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 105 matches)

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	Base change
1.1-a	4.4.17725.1	$4$	$17725$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$6$	✓
9.1-a	4.4.17725.1	$4$	$17725$	$[9, 3, -w^3 + 3 w^2 + 5 w - 15]$	$9$	$[2, 2, 2, 2]$	$5$
9.1-b	4.4.17725.1	$4$	$17725$	$[9, 3, -w^3 + 3 w^2 + 5 w - 15]$	$9$	$[2, 2, 2, 2]$	$8$
9.2-a	4.4.17725.1	$4$	$17725$	$[9,3,w^3 - 8 w - 8]$	$9$	$[2, 2, 2, 2]$	$5$
9.2-b	4.4.17725.1	$4$	$17725$	$[9,3,w^3 - 8 w - 8]$	$9$	$[2, 2, 2, 2]$	$8$
16.1-a	4.4.17725.1	$4$	$17725$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$
16.1-b	4.4.17725.1	$4$	$17725$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$
16.1-c	4.4.17725.1	$4$	$17725$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$
16.1-d	4.4.17725.1	$4$	$17725$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$
16.1-e	4.4.17725.1	$4$	$17725$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$
16.1-f	4.4.17725.1	$4$	$17725$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$6$
16.1-g	4.4.17725.1	$4$	$17725$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$18$	✓
19.1-a	4.4.17725.1	$4$	$17725$	$[19, 19, w + 1]$	$19$	$[2, 2, 2, 2]$	$1$
19.1-b	4.4.17725.1	$4$	$17725$	$[19, 19, w + 1]$	$19$	$[2, 2, 2, 2]$	$1$
19.1-c	4.4.17725.1	$4$	$17725$	$[19, 19, w + 1]$	$19$	$[2, 2, 2, 2]$	$2$
19.1-d	4.4.17725.1	$4$	$17725$	$[19, 19, w + 1]$	$19$	$[2, 2, 2, 2]$	$3$
19.1-e	4.4.17725.1	$4$	$17725$	$[19, 19, w + 1]$	$19$	$[2, 2, 2, 2]$	$6$
19.1-f	4.4.17725.1	$4$	$17725$	$[19, 19, w + 1]$	$19$	$[2, 2, 2, 2]$	$7$
19.1-g	4.4.17725.1	$4$	$17725$	$[19, 19, w + 1]$	$19$	$[2, 2, 2, 2]$	$12$
19.2-a	4.4.17725.1	$4$	$17725$	$[19, 19, -w^2 + 6]$	$19$	$[2, 2, 2, 2]$	$1$
19.2-b	4.4.17725.1	$4$	$17725$	$[19, 19, -w^2 + 6]$	$19$	$[2, 2, 2, 2]$	$12$
19.2-c	4.4.17725.1	$4$	$17725$	$[19, 19, -w^2 + 6]$	$19$	$[2, 2, 2, 2]$	$19$
19.3-a	4.4.17725.1	$4$	$17725$	$[19,19,-w^2 + 2 w + 5]$	$19$	$[2, 2, 2, 2]$	$1$
19.3-b	4.4.17725.1	$4$	$17725$	$[19,19,-w^2 + 2 w + 5]$	$19$	$[2, 2, 2, 2]$	$12$
19.3-c	4.4.17725.1	$4$	$17725$	$[19,19,-w^2 + 2 w + 5]$	$19$	$[2, 2, 2, 2]$	$19$
19.4-a	4.4.17725.1	$4$	$17725$	$[19,19,-w + 2]$	$19$	$[2, 2, 2, 2]$	$1$
19.4-b	4.4.17725.1	$4$	$17725$	$[19,19,-w + 2]$	$19$	$[2, 2, 2, 2]$	$1$
19.4-c	4.4.17725.1	$4$	$17725$	$[19,19,-w + 2]$	$19$	$[2, 2, 2, 2]$	$2$
19.4-d	4.4.17725.1	$4$	$17725$	$[19,19,-w + 2]$	$19$	$[2, 2, 2, 2]$	$3$
19.4-e	4.4.17725.1	$4$	$17725$	$[19,19,-w + 2]$	$19$	$[2, 2, 2, 2]$	$6$
19.4-f	4.4.17725.1	$4$	$17725$	$[19,19,-w + 2]$	$19$	$[2, 2, 2, 2]$	$7$
19.4-g	4.4.17725.1	$4$	$17725$	$[19,19,-w + 2]$	$19$	$[2, 2, 2, 2]$	$12$
25.1-a	4.4.17725.1	$4$	$17725$	$[25, 5, 2 w^2 - 2 w - 13]$	$25$	$[2, 2, 2, 2]$	$2$
25.1-b	4.4.17725.1	$4$	$17725$	$[25, 5, 2 w^2 - 2 w - 13]$	$25$	$[2, 2, 2, 2]$	$4$
25.1-c	4.4.17725.1	$4$	$17725$	$[25, 5, 2 w^2 - 2 w - 13]$	$25$	$[2, 2, 2, 2]$	$4$
25.1-d	4.4.17725.1	$4$	$17725$	$[25, 5, 2 w^2 - 2 w - 13]$	$25$	$[2, 2, 2, 2]$	$16$
25.1-e	4.4.17725.1	$4$	$17725$	$[25, 5, 2 w^2 - 2 w - 13]$	$25$	$[2, 2, 2, 2]$	$23$	✓
29.1-a	4.4.17725.1	$4$	$17725$	$[29, 29, -w^2 + 9]$	$29$	$[2, 2, 2, 2]$	$23$
29.1-b	4.4.17725.1	$4$	$17725$	$[29, 29, -w^2 + 9]$	$29$	$[2, 2, 2, 2]$	$29$
29.2-a	4.4.17725.1	$4$	$17725$	$[29, 29, -w^2 + 2 w + 6]$	$29$	$[2, 2, 2, 2]$	$22$
29.2-b	4.4.17725.1	$4$	$17725$	$[29, 29, -w^2 + 2 w + 6]$	$29$	$[2, 2, 2, 2]$	$30$
29.3-a	4.4.17725.1	$4$	$17725$	$[29,29,-w^2 + 7]$	$29$	$[2, 2, 2, 2]$	$22$
29.3-b	4.4.17725.1	$4$	$17725$	$[29,29,-w^2 + 7]$	$29$	$[2, 2, 2, 2]$	$30$
29.4-a	4.4.17725.1	$4$	$17725$	$[29,29,-w^2 + 2 w + 8]$	$29$	$[2, 2, 2, 2]$	$23$
29.4-b	4.4.17725.1	$4$	$17725$	$[29,29,-w^2 + 2 w + 8]$	$29$	$[2, 2, 2, 2]$	$29$
31.1-a	4.4.17725.1	$4$	$17725$	$[31, 31, -2 w^2 + w + 12]$	$31$	$[2, 2, 2, 2]$	$26$
31.1-b	4.4.17725.1	$4$	$17725$	$[31, 31, -2 w^2 + w + 12]$	$31$	$[2, 2, 2, 2]$	$33$
31.2-a	4.4.17725.1	$4$	$17725$	$[31,31,-2 w^2 + 3 w + 11]$	$31$	$[2, 2, 2, 2]$	$26$
31.2-b	4.4.17725.1	$4$	$17725$	$[31,31,-2 w^2 + 3 w + 11]$	$31$	$[2, 2, 2, 2]$	$33$
41.1-a	4.4.17725.1	$4$	$17725$	$[41, 41, -w]$	$41$	$[2, 2, 2, 2]$	$1$

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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.