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 (23 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{497}) $	$2$	$497$	$[1, 1, 1]$	$1$	$[2, 2]$	$1$	✓	✓
1.1-b	$\Q(\sqrt{497}) $	$2$	$497$	$[1, 1, 1]$	$1$	$[2, 2]$	$3$	✓
1.1-c	$\Q(\sqrt{497}) $	$2$	$497$	$[1, 1, 1]$	$1$	$[2, 2]$	$3$	✓
1.1-d	$\Q(\sqrt{497}) $	$2$	$497$	$[1, 1, 1]$	$1$	$[2, 2]$	$8$
1.1-e	$\Q(\sqrt{497}) $	$2$	$497$	$[1, 1, 1]$	$1$	$[2, 2]$	$22$		✓
2.1-a	$\Q(\sqrt{497}) $	$2$	$497$	$[2, 2, 17w - 198]$	$2$	$[2, 2]$	$6$
2.1-b	$\Q(\sqrt{497}) $	$2$	$497$	$[2, 2, 17w - 198]$	$2$	$[2, 2]$	$8$
2.1-c	$\Q(\sqrt{497}) $	$2$	$497$	$[2, 2, 17w - 198]$	$2$	$[2, 2]$	$8$
2.2-a	$\Q(\sqrt{497}) $	$2$	$497$	$[2,2,-17w - 181]$	$2$	$[2, 2]$	$6$
2.2-b	$\Q(\sqrt{497}) $	$2$	$497$	$[2,2,-17w - 181]$	$2$	$[2, 2]$	$8$
2.2-c	$\Q(\sqrt{497}) $	$2$	$497$	$[2,2,-17w - 181]$	$2$	$[2, 2]$	$8$
4.1-a	$\Q(\sqrt{497}) $	$2$	$497$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-b	$\Q(\sqrt{497}) $	$2$	$497$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-c	$\Q(\sqrt{497}) $	$2$	$497$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-d	$\Q(\sqrt{497}) $	$2$	$497$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-e	$\Q(\sqrt{497}) $	$2$	$497$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-f	$\Q(\sqrt{497}) $	$2$	$497$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-g	$\Q(\sqrt{497}) $	$2$	$497$	$[4, 2, 2]$	$4$	$[2, 2]$	$12$		✓
4.1-h	$\Q(\sqrt{497}) $	$2$	$497$	$[4, 2, 2]$	$4$	$[2, 2]$	$12$		✓
4.2-a	$\Q(\sqrt{497}) $	$2$	$497$	$[4, 4, 3w + 32]$	$4$	$[2, 2]$	$26$
4.3-a	$\Q(\sqrt{497}) $	$2$	$497$	$[4,4,-3w + 35]$	$4$	$[2, 2]$	$26$
7.1-a	$\Q(\sqrt{497}) $	$2$	$497$	$[7, 7, -184w + 2143]$	$7$	$[2, 2]$	$72$
7.1-b	$\Q(\sqrt{497}) $	$2$	$497$	$[7, 7, -184w + 2143]$	$7$	$[2, 2]$	$72$

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Results (23 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	\(\Q(\sqrt{497}) \)	$2$	$497$	$[1, 1, 1]$	$1$	$[2, 2]$	$1$	✓	✓
1.1-b	\(\Q(\sqrt{497}) \)	$2$	$497$	$[1, 1, 1]$	$1$	$[2, 2]$	$3$	✓
1.1-c	\(\Q(\sqrt{497}) \)	$2$	$497$	$[1, 1, 1]$	$1$	$[2, 2]$	$3$	✓
1.1-d	\(\Q(\sqrt{497}) \)	$2$	$497$	$[1, 1, 1]$	$1$	$[2, 2]$	$8$
1.1-e	\(\Q(\sqrt{497}) \)	$2$	$497$	$[1, 1, 1]$	$1$	$[2, 2]$	$22$		✓
2.1-a	\(\Q(\sqrt{497}) \)	$2$	$497$	$[2, 2, 17w - 198]$	$2$	$[2, 2]$	$6$
2.1-b	\(\Q(\sqrt{497}) \)	$2$	$497$	$[2, 2, 17w - 198]$	$2$	$[2, 2]$	$8$
2.1-c	\(\Q(\sqrt{497}) \)	$2$	$497$	$[2, 2, 17w - 198]$	$2$	$[2, 2]$	$8$
2.2-a	\(\Q(\sqrt{497}) \)	$2$	$497$	$[2,2,-17w - 181]$	$2$	$[2, 2]$	$6$
2.2-b	\(\Q(\sqrt{497}) \)	$2$	$497$	$[2,2,-17w - 181]$	$2$	$[2, 2]$	$8$
2.2-c	\(\Q(\sqrt{497}) \)	$2$	$497$	$[2,2,-17w - 181]$	$2$	$[2, 2]$	$8$
4.1-a	\(\Q(\sqrt{497}) \)	$2$	$497$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-b	\(\Q(\sqrt{497}) \)	$2$	$497$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-c	\(\Q(\sqrt{497}) \)	$2$	$497$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-d	\(\Q(\sqrt{497}) \)	$2$	$497$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-e	\(\Q(\sqrt{497}) \)	$2$	$497$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-f	\(\Q(\sqrt{497}) \)	$2$	$497$	$[4, 2, 2]$	$4$	$[2, 2]$	$4$
4.1-g	\(\Q(\sqrt{497}) \)	$2$	$497$	$[4, 2, 2]$	$4$	$[2, 2]$	$12$		✓
4.1-h	\(\Q(\sqrt{497}) \)	$2$	$497$	$[4, 2, 2]$	$4$	$[2, 2]$	$12$		✓
4.2-a	\(\Q(\sqrt{497}) \)	$2$	$497$	$[4, 4, 3w + 32]$	$4$	$[2, 2]$	$26$
4.3-a	\(\Q(\sqrt{497}) \)	$2$	$497$	$[4,4,-3w + 35]$	$4$	$[2, 2]$	$26$
7.1-a	\(\Q(\sqrt{497}) \)	$2$	$497$	$[7, 7, -184w + 2143]$	$7$	$[2, 2]$	$72$
7.1-b	\(\Q(\sqrt{497}) \)	$2$	$497$	$[7, 7, -184w + 2143]$	$7$	$[2, 2]$	$72$