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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Results (1-50 of 224 matches)

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	Base change
1.1-a	$\Q(\sqrt{157}) $	$2$	$157$	$[1, 1, 1]$	$1$	$[2, 2]$	$1$	✓
1.1-b	$\Q(\sqrt{157}) $	$2$	$157$	$[1, 1, 1]$	$1$	$[2, 2]$	$5$	✓
3.1-a	$\Q(\sqrt{157}) $	$2$	$157$	$[3, 3, w + 6]$	$3$	$[2, 2]$	$2$
3.1-b	$\Q(\sqrt{157}) $	$2$	$157$	$[3, 3, w + 6]$	$3$	$[2, 2]$	$2$
3.2-a	$\Q(\sqrt{157}) $	$2$	$157$	$[3,3,-w + 7]$	$3$	$[2, 2]$	$2$
3.2-b	$\Q(\sqrt{157}) $	$2$	$157$	$[3,3,-w + 7]$	$3$	$[2, 2]$	$2$
4.1-a	$\Q(\sqrt{157}) $	$2$	$157$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$
4.1-b	$\Q(\sqrt{157}) $	$2$	$157$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$
4.1-c	$\Q(\sqrt{157}) $	$2$	$157$	$[4, 2, 2]$	$4$	$[2, 2]$	$7$	✓
9.1-a	$\Q(\sqrt{157}) $	$2$	$157$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$
9.1-b	$\Q(\sqrt{157}) $	$2$	$157$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$
9.1-c	$\Q(\sqrt{157}) $	$2$	$157$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$
9.1-d	$\Q(\sqrt{157}) $	$2$	$157$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$
9.1-e	$\Q(\sqrt{157}) $	$2$	$157$	$[9, 3, 3]$	$9$	$[2, 2]$	$6$	✓
9.1-f	$\Q(\sqrt{157}) $	$2$	$157$	$[9, 3, 3]$	$9$	$[2, 2]$	$7$	✓
9.2-a	$\Q(\sqrt{157}) $	$2$	$157$	$[9, 9, -w + 6]$	$9$	$[2, 2]$	$1$
9.2-b	$\Q(\sqrt{157}) $	$2$	$157$	$[9, 9, -w + 6]$	$9$	$[2, 2]$	$2$
9.2-c	$\Q(\sqrt{157}) $	$2$	$157$	$[9, 9, -w + 6]$	$9$	$[2, 2]$	$2$
9.2-d	$\Q(\sqrt{157}) $	$2$	$157$	$[9, 9, -w + 6]$	$9$	$[2, 2]$	$5$
9.2-e	$\Q(\sqrt{157}) $	$2$	$157$	$[9, 9, -w + 6]$	$9$	$[2, 2]$	$6$
9.3-a	$\Q(\sqrt{157}) $	$2$	$157$	$[9,9,w + 5]$	$9$	$[2, 2]$	$1$
9.3-b	$\Q(\sqrt{157}) $	$2$	$157$	$[9,9,w + 5]$	$9$	$[2, 2]$	$2$
9.3-c	$\Q(\sqrt{157}) $	$2$	$157$	$[9,9,w + 5]$	$9$	$[2, 2]$	$2$
9.3-d	$\Q(\sqrt{157}) $	$2$	$157$	$[9,9,w + 5]$	$9$	$[2, 2]$	$5$
9.3-e	$\Q(\sqrt{157}) $	$2$	$157$	$[9,9,w + 5]$	$9$	$[2, 2]$	$6$
11.1-a	$\Q(\sqrt{157}) $	$2$	$157$	$[11, 11, -3w - 17]$	$11$	$[2, 2]$	$13$
11.1-b	$\Q(\sqrt{157}) $	$2$	$157$	$[11, 11, -3w - 17]$	$11$	$[2, 2]$	$17$
11.2-a	$\Q(\sqrt{157}) $	$2$	$157$	$[11,11,3w - 20]$	$11$	$[2, 2]$	$13$
11.2-b	$\Q(\sqrt{157}) $	$2$	$157$	$[11,11,3w - 20]$	$11$	$[2, 2]$	$17$
12.1-a	$\Q(\sqrt{157}) $	$2$	$157$	$[12, 6, 2w + 12]$	$12$	$[2, 2]$	$1$
12.1-b	$\Q(\sqrt{157}) $	$2$	$157$	$[12, 6, 2w + 12]$	$12$	$[2, 2]$	$1$
12.1-c	$\Q(\sqrt{157}) $	$2$	$157$	$[12, 6, 2w + 12]$	$12$	$[2, 2]$	$1$
12.1-d	$\Q(\sqrt{157}) $	$2$	$157$	$[12, 6, 2w + 12]$	$12$	$[2, 2]$	$2$
12.1-e	$\Q(\sqrt{157}) $	$2$	$157$	$[12, 6, 2w + 12]$	$12$	$[2, 2]$	$2$
12.1-f	$\Q(\sqrt{157}) $	$2$	$157$	$[12, 6, 2w + 12]$	$12$	$[2, 2]$	$3$
12.1-g	$\Q(\sqrt{157}) $	$2$	$157$	$[12, 6, 2w + 12]$	$12$	$[2, 2]$	$6$
12.1-h	$\Q(\sqrt{157}) $	$2$	$157$	$[12, 6, 2w + 12]$	$12$	$[2, 2]$	$6$
12.2-a	$\Q(\sqrt{157}) $	$2$	$157$	$[12,6,-2w + 14]$	$12$	$[2, 2]$	$1$
12.2-b	$\Q(\sqrt{157}) $	$2$	$157$	$[12,6,-2w + 14]$	$12$	$[2, 2]$	$1$
12.2-c	$\Q(\sqrt{157}) $	$2$	$157$	$[12,6,-2w + 14]$	$12$	$[2, 2]$	$1$
12.2-d	$\Q(\sqrt{157}) $	$2$	$157$	$[12,6,-2w + 14]$	$12$	$[2, 2]$	$2$
12.2-e	$\Q(\sqrt{157}) $	$2$	$157$	$[12,6,-2w + 14]$	$12$	$[2, 2]$	$2$
12.2-f	$\Q(\sqrt{157}) $	$2$	$157$	$[12,6,-2w + 14]$	$12$	$[2, 2]$	$3$
12.2-g	$\Q(\sqrt{157}) $	$2$	$157$	$[12,6,-2w + 14]$	$12$	$[2, 2]$	$6$
12.2-h	$\Q(\sqrt{157}) $	$2$	$157$	$[12,6,-2w + 14]$	$12$	$[2, 2]$	$6$
13.1-a	$\Q(\sqrt{157}) $	$2$	$157$	$[13, 13, 2w - 13]$	$13$	$[2, 2]$	$21$
13.1-b	$\Q(\sqrt{157}) $	$2$	$157$	$[13, 13, 2w - 13]$	$13$	$[2, 2]$	$23$
13.2-a	$\Q(\sqrt{157}) $	$2$	$157$	$[13,13,-2w - 11]$	$13$	$[2, 2]$	$21$
13.2-b	$\Q(\sqrt{157}) $	$2$	$157$	$[13,13,-2w - 11]$	$13$	$[2, 2]$	$23$
16.1-a	$\Q(\sqrt{157}) $	$2$	$157$	$[16, 4, 4]$	$16$	$[2, 2]$	$1$	✓

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Results (1-50 of 224 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	Base change
1.1-a	\(\Q(\sqrt{157}) \)	$2$	$157$	$[1, 1, 1]$	$1$	$[2, 2]$	$1$	✓
1.1-b	\(\Q(\sqrt{157}) \)	$2$	$157$	$[1, 1, 1]$	$1$	$[2, 2]$	$5$	✓
3.1-a	\(\Q(\sqrt{157}) \)	$2$	$157$	$[3, 3, w + 6]$	$3$	$[2, 2]$	$2$
3.1-b	\(\Q(\sqrt{157}) \)	$2$	$157$	$[3, 3, w + 6]$	$3$	$[2, 2]$	$2$
3.2-a	\(\Q(\sqrt{157}) \)	$2$	$157$	$[3,3,-w + 7]$	$3$	$[2, 2]$	$2$
3.2-b	\(\Q(\sqrt{157}) \)	$2$	$157$	$[3,3,-w + 7]$	$3$	$[2, 2]$	$2$
4.1-a	\(\Q(\sqrt{157}) \)	$2$	$157$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$
4.1-b	\(\Q(\sqrt{157}) \)	$2$	$157$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$
4.1-c	\(\Q(\sqrt{157}) \)	$2$	$157$	$[4, 2, 2]$	$4$	$[2, 2]$	$7$	✓
9.1-a	\(\Q(\sqrt{157}) \)	$2$	$157$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$
9.1-b	\(\Q(\sqrt{157}) \)	$2$	$157$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$
9.1-c	\(\Q(\sqrt{157}) \)	$2$	$157$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$
9.1-d	\(\Q(\sqrt{157}) \)	$2$	$157$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$
9.1-e	\(\Q(\sqrt{157}) \)	$2$	$157$	$[9, 3, 3]$	$9$	$[2, 2]$	$6$	✓
9.1-f	\(\Q(\sqrt{157}) \)	$2$	$157$	$[9, 3, 3]$	$9$	$[2, 2]$	$7$	✓
9.2-a	\(\Q(\sqrt{157}) \)	$2$	$157$	$[9, 9, -w + 6]$	$9$	$[2, 2]$	$1$
9.2-b	\(\Q(\sqrt{157}) \)	$2$	$157$	$[9, 9, -w + 6]$	$9$	$[2, 2]$	$2$
9.2-c	\(\Q(\sqrt{157}) \)	$2$	$157$	$[9, 9, -w + 6]$	$9$	$[2, 2]$	$2$
9.2-d	\(\Q(\sqrt{157}) \)	$2$	$157$	$[9, 9, -w + 6]$	$9$	$[2, 2]$	$5$
9.2-e	\(\Q(\sqrt{157}) \)	$2$	$157$	$[9, 9, -w + 6]$	$9$	$[2, 2]$	$6$
9.3-a	\(\Q(\sqrt{157}) \)	$2$	$157$	$[9,9,w + 5]$	$9$	$[2, 2]$	$1$
9.3-b	\(\Q(\sqrt{157}) \)	$2$	$157$	$[9,9,w + 5]$	$9$	$[2, 2]$	$2$
9.3-c	\(\Q(\sqrt{157}) \)	$2$	$157$	$[9,9,w + 5]$	$9$	$[2, 2]$	$2$
9.3-d	\(\Q(\sqrt{157}) \)	$2$	$157$	$[9,9,w + 5]$	$9$	$[2, 2]$	$5$
9.3-e	\(\Q(\sqrt{157}) \)	$2$	$157$	$[9,9,w + 5]$	$9$	$[2, 2]$	$6$
11.1-a	\(\Q(\sqrt{157}) \)	$2$	$157$	$[11, 11, -3w - 17]$	$11$	$[2, 2]$	$13$
11.1-b	\(\Q(\sqrt{157}) \)	$2$	$157$	$[11, 11, -3w - 17]$	$11$	$[2, 2]$	$17$
11.2-a	\(\Q(\sqrt{157}) \)	$2$	$157$	$[11,11,3w - 20]$	$11$	$[2, 2]$	$13$
11.2-b	\(\Q(\sqrt{157}) \)	$2$	$157$	$[11,11,3w - 20]$	$11$	$[2, 2]$	$17$
12.1-a	\(\Q(\sqrt{157}) \)	$2$	$157$	$[12, 6, 2w + 12]$	$12$	$[2, 2]$	$1$
12.1-b	\(\Q(\sqrt{157}) \)	$2$	$157$	$[12, 6, 2w + 12]$	$12$	$[2, 2]$	$1$
12.1-c	\(\Q(\sqrt{157}) \)	$2$	$157$	$[12, 6, 2w + 12]$	$12$	$[2, 2]$	$1$
12.1-d	\(\Q(\sqrt{157}) \)	$2$	$157$	$[12, 6, 2w + 12]$	$12$	$[2, 2]$	$2$
12.1-e	\(\Q(\sqrt{157}) \)	$2$	$157$	$[12, 6, 2w + 12]$	$12$	$[2, 2]$	$2$
12.1-f	\(\Q(\sqrt{157}) \)	$2$	$157$	$[12, 6, 2w + 12]$	$12$	$[2, 2]$	$3$
12.1-g	\(\Q(\sqrt{157}) \)	$2$	$157$	$[12, 6, 2w + 12]$	$12$	$[2, 2]$	$6$
12.1-h	\(\Q(\sqrt{157}) \)	$2$	$157$	$[12, 6, 2w + 12]$	$12$	$[2, 2]$	$6$
12.2-a	\(\Q(\sqrt{157}) \)	$2$	$157$	$[12,6,-2w + 14]$	$12$	$[2, 2]$	$1$
12.2-b	\(\Q(\sqrt{157}) \)	$2$	$157$	$[12,6,-2w + 14]$	$12$	$[2, 2]$	$1$
12.2-c	\(\Q(\sqrt{157}) \)	$2$	$157$	$[12,6,-2w + 14]$	$12$	$[2, 2]$	$1$
12.2-d	\(\Q(\sqrt{157}) \)	$2$	$157$	$[12,6,-2w + 14]$	$12$	$[2, 2]$	$2$
12.2-e	\(\Q(\sqrt{157}) \)	$2$	$157$	$[12,6,-2w + 14]$	$12$	$[2, 2]$	$2$
12.2-f	\(\Q(\sqrt{157}) \)	$2$	$157$	$[12,6,-2w + 14]$	$12$	$[2, 2]$	$3$
12.2-g	\(\Q(\sqrt{157}) \)	$2$	$157$	$[12,6,-2w + 14]$	$12$	$[2, 2]$	$6$
12.2-h	\(\Q(\sqrt{157}) \)	$2$	$157$	$[12,6,-2w + 14]$	$12$	$[2, 2]$	$6$
13.1-a	\(\Q(\sqrt{157}) \)	$2$	$157$	$[13, 13, 2w - 13]$	$13$	$[2, 2]$	$21$
13.1-b	\(\Q(\sqrt{157}) \)	$2$	$157$	$[13, 13, 2w - 13]$	$13$	$[2, 2]$	$23$
13.2-a	\(\Q(\sqrt{157}) \)	$2$	$157$	$[13,13,-2w - 11]$	$13$	$[2, 2]$	$21$
13.2-b	\(\Q(\sqrt{157}) \)	$2$	$157$	$[13,13,-2w - 11]$	$13$	$[2, 2]$	$23$
16.1-a	\(\Q(\sqrt{157}) \)	$2$	$157$	$[16, 4, 4]$	$16$	$[2, 2]$	$1$	✓