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 (40 matches)

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	Base change
1.1-a	$\Q(\sqrt{449}) $	$2$	$449$	$[1, 1, 1]$	$1$	$[2, 2]$	$10$
1.1-b	$\Q(\sqrt{449}) $	$2$	$449$	$[1, 1, 1]$	$1$	$[2, 2]$	$18$	✓
2.1-a	$\Q(\sqrt{449}) $	$2$	$449$	$[2, 2, w + 10]$	$2$	$[2, 2]$	$9$
2.1-b	$\Q(\sqrt{449}) $	$2$	$449$	$[2, 2, w + 10]$	$2$	$[2, 2]$	$13$
2.2-a	$\Q(\sqrt{449}) $	$2$	$449$	$[2,2,-w + 11]$	$2$	$[2, 2]$	$9$
2.2-b	$\Q(\sqrt{449}) $	$2$	$449$	$[2,2,-w + 11]$	$2$	$[2, 2]$	$13$
4.1-a	$\Q(\sqrt{449}) $	$2$	$449$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-b	$\Q(\sqrt{449}) $	$2$	$449$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-c	$\Q(\sqrt{449}) $	$2$	$449$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-d	$\Q(\sqrt{449}) $	$2$	$449$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-e	$\Q(\sqrt{449}) $	$2$	$449$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-f	$\Q(\sqrt{449}) $	$2$	$449$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-g	$\Q(\sqrt{449}) $	$2$	$449$	$[4, 2, 2]$	$4$	$[2, 2]$	$9$	✓
4.1-h	$\Q(\sqrt{449}) $	$2$	$449$	$[4, 2, 2]$	$4$	$[2, 2]$	$10$	✓
4.2-a	$\Q(\sqrt{449}) $	$2$	$449$	$[4, 4, 21w + 212]$	$4$	$[2, 2]$	$24$
4.3-a	$\Q(\sqrt{449}) $	$2$	$449$	$[4,4,-21w + 233]$	$4$	$[2, 2]$	$24$
5.1-a	$\Q(\sqrt{449}) $	$2$	$449$	$[5, 5, -116w - 1171]$	$5$	$[2, 2]$	$2$
5.1-b	$\Q(\sqrt{449}) $	$2$	$449$	$[5, 5, -116w - 1171]$	$5$	$[2, 2]$	$2$
5.1-c	$\Q(\sqrt{449}) $	$2$	$449$	$[5, 5, -116w - 1171]$	$5$	$[2, 2]$	$2$
5.1-d	$\Q(\sqrt{449}) $	$2$	$449$	$[5, 5, -116w - 1171]$	$5$	$[2, 2]$	$39$
5.1-e	$\Q(\sqrt{449}) $	$2$	$449$	$[5, 5, -116w - 1171]$	$5$	$[2, 2]$	$56$
5.2-a	$\Q(\sqrt{449}) $	$2$	$449$	$[5,5,116w - 1287]$	$5$	$[2, 2]$	$2$
5.2-b	$\Q(\sqrt{449}) $	$2$	$449$	$[5,5,116w - 1287]$	$5$	$[2, 2]$	$2$
5.2-c	$\Q(\sqrt{449}) $	$2$	$449$	$[5,5,116w - 1287]$	$5$	$[2, 2]$	$2$
5.2-d	$\Q(\sqrt{449}) $	$2$	$449$	$[5,5,116w - 1287]$	$5$	$[2, 2]$	$39$
5.2-e	$\Q(\sqrt{449}) $	$2$	$449$	$[5,5,116w - 1287]$	$5$	$[2, 2]$	$56$
7.1-a	$\Q(\sqrt{449}) $	$2$	$449$	$[7, 7, -1002w - 10115]$	$7$	$[2, 2]$	$1$
7.1-b	$\Q(\sqrt{449}) $	$2$	$449$	$[7, 7, -1002w - 10115]$	$7$	$[2, 2]$	$71$
7.1-c	$\Q(\sqrt{449}) $	$2$	$449$	$[7, 7, -1002w - 10115]$	$7$	$[2, 2]$	$77$
7.2-a	$\Q(\sqrt{449}) $	$2$	$449$	$[7,7,1002w - 11117]$	$7$	$[2, 2]$	$1$
7.2-b	$\Q(\sqrt{449}) $	$2$	$449$	$[7,7,1002w - 11117]$	$7$	$[2, 2]$	$71$
7.2-c	$\Q(\sqrt{449}) $	$2$	$449$	$[7,7,1002w - 11117]$	$7$	$[2, 2]$	$77$
8.1-a	$\Q(\sqrt{449}) $	$2$	$449$	$[8, 4, 2w + 20]$	$8$	$[2, 2]$	$13$
8.1-b	$\Q(\sqrt{449}) $	$2$	$449$	$[8, 4, 2w + 20]$	$8$	$[2, 2]$	$13$
8.2-a	$\Q(\sqrt{449}) $	$2$	$449$	$[8,4,-2w + 22]$	$8$	$[2, 2]$	$13$
8.2-b	$\Q(\sqrt{449}) $	$2$	$449$	$[8,4,-2w + 22]$	$8$	$[2, 2]$	$13$
8.3-a	$\Q(\sqrt{449}) $	$2$	$449$	$[8, 8, 443w + 4472]$	$8$	$[2, 2]$	$37$
8.3-b	$\Q(\sqrt{449}) $	$2$	$449$	$[8, 8, 443w + 4472]$	$8$	$[2, 2]$	$42$
8.4-a	$\Q(\sqrt{449}) $	$2$	$449$	$[8,8,-443w + 4915]$	$8$	$[2, 2]$	$37$
8.4-b	$\Q(\sqrt{449}) $	$2$	$449$	$[8,8,-443w + 4915]$	$8$	$[2, 2]$	$42$

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Results (40 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	\(\Q(\sqrt{449}) \)	$2$	$449$	$[1, 1, 1]$	$1$	$[2, 2]$	$10$
1.1-b	\(\Q(\sqrt{449}) \)	$2$	$449$	$[1, 1, 1]$	$1$	$[2, 2]$	$18$	✓
2.1-a	\(\Q(\sqrt{449}) \)	$2$	$449$	$[2, 2, w + 10]$	$2$	$[2, 2]$	$9$
2.1-b	\(\Q(\sqrt{449}) \)	$2$	$449$	$[2, 2, w + 10]$	$2$	$[2, 2]$	$13$
2.2-a	\(\Q(\sqrt{449}) \)	$2$	$449$	$[2,2,-w + 11]$	$2$	$[2, 2]$	$9$
2.2-b	\(\Q(\sqrt{449}) \)	$2$	$449$	$[2,2,-w + 11]$	$2$	$[2, 2]$	$13$
4.1-a	\(\Q(\sqrt{449}) \)	$2$	$449$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-b	\(\Q(\sqrt{449}) \)	$2$	$449$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-c	\(\Q(\sqrt{449}) \)	$2$	$449$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-d	\(\Q(\sqrt{449}) \)	$2$	$449$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-e	\(\Q(\sqrt{449}) \)	$2$	$449$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-f	\(\Q(\sqrt{449}) \)	$2$	$449$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-g	\(\Q(\sqrt{449}) \)	$2$	$449$	$[4, 2, 2]$	$4$	$[2, 2]$	$9$	✓
4.1-h	\(\Q(\sqrt{449}) \)	$2$	$449$	$[4, 2, 2]$	$4$	$[2, 2]$	$10$	✓
4.2-a	\(\Q(\sqrt{449}) \)	$2$	$449$	$[4, 4, 21w + 212]$	$4$	$[2, 2]$	$24$
4.3-a	\(\Q(\sqrt{449}) \)	$2$	$449$	$[4,4,-21w + 233]$	$4$	$[2, 2]$	$24$
5.1-a	\(\Q(\sqrt{449}) \)	$2$	$449$	$[5, 5, -116w - 1171]$	$5$	$[2, 2]$	$2$
5.1-b	\(\Q(\sqrt{449}) \)	$2$	$449$	$[5, 5, -116w - 1171]$	$5$	$[2, 2]$	$2$
5.1-c	\(\Q(\sqrt{449}) \)	$2$	$449$	$[5, 5, -116w - 1171]$	$5$	$[2, 2]$	$2$
5.1-d	\(\Q(\sqrt{449}) \)	$2$	$449$	$[5, 5, -116w - 1171]$	$5$	$[2, 2]$	$39$
5.1-e	\(\Q(\sqrt{449}) \)	$2$	$449$	$[5, 5, -116w - 1171]$	$5$	$[2, 2]$	$56$
5.2-a	\(\Q(\sqrt{449}) \)	$2$	$449$	$[5,5,116w - 1287]$	$5$	$[2, 2]$	$2$
5.2-b	\(\Q(\sqrt{449}) \)	$2$	$449$	$[5,5,116w - 1287]$	$5$	$[2, 2]$	$2$
5.2-c	\(\Q(\sqrt{449}) \)	$2$	$449$	$[5,5,116w - 1287]$	$5$	$[2, 2]$	$2$
5.2-d	\(\Q(\sqrt{449}) \)	$2$	$449$	$[5,5,116w - 1287]$	$5$	$[2, 2]$	$39$
5.2-e	\(\Q(\sqrt{449}) \)	$2$	$449$	$[5,5,116w - 1287]$	$5$	$[2, 2]$	$56$
7.1-a	\(\Q(\sqrt{449}) \)	$2$	$449$	$[7, 7, -1002w - 10115]$	$7$	$[2, 2]$	$1$
7.1-b	\(\Q(\sqrt{449}) \)	$2$	$449$	$[7, 7, -1002w - 10115]$	$7$	$[2, 2]$	$71$
7.1-c	\(\Q(\sqrt{449}) \)	$2$	$449$	$[7, 7, -1002w - 10115]$	$7$	$[2, 2]$	$77$
7.2-a	\(\Q(\sqrt{449}) \)	$2$	$449$	$[7,7,1002w - 11117]$	$7$	$[2, 2]$	$1$
7.2-b	\(\Q(\sqrt{449}) \)	$2$	$449$	$[7,7,1002w - 11117]$	$7$	$[2, 2]$	$71$
7.2-c	\(\Q(\sqrt{449}) \)	$2$	$449$	$[7,7,1002w - 11117]$	$7$	$[2, 2]$	$77$
8.1-a	\(\Q(\sqrt{449}) \)	$2$	$449$	$[8, 4, 2w + 20]$	$8$	$[2, 2]$	$13$
8.1-b	\(\Q(\sqrt{449}) \)	$2$	$449$	$[8, 4, 2w + 20]$	$8$	$[2, 2]$	$13$
8.2-a	\(\Q(\sqrt{449}) \)	$2$	$449$	$[8,4,-2w + 22]$	$8$	$[2, 2]$	$13$
8.2-b	\(\Q(\sqrt{449}) \)	$2$	$449$	$[8,4,-2w + 22]$	$8$	$[2, 2]$	$13$
8.3-a	\(\Q(\sqrt{449}) \)	$2$	$449$	$[8, 8, 443w + 4472]$	$8$	$[2, 2]$	$37$
8.3-b	\(\Q(\sqrt{449}) \)	$2$	$449$	$[8, 8, 443w + 4472]$	$8$	$[2, 2]$	$42$
8.4-a	\(\Q(\sqrt{449}) \)	$2$	$449$	$[8,8,-443w + 4915]$	$8$	$[2, 2]$	$37$
8.4-b	\(\Q(\sqrt{449}) \)	$2$	$449$	$[8,8,-443w + 4915]$	$8$	$[2, 2]$	$42$