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 (48 matches)

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	Base change
1.1-a	$\Q(\sqrt{353}) $	$2$	$353$	$[1, 1, 1]$	$1$	$[2, 2]$	$2$
1.1-b	$\Q(\sqrt{353}) $	$2$	$353$	$[1, 1, 1]$	$1$	$[2, 2]$	$2$
1.1-c	$\Q(\sqrt{353}) $	$2$	$353$	$[1, 1, 1]$	$1$	$[2, 2]$	$14$	✓
2.1-a	$\Q(\sqrt{353}) $	$2$	$353$	$[2, 2, -w + 10]$	$2$	$[2, 2]$	$1$
2.1-b	$\Q(\sqrt{353}) $	$2$	$353$	$[2, 2, -w + 10]$	$2$	$[2, 2]$	$2$
2.1-c	$\Q(\sqrt{353}) $	$2$	$353$	$[2, 2, -w + 10]$	$2$	$[2, 2]$	$5$
2.1-d	$\Q(\sqrt{353}) $	$2$	$353$	$[2, 2, -w + 10]$	$2$	$[2, 2]$	$5$
2.2-a	$\Q(\sqrt{353}) $	$2$	$353$	$[2,2,w + 9]$	$2$	$[2, 2]$	$1$
2.2-b	$\Q(\sqrt{353}) $	$2$	$353$	$[2,2,w + 9]$	$2$	$[2, 2]$	$2$
2.2-c	$\Q(\sqrt{353}) $	$2$	$353$	$[2,2,w + 9]$	$2$	$[2, 2]$	$5$
2.2-d	$\Q(\sqrt{353}) $	$2$	$353$	$[2,2,w + 9]$	$2$	$[2, 2]$	$5$
4.1-a	$\Q(\sqrt{353}) $	$2$	$353$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-b	$\Q(\sqrt{353}) $	$2$	$353$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$	✓
4.1-c	$\Q(\sqrt{353}) $	$2$	$353$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$	✓
4.1-d	$\Q(\sqrt{353}) $	$2$	$353$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-e	$\Q(\sqrt{353}) $	$2$	$353$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$
4.1-f	$\Q(\sqrt{353}) $	$2$	$353$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$
4.1-g	$\Q(\sqrt{353}) $	$2$	$353$	$[4, 2, 2]$	$4$	$[2, 2]$	$6$	✓
4.1-h	$\Q(\sqrt{353}) $	$2$	$353$	$[4, 2, 2]$	$4$	$[2, 2]$	$7$	✓
4.2-a	$\Q(\sqrt{353}) $	$2$	$353$	$[4, 4, -19w + 188]$	$4$	$[2, 2]$	$15$
4.3-a	$\Q(\sqrt{353}) $	$2$	$353$	$[4,4,19w + 169]$	$4$	$[2, 2]$	$15$
8.1-a	$\Q(\sqrt{353}) $	$2$	$353$	$[8, 4, -2w + 20]$	$8$	$[2, 2]$	$1$
8.1-b	$\Q(\sqrt{353}) $	$2$	$353$	$[8, 4, -2w + 20]$	$8$	$[2, 2]$	$1$
8.1-c	$\Q(\sqrt{353}) $	$2$	$353$	$[8, 4, -2w + 20]$	$8$	$[2, 2]$	$2$
8.1-d	$\Q(\sqrt{353}) $	$2$	$353$	$[8, 4, -2w + 20]$	$8$	$[2, 2]$	$4$
8.1-e	$\Q(\sqrt{353}) $	$2$	$353$	$[8, 4, -2w + 20]$	$8$	$[2, 2]$	$8$
8.2-a	$\Q(\sqrt{353}) $	$2$	$353$	$[8,4,2w + 18]$	$8$	$[2, 2]$	$1$
8.2-b	$\Q(\sqrt{353}) $	$2$	$353$	$[8,4,2w + 18]$	$8$	$[2, 2]$	$1$
8.2-c	$\Q(\sqrt{353}) $	$2$	$353$	$[8,4,2w + 18]$	$8$	$[2, 2]$	$2$
8.2-d	$\Q(\sqrt{353}) $	$2$	$353$	$[8,4,2w + 18]$	$8$	$[2, 2]$	$4$
8.2-e	$\Q(\sqrt{353}) $	$2$	$353$	$[8,4,2w + 18]$	$8$	$[2, 2]$	$8$
8.3-a	$\Q(\sqrt{353}) $	$2$	$353$	$[8, 8, 9w + 80]$	$8$	$[2, 2]$	$3$
8.3-b	$\Q(\sqrt{353}) $	$2$	$353$	$[8, 8, 9w + 80]$	$8$	$[2, 2]$	$5$
8.3-c	$\Q(\sqrt{353}) $	$2$	$353$	$[8, 8, 9w + 80]$	$8$	$[2, 2]$	$18$
8.3-d	$\Q(\sqrt{353}) $	$2$	$353$	$[8, 8, 9w + 80]$	$8$	$[2, 2]$	$24$
8.4-a	$\Q(\sqrt{353}) $	$2$	$353$	$[8,8,-9w + 89]$	$8$	$[2, 2]$	$3$
8.4-b	$\Q(\sqrt{353}) $	$2$	$353$	$[8,8,-9w + 89]$	$8$	$[2, 2]$	$5$
8.4-c	$\Q(\sqrt{353}) $	$2$	$353$	$[8,8,-9w + 89]$	$8$	$[2, 2]$	$18$
8.4-d	$\Q(\sqrt{353}) $	$2$	$353$	$[8,8,-9w + 89]$	$8$	$[2, 2]$	$24$
9.1-a	$\Q(\sqrt{353}) $	$2$	$353$	$[9, 3, 3]$	$9$	$[2, 2]$	$30$	✓
9.1-b	$\Q(\sqrt{353}) $	$2$	$353$	$[9, 3, 3]$	$9$	$[2, 2]$	$38$
9.1-c	$\Q(\sqrt{353}) $	$2$	$353$	$[9, 3, 3]$	$9$	$[2, 2]$	$60$
11.1-a	$\Q(\sqrt{353}) $	$2$	$353$	$[11, 11, -10w + 99]$	$11$	$[2, 2]$	$1$
11.1-b	$\Q(\sqrt{353}) $	$2$	$353$	$[11, 11, -10w + 99]$	$11$	$[2, 2]$	$74$
11.1-c	$\Q(\sqrt{353}) $	$2$	$353$	$[11, 11, -10w + 99]$	$11$	$[2, 2]$	$80$
11.2-a	$\Q(\sqrt{353}) $	$2$	$353$	$[11,11,10w + 89]$	$11$	$[2, 2]$	$1$
11.2-b	$\Q(\sqrt{353}) $	$2$	$353$	$[11,11,10w + 89]$	$11$	$[2, 2]$	$74$
11.2-c	$\Q(\sqrt{353}) $	$2$	$353$	$[11,11,10w + 89]$	$11$	$[2, 2]$	$80$

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Results (48 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	\(\Q(\sqrt{353}) \)	$2$	$353$	$[1, 1, 1]$	$1$	$[2, 2]$	$2$
1.1-b	\(\Q(\sqrt{353}) \)	$2$	$353$	$[1, 1, 1]$	$1$	$[2, 2]$	$2$
1.1-c	\(\Q(\sqrt{353}) \)	$2$	$353$	$[1, 1, 1]$	$1$	$[2, 2]$	$14$	✓
2.1-a	\(\Q(\sqrt{353}) \)	$2$	$353$	$[2, 2, -w + 10]$	$2$	$[2, 2]$	$1$
2.1-b	\(\Q(\sqrt{353}) \)	$2$	$353$	$[2, 2, -w + 10]$	$2$	$[2, 2]$	$2$
2.1-c	\(\Q(\sqrt{353}) \)	$2$	$353$	$[2, 2, -w + 10]$	$2$	$[2, 2]$	$5$
2.1-d	\(\Q(\sqrt{353}) \)	$2$	$353$	$[2, 2, -w + 10]$	$2$	$[2, 2]$	$5$
2.2-a	\(\Q(\sqrt{353}) \)	$2$	$353$	$[2,2,w + 9]$	$2$	$[2, 2]$	$1$
2.2-b	\(\Q(\sqrt{353}) \)	$2$	$353$	$[2,2,w + 9]$	$2$	$[2, 2]$	$2$
2.2-c	\(\Q(\sqrt{353}) \)	$2$	$353$	$[2,2,w + 9]$	$2$	$[2, 2]$	$5$
2.2-d	\(\Q(\sqrt{353}) \)	$2$	$353$	$[2,2,w + 9]$	$2$	$[2, 2]$	$5$
4.1-a	\(\Q(\sqrt{353}) \)	$2$	$353$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-b	\(\Q(\sqrt{353}) \)	$2$	$353$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$	✓
4.1-c	\(\Q(\sqrt{353}) \)	$2$	$353$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$	✓
4.1-d	\(\Q(\sqrt{353}) \)	$2$	$353$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-e	\(\Q(\sqrt{353}) \)	$2$	$353$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$
4.1-f	\(\Q(\sqrt{353}) \)	$2$	$353$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$
4.1-g	\(\Q(\sqrt{353}) \)	$2$	$353$	$[4, 2, 2]$	$4$	$[2, 2]$	$6$	✓
4.1-h	\(\Q(\sqrt{353}) \)	$2$	$353$	$[4, 2, 2]$	$4$	$[2, 2]$	$7$	✓
4.2-a	\(\Q(\sqrt{353}) \)	$2$	$353$	$[4, 4, -19w + 188]$	$4$	$[2, 2]$	$15$
4.3-a	\(\Q(\sqrt{353}) \)	$2$	$353$	$[4,4,19w + 169]$	$4$	$[2, 2]$	$15$
8.1-a	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8, 4, -2w + 20]$	$8$	$[2, 2]$	$1$
8.1-b	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8, 4, -2w + 20]$	$8$	$[2, 2]$	$1$
8.1-c	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8, 4, -2w + 20]$	$8$	$[2, 2]$	$2$
8.1-d	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8, 4, -2w + 20]$	$8$	$[2, 2]$	$4$
8.1-e	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8, 4, -2w + 20]$	$8$	$[2, 2]$	$8$
8.2-a	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8,4,2w + 18]$	$8$	$[2, 2]$	$1$
8.2-b	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8,4,2w + 18]$	$8$	$[2, 2]$	$1$
8.2-c	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8,4,2w + 18]$	$8$	$[2, 2]$	$2$
8.2-d	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8,4,2w + 18]$	$8$	$[2, 2]$	$4$
8.2-e	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8,4,2w + 18]$	$8$	$[2, 2]$	$8$
8.3-a	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8, 8, 9w + 80]$	$8$	$[2, 2]$	$3$
8.3-b	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8, 8, 9w + 80]$	$8$	$[2, 2]$	$5$
8.3-c	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8, 8, 9w + 80]$	$8$	$[2, 2]$	$18$
8.3-d	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8, 8, 9w + 80]$	$8$	$[2, 2]$	$24$
8.4-a	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8,8,-9w + 89]$	$8$	$[2, 2]$	$3$
8.4-b	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8,8,-9w + 89]$	$8$	$[2, 2]$	$5$
8.4-c	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8,8,-9w + 89]$	$8$	$[2, 2]$	$18$
8.4-d	\(\Q(\sqrt{353}) \)	$2$	$353$	$[8,8,-9w + 89]$	$8$	$[2, 2]$	$24$
9.1-a	\(\Q(\sqrt{353}) \)	$2$	$353$	$[9, 3, 3]$	$9$	$[2, 2]$	$30$	✓
9.1-b	\(\Q(\sqrt{353}) \)	$2$	$353$	$[9, 3, 3]$	$9$	$[2, 2]$	$38$
9.1-c	\(\Q(\sqrt{353}) \)	$2$	$353$	$[9, 3, 3]$	$9$	$[2, 2]$	$60$
11.1-a	\(\Q(\sqrt{353}) \)	$2$	$353$	$[11, 11, -10w + 99]$	$11$	$[2, 2]$	$1$
11.1-b	\(\Q(\sqrt{353}) \)	$2$	$353$	$[11, 11, -10w + 99]$	$11$	$[2, 2]$	$74$
11.1-c	\(\Q(\sqrt{353}) \)	$2$	$353$	$[11, 11, -10w + 99]$	$11$	$[2, 2]$	$80$
11.2-a	\(\Q(\sqrt{353}) \)	$2$	$353$	$[11,11,10w + 89]$	$11$	$[2, 2]$	$1$
11.2-b	\(\Q(\sqrt{353}) \)	$2$	$353$	$[11,11,10w + 89]$	$11$	$[2, 2]$	$74$
11.2-c	\(\Q(\sqrt{353}) \)	$2$	$353$	$[11,11,10w + 89]$	$11$	$[2, 2]$	$80$