matches)

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	Base change
1.1-a	4.4.8525.1	$4$	$8525$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$2$	✓
1.1-b	4.4.8525.1	$4$	$8525$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$2$	✓
5.1-a	4.4.8525.1	$4$	$8525$	$[5, 5, w + 1]$	$5$	$[2, 2, 2, 2]$	$1$
5.1-b	4.4.8525.1	$4$	$8525$	$[5, 5, w + 1]$	$5$	$[2, 2, 2, 2]$	$1$
5.2-a	4.4.8525.1	$4$	$8525$	$[5,5,-w + 2]$	$5$	$[2, 2, 2, 2]$	$1$
5.2-b	4.4.8525.1	$4$	$8525$	$[5,5,-w + 2]$	$5$	$[2, 2, 2, 2]$	$1$
11.1-a	4.4.8525.1	$4$	$8525$	$[11, 11, w^2 - 2 w - 4]$	$11$	$[2, 2, 2, 2]$	$3$
11.1-b	4.4.8525.1	$4$	$8525$	$[11, 11, w^2 - 2 w - 4]$	$11$	$[2, 2, 2, 2]$	$3$
11.2-a	4.4.8525.1	$4$	$8525$	$[11, 11, -w^2 + 3]$	$11$	$[2, 2, 2, 2]$	$2$
11.2-b	4.4.8525.1	$4$	$8525$	$[11, 11, -w^2 + 3]$	$11$	$[2, 2, 2, 2]$	$4$
11.3-a	4.4.8525.1	$4$	$8525$	$[11,11,w^2 - 5]$	$11$	$[2, 2, 2, 2]$	$3$
11.3-b	4.4.8525.1	$4$	$8525$	$[11,11,w^2 - 5]$	$11$	$[2, 2, 2, 2]$	$3$
16.1-a	4.4.8525.1	$4$	$8525$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$
16.1-b	4.4.8525.1	$4$	$8525$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$4$	✓
16.1-c	4.4.8525.1	$4$	$8525$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$4$	✓
19.1-a	4.4.8525.1	$4$	$8525$	$[19, 19, -w]$	$19$	$[2, 2, 2, 2]$	$5$
19.1-b	4.4.8525.1	$4$	$8525$	$[19, 19, -w]$	$19$	$[2, 2, 2, 2]$	$5$
19.2-a	4.4.8525.1	$4$	$8525$	$[19,19,w - 1]$	$19$	$[2, 2, 2, 2]$	$5$
19.2-b	4.4.8525.1	$4$	$8525$	$[19,19,w - 1]$	$19$	$[2, 2, 2, 2]$	$5$
25.1-a	4.4.8525.1	$4$	$8525$	$[25, 5, -2 w^2 + w + 8]$	$25$	$[2, 2, 2, 2]$	$1$
25.1-b	4.4.8525.1	$4$	$8525$	$[25, 5, -2 w^2 + w + 8]$	$25$	$[2, 2, 2, 2]$	$1$
25.1-c	4.4.8525.1	$4$	$8525$	$[25, 5, -2 w^2 + w + 8]$	$25$	$[2, 2, 2, 2]$	$1$
25.1-d	4.4.8525.1	$4$	$8525$	$[25, 5, -2 w^2 + w + 8]$	$25$	$[2, 2, 2, 2]$	$1$
25.1-e	4.4.8525.1	$4$	$8525$	$[25, 5, -2 w^2 + w + 8]$	$25$	$[2, 2, 2, 2]$	$1$
25.1-f	4.4.8525.1	$4$	$8525$	$[25, 5, -2 w^2 + w + 8]$	$25$	$[2, 2, 2, 2]$	$1$
25.1-g	4.4.8525.1	$4$	$8525$	$[25, 5, -2 w^2 + w + 8]$	$25$	$[2, 2, 2, 2]$	$2$
25.1-h	4.4.8525.1	$4$	$8525$	$[25, 5, -2 w^2 + w + 8]$	$25$	$[2, 2, 2, 2]$	$2$
25.2-a	4.4.8525.1	$4$	$8525$	$[25, 5, 2 w^2 - 2 w - 9]$	$25$	$[2, 2, 2, 2]$	$1$
25.2-b	4.4.8525.1	$4$	$8525$	$[25, 5, 2 w^2 - 2 w - 9]$	$25$	$[2, 2, 2, 2]$	$1$
25.2-c	4.4.8525.1	$4$	$8525$	$[25, 5, 2 w^2 - 2 w - 9]$	$25$	$[2, 2, 2, 2]$	$2$	✓
25.2-d	4.4.8525.1	$4$	$8525$	$[25, 5, 2 w^2 - 2 w - 9]$	$25$	$[2, 2, 2, 2]$	$2$	✓
25.2-e	4.4.8525.1	$4$	$8525$	$[25, 5, 2 w^2 - 2 w - 9]$	$25$	$[2, 2, 2, 2]$	$4$	✓
25.2-f	4.4.8525.1	$4$	$8525$	$[25, 5, 2 w^2 - 2 w - 9]$	$25$	$[2, 2, 2, 2]$	$4$	✓
25.3-a	4.4.8525.1	$4$	$8525$	$[25,5,-2 w^2 + 3 w + 7]$	$25$	$[2, 2, 2, 2]$	$1$
25.3-b	4.4.8525.1	$4$	$8525$	$[25,5,-2 w^2 + 3 w + 7]$	$25$	$[2, 2, 2, 2]$	$1$
25.3-c	4.4.8525.1	$4$	$8525$	$[25,5,-2 w^2 + 3 w + 7]$	$25$	$[2, 2, 2, 2]$	$1$
25.3-d	4.4.8525.1	$4$	$8525$	$[25,5,-2 w^2 + 3 w + 7]$	$25$	$[2, 2, 2, 2]$	$1$
25.3-e	4.4.8525.1	$4$	$8525$	$[25,5,-2 w^2 + 3 w + 7]$	$25$	$[2, 2, 2, 2]$	$1$
25.3-f	4.4.8525.1	$4$	$8525$	$[25,5,-2 w^2 + 3 w + 7]$	$25$	$[2, 2, 2, 2]$	$1$
25.3-g	4.4.8525.1	$4$	$8525$	$[25,5,-2 w^2 + 3 w + 7]$	$25$	$[2, 2, 2, 2]$	$2$
25.3-h	4.4.8525.1	$4$	$8525$	$[25,5,-2 w^2 + 3 w + 7]$	$25$	$[2, 2, 2, 2]$	$2$
31.1-a	4.4.8525.1	$4$	$8525$	$[31, 31, -w^3 + 3 w^2 + 2 w - 9]$	$31$	$[2, 2, 2, 2]$	$11$
31.1-b	4.4.8525.1	$4$	$8525$	$[31, 31, -w^3 + 3 w^2 + 2 w - 9]$	$31$	$[2, 2, 2, 2]$	$11$
31.2-a	4.4.8525.1	$4$	$8525$	$[31, 31, -w^2 + 2 w + 7]$	$31$	$[2, 2, 2, 2]$	$1$	✓
31.2-b	4.4.8525.1	$4$	$8525$	$[31, 31, -w^2 + 2 w + 7]$	$31$	$[2, 2, 2, 2]$	$1$	✓
31.2-c	4.4.8525.1	$4$	$8525$	$[31, 31, -w^2 + 2 w + 7]$	$31$	$[2, 2, 2, 2]$	$8$
31.2-d	4.4.8525.1	$4$	$8525$	$[31, 31, -w^2 + 2 w + 7]$	$31$	$[2, 2, 2, 2]$	$8$
31.3-a	4.4.8525.1	$4$	$8525$	$[31,31,w^3 - 5 w - 5]$	$31$	$[2, 2, 2, 2]$	$11$
31.3-b	4.4.8525.1	$4$	$8525$	$[31,31,w^3 - 5 w - 5]$	$31$	$[2, 2, 2, 2]$	$11$
41.1-a	4.4.8525.1	$4$	$8525$	$[41, 41, -w^3 + 2 w^2 + 4 w - 2]$	$41$	$[2, 2, 2, 2]$	$1$

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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.