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 360 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{165}) $	$2$	$165$	$[1, 1, 1]$	$1$	$[2, 2]$	$1$	✓	✓
1.1-b	$\Q(\sqrt{165}) $	$2$	$165$	$[1, 1, 1]$	$1$	$[2, 2]$	$1$	✓	✓
1.1-c	$\Q(\sqrt{165}) $	$2$	$165$	$[1, 1, 1]$	$1$	$[2, 2]$	$2$	✓	✓
1.1-d	$\Q(\sqrt{165}) $	$2$	$165$	$[1, 1, 1]$	$1$	$[2, 2]$	$4$	✓
1.1-e	$\Q(\sqrt{165}) $	$2$	$165$	$[1, 1, 1]$	$1$	$[2, 2]$	$8$		✓
3.1-a	$\Q(\sqrt{165}) $	$2$	$165$	$[3, 3, w + 1]$	$3$	$[2, 2]$	$2$
3.1-b	$\Q(\sqrt{165}) $	$2$	$165$	$[3, 3, w + 1]$	$3$	$[2, 2]$	$2$
3.1-c	$\Q(\sqrt{165}) $	$2$	$165$	$[3, 3, w + 1]$	$3$	$[2, 2]$	$2$
3.1-d	$\Q(\sqrt{165}) $	$2$	$165$	$[3, 3, w + 1]$	$3$	$[2, 2]$	$2$
3.1-e	$\Q(\sqrt{165}) $	$2$	$165$	$[3, 3, w + 1]$	$3$	$[2, 2]$	$4$
4.1-a	$\Q(\sqrt{165}) $	$2$	$165$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$		✓
4.1-b	$\Q(\sqrt{165}) $	$2$	$165$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$		✓
4.1-c	$\Q(\sqrt{165}) $	$2$	$165$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-d	$\Q(\sqrt{165}) $	$2$	$165$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-e	$\Q(\sqrt{165}) $	$2$	$165$	$[4, 2, 2]$	$4$	$[2, 2]$	$12$		✓
5.1-a	$\Q(\sqrt{165}) $	$2$	$165$	$[5, 5, w + 2]$	$5$	$[2, 2]$	$2$
5.1-b	$\Q(\sqrt{165}) $	$2$	$165$	$[5, 5, w + 2]$	$5$	$[2, 2]$	$2$
5.1-c	$\Q(\sqrt{165}) $	$2$	$165$	$[5, 5, w + 2]$	$5$	$[2, 2]$	$8$		✓
5.1-d	$\Q(\sqrt{165}) $	$2$	$165$	$[5, 5, w + 2]$	$5$	$[2, 2]$	$8$		✓
7.1-a	$\Q(\sqrt{165}) $	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$1$
7.1-b	$\Q(\sqrt{165}) $	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$1$
7.1-c	$\Q(\sqrt{165}) $	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$1$
7.1-d	$\Q(\sqrt{165}) $	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$1$
7.1-e	$\Q(\sqrt{165}) $	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$2$
7.1-f	$\Q(\sqrt{165}) $	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$2$
7.1-g	$\Q(\sqrt{165}) $	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$4$
7.1-h	$\Q(\sqrt{165}) $	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$8$
7.1-i	$\Q(\sqrt{165}) $	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$8$
7.1-j	$\Q(\sqrt{165}) $	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$8$
7.2-a	$\Q(\sqrt{165}) $	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$1$
7.2-b	$\Q(\sqrt{165}) $	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$1$
7.2-c	$\Q(\sqrt{165}) $	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$1$
7.2-d	$\Q(\sqrt{165}) $	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$1$
7.2-e	$\Q(\sqrt{165}) $	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$2$
7.2-f	$\Q(\sqrt{165}) $	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$2$
7.2-g	$\Q(\sqrt{165}) $	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$4$
7.2-h	$\Q(\sqrt{165}) $	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$8$
7.2-i	$\Q(\sqrt{165}) $	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$8$
7.2-j	$\Q(\sqrt{165}) $	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$8$
9.1-a	$\Q(\sqrt{165}) $	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$
9.1-b	$\Q(\sqrt{165}) $	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$		✓
9.1-c	$\Q(\sqrt{165}) $	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$	✓
9.1-d	$\Q(\sqrt{165}) $	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$		✓
9.1-e	$\Q(\sqrt{165}) $	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$	✓	✓
9.1-f	$\Q(\sqrt{165}) $	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$
9.1-g	$\Q(\sqrt{165}) $	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$4$	✓
9.1-h	$\Q(\sqrt{165}) $	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$4$		✓
9.1-i	$\Q(\sqrt{165}) $	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$8$	✓	✓
9.1-j	$\Q(\sqrt{165}) $	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$8$
11.1-a	$\Q(\sqrt{165}) $	$2$	$165$	$[11, 11, w + 5]$	$11$	$[2, 2]$	$1$		✓

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Results (1-50 of 360 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	\(\Q(\sqrt{165}) \)	$2$	$165$	$[1, 1, 1]$	$1$	$[2, 2]$	$1$	✓	✓
1.1-b	\(\Q(\sqrt{165}) \)	$2$	$165$	$[1, 1, 1]$	$1$	$[2, 2]$	$1$	✓	✓
1.1-c	\(\Q(\sqrt{165}) \)	$2$	$165$	$[1, 1, 1]$	$1$	$[2, 2]$	$2$	✓	✓
1.1-d	\(\Q(\sqrt{165}) \)	$2$	$165$	$[1, 1, 1]$	$1$	$[2, 2]$	$4$	✓
1.1-e	\(\Q(\sqrt{165}) \)	$2$	$165$	$[1, 1, 1]$	$1$	$[2, 2]$	$8$		✓
3.1-a	\(\Q(\sqrt{165}) \)	$2$	$165$	$[3, 3, w + 1]$	$3$	$[2, 2]$	$2$
3.1-b	\(\Q(\sqrt{165}) \)	$2$	$165$	$[3, 3, w + 1]$	$3$	$[2, 2]$	$2$
3.1-c	\(\Q(\sqrt{165}) \)	$2$	$165$	$[3, 3, w + 1]$	$3$	$[2, 2]$	$2$
3.1-d	\(\Q(\sqrt{165}) \)	$2$	$165$	$[3, 3, w + 1]$	$3$	$[2, 2]$	$2$
3.1-e	\(\Q(\sqrt{165}) \)	$2$	$165$	$[3, 3, w + 1]$	$3$	$[2, 2]$	$4$
4.1-a	\(\Q(\sqrt{165}) \)	$2$	$165$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$		✓
4.1-b	\(\Q(\sqrt{165}) \)	$2$	$165$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$		✓
4.1-c	\(\Q(\sqrt{165}) \)	$2$	$165$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-d	\(\Q(\sqrt{165}) \)	$2$	$165$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-e	\(\Q(\sqrt{165}) \)	$2$	$165$	$[4, 2, 2]$	$4$	$[2, 2]$	$12$		✓
5.1-a	\(\Q(\sqrt{165}) \)	$2$	$165$	$[5, 5, w + 2]$	$5$	$[2, 2]$	$2$
5.1-b	\(\Q(\sqrt{165}) \)	$2$	$165$	$[5, 5, w + 2]$	$5$	$[2, 2]$	$2$
5.1-c	\(\Q(\sqrt{165}) \)	$2$	$165$	$[5, 5, w + 2]$	$5$	$[2, 2]$	$8$		✓
5.1-d	\(\Q(\sqrt{165}) \)	$2$	$165$	$[5, 5, w + 2]$	$5$	$[2, 2]$	$8$		✓
7.1-a	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$1$
7.1-b	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$1$
7.1-c	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$1$
7.1-d	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$1$
7.1-e	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$2$
7.1-f	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$2$
7.1-g	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$4$
7.1-h	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$8$
7.1-i	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$8$
7.1-j	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7, 7, w + 2]$	$7$	$[2, 2]$	$8$
7.2-a	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$1$
7.2-b	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$1$
7.2-c	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$1$
7.2-d	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$1$
7.2-e	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$2$
7.2-f	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$2$
7.2-g	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$4$
7.2-h	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$8$
7.2-i	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$8$
7.2-j	\(\Q(\sqrt{165}) \)	$2$	$165$	$[7,7,-w + 3]$	$7$	$[2, 2]$	$8$
9.1-a	\(\Q(\sqrt{165}) \)	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$
9.1-b	\(\Q(\sqrt{165}) \)	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$		✓
9.1-c	\(\Q(\sqrt{165}) \)	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$	✓
9.1-d	\(\Q(\sqrt{165}) \)	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$		✓
9.1-e	\(\Q(\sqrt{165}) \)	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$	✓	✓
9.1-f	\(\Q(\sqrt{165}) \)	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$
9.1-g	\(\Q(\sqrt{165}) \)	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$4$	✓
9.1-h	\(\Q(\sqrt{165}) \)	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$4$		✓
9.1-i	\(\Q(\sqrt{165}) \)	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$8$	✓	✓
9.1-j	\(\Q(\sqrt{165}) \)	$2$	$165$	$[9, 3, 3]$	$9$	$[2, 2]$	$8$
11.1-a	\(\Q(\sqrt{165}) \)	$2$	$165$	$[11, 11, w + 5]$	$11$	$[2, 2]$	$1$		✓