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 (46 matches)

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	CM	Base change
1.1-a	$\Q(\sqrt{86}) $	$2$	$344$	$[1, 1, 1]$	$1$	$[2, 2]$	$1$	✓	✓
1.1-b	$\Q(\sqrt{86}) $	$2$	$344$	$[1, 1, 1]$	$1$	$[2, 2]$	$20$		✓
2.1-a	$\Q(\sqrt{86}) $	$2$	$344$	$[2, 2, -11w + 102]$	$2$	$[2, 2]$	$4$
2.1-b	$\Q(\sqrt{86}) $	$2$	$344$	$[2, 2, -11w + 102]$	$2$	$[2, 2]$	$4$
4.1-a	$\Q(\sqrt{86}) $	$2$	$344$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$	✓
4.1-b	$\Q(\sqrt{86}) $	$2$	$344$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-c	$\Q(\sqrt{86}) $	$2$	$344$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
5.1-a	$\Q(\sqrt{86}) $	$2$	$344$	$[5, 5, w - 9]$	$5$	$[2, 2]$	$23$
5.1-b	$\Q(\sqrt{86}) $	$2$	$344$	$[5, 5, w - 9]$	$5$	$[2, 2]$	$23$
5.2-a	$\Q(\sqrt{86}) $	$2$	$344$	$[5,5,-w - 9]$	$5$	$[2, 2]$	$23$
5.2-b	$\Q(\sqrt{86}) $	$2$	$344$	$[5,5,-w - 9]$	$5$	$[2, 2]$	$23$
7.1-a	$\Q(\sqrt{86}) $	$2$	$344$	$[7, 7, 4w - 37]$	$7$	$[2, 2]$	$31$
7.1-b	$\Q(\sqrt{86}) $	$2$	$344$	$[7, 7, 4w - 37]$	$7$	$[2, 2]$	$31$
7.2-a	$\Q(\sqrt{86}) $	$2$	$344$	$[7,7,-4w - 37]$	$7$	$[2, 2]$	$31$
7.2-b	$\Q(\sqrt{86}) $	$2$	$344$	$[7,7,-4w - 37]$	$7$	$[2, 2]$	$31$
8.1-a	$\Q(\sqrt{86}) $	$2$	$344$	$[8, 4, -22w + 204]$	$8$	$[2, 2]$	$18$
8.1-b	$\Q(\sqrt{86}) $	$2$	$344$	$[8, 4, -22w + 204]$	$8$	$[2, 2]$	$18$
9.1-a	$\Q(\sqrt{86}) $	$2$	$344$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$
9.1-b	$\Q(\sqrt{86}) $	$2$	$344$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$
9.1-c	$\Q(\sqrt{86}) $	$2$	$344$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$
9.1-d	$\Q(\sqrt{86}) $	$2$	$344$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$
9.1-e	$\Q(\sqrt{86}) $	$2$	$344$	$[9, 3, 3]$	$9$	$[2, 2]$	$20$
9.1-f	$\Q(\sqrt{86}) $	$2$	$344$	$[9, 3, 3]$	$9$	$[2, 2]$	$36$
9.1-g	$\Q(\sqrt{86}) $	$2$	$344$	$[9, 3, 3]$	$9$	$[2, 2]$	$44$		✓
10.1-a	$\Q(\sqrt{86}) $	$2$	$344$	$[10, 10, 3w - 28]$	$10$	$[2, 2]$	$1$
10.1-b	$\Q(\sqrt{86}) $	$2$	$344$	$[10, 10, 3w - 28]$	$10$	$[2, 2]$	$1$
10.1-c	$\Q(\sqrt{86}) $	$2$	$344$	$[10, 10, 3w - 28]$	$10$	$[2, 2]$	$4$
10.1-d	$\Q(\sqrt{86}) $	$2$	$344$	$[10, 10, 3w - 28]$	$10$	$[2, 2]$	$4$
10.1-e	$\Q(\sqrt{86}) $	$2$	$344$	$[10, 10, 3w - 28]$	$10$	$[2, 2]$	$7$
10.1-f	$\Q(\sqrt{86}) $	$2$	$344$	$[10, 10, 3w - 28]$	$10$	$[2, 2]$	$7$
10.1-g	$\Q(\sqrt{86}) $	$2$	$344$	$[10, 10, 3w - 28]$	$10$	$[2, 2]$	$16$
10.1-h	$\Q(\sqrt{86}) $	$2$	$344$	$[10, 10, 3w - 28]$	$10$	$[2, 2]$	$16$
10.2-a	$\Q(\sqrt{86}) $	$2$	$344$	$[10,10,-3w - 28]$	$10$	$[2, 2]$	$1$
10.2-b	$\Q(\sqrt{86}) $	$2$	$344$	$[10,10,-3w - 28]$	$10$	$[2, 2]$	$1$
10.2-c	$\Q(\sqrt{86}) $	$2$	$344$	$[10,10,-3w - 28]$	$10$	$[2, 2]$	$4$
10.2-d	$\Q(\sqrt{86}) $	$2$	$344$	$[10,10,-3w - 28]$	$10$	$[2, 2]$	$4$
10.2-e	$\Q(\sqrt{86}) $	$2$	$344$	$[10,10,-3w - 28]$	$10$	$[2, 2]$	$7$
10.2-f	$\Q(\sqrt{86}) $	$2$	$344$	$[10,10,-3w - 28]$	$10$	$[2, 2]$	$7$
10.2-g	$\Q(\sqrt{86}) $	$2$	$344$	$[10,10,-3w - 28]$	$10$	$[2, 2]$	$16$
10.2-h	$\Q(\sqrt{86}) $	$2$	$344$	$[10,10,-3w - 28]$	$10$	$[2, 2]$	$16$
11.1-a	$\Q(\sqrt{86}) $	$2$	$344$	$[11, 11, 7w + 65]$	$11$	$[2, 2]$	$2$
11.1-b	$\Q(\sqrt{86}) $	$2$	$344$	$[11, 11, 7w + 65]$	$11$	$[2, 2]$	$52$
11.1-c	$\Q(\sqrt{86}) $	$2$	$344$	$[11, 11, 7w + 65]$	$11$	$[2, 2]$	$62$
11.2-a	$\Q(\sqrt{86}) $	$2$	$344$	$[11,11,-7w + 65]$	$11$	$[2, 2]$	$2$
11.2-b	$\Q(\sqrt{86}) $	$2$	$344$	$[11,11,-7w + 65]$	$11$	$[2, 2]$	$52$
11.2-c	$\Q(\sqrt{86}) $	$2$	$344$	$[11,11,-7w + 65]$	$11$	$[2, 2]$	$62$

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Results (46 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	CM	Base change
1.1-a	\(\Q(\sqrt{86}) \)	$2$	$344$	$[1, 1, 1]$	$1$	$[2, 2]$	$1$	✓	✓
1.1-b	\(\Q(\sqrt{86}) \)	$2$	$344$	$[1, 1, 1]$	$1$	$[2, 2]$	$20$		✓
2.1-a	\(\Q(\sqrt{86}) \)	$2$	$344$	$[2, 2, -11w + 102]$	$2$	$[2, 2]$	$4$
2.1-b	\(\Q(\sqrt{86}) \)	$2$	$344$	$[2, 2, -11w + 102]$	$2$	$[2, 2]$	$4$
4.1-a	\(\Q(\sqrt{86}) \)	$2$	$344$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$	✓
4.1-b	\(\Q(\sqrt{86}) \)	$2$	$344$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-c	\(\Q(\sqrt{86}) \)	$2$	$344$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
5.1-a	\(\Q(\sqrt{86}) \)	$2$	$344$	$[5, 5, w - 9]$	$5$	$[2, 2]$	$23$
5.1-b	\(\Q(\sqrt{86}) \)	$2$	$344$	$[5, 5, w - 9]$	$5$	$[2, 2]$	$23$
5.2-a	\(\Q(\sqrt{86}) \)	$2$	$344$	$[5,5,-w - 9]$	$5$	$[2, 2]$	$23$
5.2-b	\(\Q(\sqrt{86}) \)	$2$	$344$	$[5,5,-w - 9]$	$5$	$[2, 2]$	$23$
7.1-a	\(\Q(\sqrt{86}) \)	$2$	$344$	$[7, 7, 4w - 37]$	$7$	$[2, 2]$	$31$
7.1-b	\(\Q(\sqrt{86}) \)	$2$	$344$	$[7, 7, 4w - 37]$	$7$	$[2, 2]$	$31$
7.2-a	\(\Q(\sqrt{86}) \)	$2$	$344$	$[7,7,-4w - 37]$	$7$	$[2, 2]$	$31$
7.2-b	\(\Q(\sqrt{86}) \)	$2$	$344$	$[7,7,-4w - 37]$	$7$	$[2, 2]$	$31$
8.1-a	\(\Q(\sqrt{86}) \)	$2$	$344$	$[8, 4, -22w + 204]$	$8$	$[2, 2]$	$18$
8.1-b	\(\Q(\sqrt{86}) \)	$2$	$344$	$[8, 4, -22w + 204]$	$8$	$[2, 2]$	$18$
9.1-a	\(\Q(\sqrt{86}) \)	$2$	$344$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$
9.1-b	\(\Q(\sqrt{86}) \)	$2$	$344$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$
9.1-c	\(\Q(\sqrt{86}) \)	$2$	$344$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$
9.1-d	\(\Q(\sqrt{86}) \)	$2$	$344$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$
9.1-e	\(\Q(\sqrt{86}) \)	$2$	$344$	$[9, 3, 3]$	$9$	$[2, 2]$	$20$
9.1-f	\(\Q(\sqrt{86}) \)	$2$	$344$	$[9, 3, 3]$	$9$	$[2, 2]$	$36$
9.1-g	\(\Q(\sqrt{86}) \)	$2$	$344$	$[9, 3, 3]$	$9$	$[2, 2]$	$44$		✓
10.1-a	\(\Q(\sqrt{86}) \)	$2$	$344$	$[10, 10, 3w - 28]$	$10$	$[2, 2]$	$1$
10.1-b	\(\Q(\sqrt{86}) \)	$2$	$344$	$[10, 10, 3w - 28]$	$10$	$[2, 2]$	$1$
10.1-c	\(\Q(\sqrt{86}) \)	$2$	$344$	$[10, 10, 3w - 28]$	$10$	$[2, 2]$	$4$
10.1-d	\(\Q(\sqrt{86}) \)	$2$	$344$	$[10, 10, 3w - 28]$	$10$	$[2, 2]$	$4$
10.1-e	\(\Q(\sqrt{86}) \)	$2$	$344$	$[10, 10, 3w - 28]$	$10$	$[2, 2]$	$7$
10.1-f	\(\Q(\sqrt{86}) \)	$2$	$344$	$[10, 10, 3w - 28]$	$10$	$[2, 2]$	$7$
10.1-g	\(\Q(\sqrt{86}) \)	$2$	$344$	$[10, 10, 3w - 28]$	$10$	$[2, 2]$	$16$
10.1-h	\(\Q(\sqrt{86}) \)	$2$	$344$	$[10, 10, 3w - 28]$	$10$	$[2, 2]$	$16$
10.2-a	\(\Q(\sqrt{86}) \)	$2$	$344$	$[10,10,-3w - 28]$	$10$	$[2, 2]$	$1$
10.2-b	\(\Q(\sqrt{86}) \)	$2$	$344$	$[10,10,-3w - 28]$	$10$	$[2, 2]$	$1$
10.2-c	\(\Q(\sqrt{86}) \)	$2$	$344$	$[10,10,-3w - 28]$	$10$	$[2, 2]$	$4$
10.2-d	\(\Q(\sqrt{86}) \)	$2$	$344$	$[10,10,-3w - 28]$	$10$	$[2, 2]$	$4$
10.2-e	\(\Q(\sqrt{86}) \)	$2$	$344$	$[10,10,-3w - 28]$	$10$	$[2, 2]$	$7$
10.2-f	\(\Q(\sqrt{86}) \)	$2$	$344$	$[10,10,-3w - 28]$	$10$	$[2, 2]$	$7$
10.2-g	\(\Q(\sqrt{86}) \)	$2$	$344$	$[10,10,-3w - 28]$	$10$	$[2, 2]$	$16$
10.2-h	\(\Q(\sqrt{86}) \)	$2$	$344$	$[10,10,-3w - 28]$	$10$	$[2, 2]$	$16$
11.1-a	\(\Q(\sqrt{86}) \)	$2$	$344$	$[11, 11, 7w + 65]$	$11$	$[2, 2]$	$2$
11.1-b	\(\Q(\sqrt{86}) \)	$2$	$344$	$[11, 11, 7w + 65]$	$11$	$[2, 2]$	$52$
11.1-c	\(\Q(\sqrt{86}) \)	$2$	$344$	$[11, 11, 7w + 65]$	$11$	$[2, 2]$	$62$
11.2-a	\(\Q(\sqrt{86}) \)	$2$	$344$	$[11,11,-7w + 65]$	$11$	$[2, 2]$	$2$
11.2-b	\(\Q(\sqrt{86}) \)	$2$	$344$	$[11,11,-7w + 65]$	$11$	$[2, 2]$	$52$
11.2-c	\(\Q(\sqrt{86}) \)	$2$	$344$	$[11,11,-7w + 65]$	$11$	$[2, 2]$	$62$