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 (40 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{114}) $	$2$	$456$	$[1, 1, 1]$	$1$	$[2, 2]$	$2$	✓
1.1-b	$\Q(\sqrt{114}) $	$2$	$456$	$[1, 1, 1]$	$1$	$[2, 2]$	$2$	✓
1.1-c	$\Q(\sqrt{114}) $	$2$	$456$	$[1, 1, 1]$	$1$	$[2, 2]$	$4$		✓
1.1-d	$\Q(\sqrt{114}) $	$2$	$456$	$[1, 1, 1]$	$1$	$[2, 2]$	$6$	✓	✓
1.1-e	$\Q(\sqrt{114}) $	$2$	$456$	$[1, 1, 1]$	$1$	$[2, 2]$	$16$
1.1-f	$\Q(\sqrt{114}) $	$2$	$456$	$[1, 1, 1]$	$1$	$[2, 2]$	$32$		✓
2.1-a	$\Q(\sqrt{114}) $	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$1$
2.1-b	$\Q(\sqrt{114}) $	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$1$
2.1-c	$\Q(\sqrt{114}) $	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$1$
2.1-d	$\Q(\sqrt{114}) $	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$1$
2.1-e	$\Q(\sqrt{114}) $	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$2$		✓
2.1-f	$\Q(\sqrt{114}) $	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$2$
2.1-g	$\Q(\sqrt{114}) $	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$2$
2.1-h	$\Q(\sqrt{114}) $	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$2$		✓
2.1-i	$\Q(\sqrt{114}) $	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$2$
2.1-j	$\Q(\sqrt{114}) $	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$2$		✓
2.1-k	$\Q(\sqrt{114}) $	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$2$
2.1-l	$\Q(\sqrt{114}) $	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$2$		✓
2.1-m	$\Q(\sqrt{114}) $	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$4$
2.1-n	$\Q(\sqrt{114}) $	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$4$
3.1-a	$\Q(\sqrt{114}) $	$2$	$456$	$[3, 3, w]$	$3$	$[2, 2]$	$2$		✓
3.1-b	$\Q(\sqrt{114}) $	$2$	$456$	$[3, 3, w]$	$3$	$[2, 2]$	$2$		✓
3.1-c	$\Q(\sqrt{114}) $	$2$	$456$	$[3, 3, w]$	$3$	$[2, 2]$	$6$
3.1-d	$\Q(\sqrt{114}) $	$2$	$456$	$[3, 3, w]$	$3$	$[2, 2]$	$6$
3.1-e	$\Q(\sqrt{114}) $	$2$	$456$	$[3, 3, w]$	$3$	$[2, 2]$	$8$
3.1-f	$\Q(\sqrt{114}) $	$2$	$456$	$[3, 3, w]$	$3$	$[2, 2]$	$8$
3.1-g	$\Q(\sqrt{114}) $	$2$	$456$	$[3, 3, w]$	$3$	$[2, 2]$	$40$
4.1-a	$\Q(\sqrt{114}) $	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$	✓	✓
4.1-b	$\Q(\sqrt{114}) $	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$
4.1-c	$\Q(\sqrt{114}) $	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$	✓
4.1-d	$\Q(\sqrt{114}) $	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$
4.1-e	$\Q(\sqrt{114}) $	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$	✓
4.1-f	$\Q(\sqrt{114}) $	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-g	$\Q(\sqrt{114}) $	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$	✓
4.1-h	$\Q(\sqrt{114}) $	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-i	$\Q(\sqrt{114}) $	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-j	$\Q(\sqrt{114}) $	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-k	$\Q(\sqrt{114}) $	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-l	$\Q(\sqrt{114}) $	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$		✓
4.1-m	$\Q(\sqrt{114}) $	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$	✓

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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	CM	Base change
1.1-a	\(\Q(\sqrt{114}) \)	$2$	$456$	$[1, 1, 1]$	$1$	$[2, 2]$	$2$	✓
1.1-b	\(\Q(\sqrt{114}) \)	$2$	$456$	$[1, 1, 1]$	$1$	$[2, 2]$	$2$	✓
1.1-c	\(\Q(\sqrt{114}) \)	$2$	$456$	$[1, 1, 1]$	$1$	$[2, 2]$	$4$		✓
1.1-d	\(\Q(\sqrt{114}) \)	$2$	$456$	$[1, 1, 1]$	$1$	$[2, 2]$	$6$	✓	✓
1.1-e	\(\Q(\sqrt{114}) \)	$2$	$456$	$[1, 1, 1]$	$1$	$[2, 2]$	$16$
1.1-f	\(\Q(\sqrt{114}) \)	$2$	$456$	$[1, 1, 1]$	$1$	$[2, 2]$	$32$		✓
2.1-a	\(\Q(\sqrt{114}) \)	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$1$
2.1-b	\(\Q(\sqrt{114}) \)	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$1$
2.1-c	\(\Q(\sqrt{114}) \)	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$1$
2.1-d	\(\Q(\sqrt{114}) \)	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$1$
2.1-e	\(\Q(\sqrt{114}) \)	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$2$		✓
2.1-f	\(\Q(\sqrt{114}) \)	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$2$
2.1-g	\(\Q(\sqrt{114}) \)	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$2$
2.1-h	\(\Q(\sqrt{114}) \)	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$2$		✓
2.1-i	\(\Q(\sqrt{114}) \)	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$2$
2.1-j	\(\Q(\sqrt{114}) \)	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$2$		✓
2.1-k	\(\Q(\sqrt{114}) \)	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$2$
2.1-l	\(\Q(\sqrt{114}) \)	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$2$		✓
2.1-m	\(\Q(\sqrt{114}) \)	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$4$
2.1-n	\(\Q(\sqrt{114}) \)	$2$	$456$	$[2, 2, -3w - 32]$	$2$	$[2, 2]$	$4$
3.1-a	\(\Q(\sqrt{114}) \)	$2$	$456$	$[3, 3, w]$	$3$	$[2, 2]$	$2$		✓
3.1-b	\(\Q(\sqrt{114}) \)	$2$	$456$	$[3, 3, w]$	$3$	$[2, 2]$	$2$		✓
3.1-c	\(\Q(\sqrt{114}) \)	$2$	$456$	$[3, 3, w]$	$3$	$[2, 2]$	$6$
3.1-d	\(\Q(\sqrt{114}) \)	$2$	$456$	$[3, 3, w]$	$3$	$[2, 2]$	$6$
3.1-e	\(\Q(\sqrt{114}) \)	$2$	$456$	$[3, 3, w]$	$3$	$[2, 2]$	$8$
3.1-f	\(\Q(\sqrt{114}) \)	$2$	$456$	$[3, 3, w]$	$3$	$[2, 2]$	$8$
3.1-g	\(\Q(\sqrt{114}) \)	$2$	$456$	$[3, 3, w]$	$3$	$[2, 2]$	$40$
4.1-a	\(\Q(\sqrt{114}) \)	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$	✓	✓
4.1-b	\(\Q(\sqrt{114}) \)	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$
4.1-c	\(\Q(\sqrt{114}) \)	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$	✓
4.1-d	\(\Q(\sqrt{114}) \)	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$
4.1-e	\(\Q(\sqrt{114}) \)	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$2$	✓
4.1-f	\(\Q(\sqrt{114}) \)	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-g	\(\Q(\sqrt{114}) \)	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$	✓
4.1-h	\(\Q(\sqrt{114}) \)	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-i	\(\Q(\sqrt{114}) \)	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-j	\(\Q(\sqrt{114}) \)	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-k	\(\Q(\sqrt{114}) \)	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-l	\(\Q(\sqrt{114}) \)	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$		✓
4.1-m	\(\Q(\sqrt{114}) \)	$2$	$456$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$	✓