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 (42 matches)

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	Base change
1.1-a	$\Q(\sqrt{173}) $	$2$	$173$	$[1, 1, 1]$	$1$	$[2, 2]$	$7$	✓
4.1-a	$\Q(\sqrt{173}) $	$2$	$173$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-b	$\Q(\sqrt{173}) $	$2$	$173$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$	✓
4.1-c	$\Q(\sqrt{173}) $	$2$	$173$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-d	$\Q(\sqrt{173}) $	$2$	$173$	$[4, 2, 2]$	$4$	$[2, 2]$	$6$	✓
9.1-a	$\Q(\sqrt{173}) $	$2$	$173$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$
9.1-b	$\Q(\sqrt{173}) $	$2$	$173$	$[9, 3, 3]$	$9$	$[2, 2]$	$8$
9.1-c	$\Q(\sqrt{173}) $	$2$	$173$	$[9, 3, 3]$	$9$	$[2, 2]$	$14$	✓
13.1-a	$\Q(\sqrt{173}) $	$2$	$173$	$[13, 13, w + 5]$	$13$	$[2, 2]$	$2$
13.1-b	$\Q(\sqrt{173}) $	$2$	$173$	$[13, 13, w + 5]$	$13$	$[2, 2]$	$3$
13.1-c	$\Q(\sqrt{173}) $	$2$	$173$	$[13, 13, w + 5]$	$13$	$[2, 2]$	$15$
13.1-d	$\Q(\sqrt{173}) $	$2$	$173$	$[13, 13, w + 5]$	$13$	$[2, 2]$	$20$
13.2-a	$\Q(\sqrt{173}) $	$2$	$173$	$[13,13,-w + 6]$	$13$	$[2, 2]$	$2$
13.2-b	$\Q(\sqrt{173}) $	$2$	$173$	$[13,13,-w + 6]$	$13$	$[2, 2]$	$3$
13.2-c	$\Q(\sqrt{173}) $	$2$	$173$	$[13,13,-w + 6]$	$13$	$[2, 2]$	$15$
13.2-d	$\Q(\sqrt{173}) $	$2$	$173$	$[13,13,-w + 6]$	$13$	$[2, 2]$	$20$
16.1-a	$\Q(\sqrt{173}) $	$2$	$173$	$[16, 4, 4]$	$16$	$[2, 2]$	$7$	✓
16.1-b	$\Q(\sqrt{173}) $	$2$	$173$	$[16, 4, 4]$	$16$	$[2, 2]$	$8$
16.1-c	$\Q(\sqrt{173}) $	$2$	$173$	$[16, 4, 4]$	$16$	$[2, 2]$	$16$
23.1-a	$\Q(\sqrt{173}) $	$2$	$173$	$[23, 23, -w - 4]$	$23$	$[2, 2]$	$2$
23.1-b	$\Q(\sqrt{173}) $	$2$	$173$	$[23, 23, -w - 4]$	$23$	$[2, 2]$	$3$
23.1-c	$\Q(\sqrt{173}) $	$2$	$173$	$[23, 23, -w - 4]$	$23$	$[2, 2]$	$27$
23.1-d	$\Q(\sqrt{173}) $	$2$	$173$	$[23, 23, -w - 4]$	$23$	$[2, 2]$	$31$
23.2-a	$\Q(\sqrt{173}) $	$2$	$173$	$[23,23,w - 5]$	$23$	$[2, 2]$	$2$
23.2-b	$\Q(\sqrt{173}) $	$2$	$173$	$[23,23,w - 5]$	$23$	$[2, 2]$	$3$
23.2-c	$\Q(\sqrt{173}) $	$2$	$173$	$[23,23,w - 5]$	$23$	$[2, 2]$	$27$
23.2-d	$\Q(\sqrt{173}) $	$2$	$173$	$[23,23,w - 5]$	$23$	$[2, 2]$	$31$
25.1-a	$\Q(\sqrt{173}) $	$2$	$173$	$[25, 5, 5]$	$25$	$[2, 2]$	$4$
25.1-b	$\Q(\sqrt{173}) $	$2$	$173$	$[25, 5, 5]$	$25$	$[2, 2]$	$4$
25.1-c	$\Q(\sqrt{173}) $	$2$	$173$	$[25, 5, 5]$	$25$	$[2, 2]$	$6$
25.1-d	$\Q(\sqrt{173}) $	$2$	$173$	$[25, 5, 5]$	$25$	$[2, 2]$	$29$	✓
25.1-e	$\Q(\sqrt{173}) $	$2$	$173$	$[25, 5, 5]$	$25$	$[2, 2]$	$36$
29.1-a	$\Q(\sqrt{173}) $	$2$	$173$	$[29, 29, -w - 8]$	$29$	$[2, 2]$	$39$
29.1-b	$\Q(\sqrt{173}) $	$2$	$173$	$[29, 29, -w - 8]$	$29$	$[2, 2]$	$47$
29.2-a	$\Q(\sqrt{173}) $	$2$	$173$	$[29,29,w - 9]$	$29$	$[2, 2]$	$39$
29.2-b	$\Q(\sqrt{173}) $	$2$	$173$	$[29,29,w - 9]$	$29$	$[2, 2]$	$47$
31.1-a	$\Q(\sqrt{173}) $	$2$	$173$	$[31, 31, w + 3]$	$31$	$[2, 2]$	$2$
31.1-b	$\Q(\sqrt{173}) $	$2$	$173$	$[31, 31, w + 3]$	$31$	$[2, 2]$	$43$
31.1-c	$\Q(\sqrt{173}) $	$2$	$173$	$[31, 31, w + 3]$	$31$	$[2, 2]$	$50$
31.2-a	$\Q(\sqrt{173}) $	$2$	$173$	$[31,31,-w + 4]$	$31$	$[2, 2]$	$2$
31.2-b	$\Q(\sqrt{173}) $	$2$	$173$	$[31,31,-w + 4]$	$31$	$[2, 2]$	$43$
31.2-c	$\Q(\sqrt{173}) $	$2$	$173$	$[31,31,-w + 4]$	$31$	$[2, 2]$	$50$

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Results (42 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	\(\Q(\sqrt{173}) \)	$2$	$173$	$[1, 1, 1]$	$1$	$[2, 2]$	$7$	✓
4.1-a	\(\Q(\sqrt{173}) \)	$2$	$173$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-b	\(\Q(\sqrt{173}) \)	$2$	$173$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$	✓
4.1-c	\(\Q(\sqrt{173}) \)	$2$	$173$	$[4, 2, 2]$	$4$	$[2, 2]$	$1$
4.1-d	\(\Q(\sqrt{173}) \)	$2$	$173$	$[4, 2, 2]$	$4$	$[2, 2]$	$6$	✓
9.1-a	\(\Q(\sqrt{173}) \)	$2$	$173$	$[9, 3, 3]$	$9$	$[2, 2]$	$2$
9.1-b	\(\Q(\sqrt{173}) \)	$2$	$173$	$[9, 3, 3]$	$9$	$[2, 2]$	$8$
9.1-c	\(\Q(\sqrt{173}) \)	$2$	$173$	$[9, 3, 3]$	$9$	$[2, 2]$	$14$	✓
13.1-a	\(\Q(\sqrt{173}) \)	$2$	$173$	$[13, 13, w + 5]$	$13$	$[2, 2]$	$2$
13.1-b	\(\Q(\sqrt{173}) \)	$2$	$173$	$[13, 13, w + 5]$	$13$	$[2, 2]$	$3$
13.1-c	\(\Q(\sqrt{173}) \)	$2$	$173$	$[13, 13, w + 5]$	$13$	$[2, 2]$	$15$
13.1-d	\(\Q(\sqrt{173}) \)	$2$	$173$	$[13, 13, w + 5]$	$13$	$[2, 2]$	$20$
13.2-a	\(\Q(\sqrt{173}) \)	$2$	$173$	$[13,13,-w + 6]$	$13$	$[2, 2]$	$2$
13.2-b	\(\Q(\sqrt{173}) \)	$2$	$173$	$[13,13,-w + 6]$	$13$	$[2, 2]$	$3$
13.2-c	\(\Q(\sqrt{173}) \)	$2$	$173$	$[13,13,-w + 6]$	$13$	$[2, 2]$	$15$
13.2-d	\(\Q(\sqrt{173}) \)	$2$	$173$	$[13,13,-w + 6]$	$13$	$[2, 2]$	$20$
16.1-a	\(\Q(\sqrt{173}) \)	$2$	$173$	$[16, 4, 4]$	$16$	$[2, 2]$	$7$	✓
16.1-b	\(\Q(\sqrt{173}) \)	$2$	$173$	$[16, 4, 4]$	$16$	$[2, 2]$	$8$
16.1-c	\(\Q(\sqrt{173}) \)	$2$	$173$	$[16, 4, 4]$	$16$	$[2, 2]$	$16$
23.1-a	\(\Q(\sqrt{173}) \)	$2$	$173$	$[23, 23, -w - 4]$	$23$	$[2, 2]$	$2$
23.1-b	\(\Q(\sqrt{173}) \)	$2$	$173$	$[23, 23, -w - 4]$	$23$	$[2, 2]$	$3$
23.1-c	\(\Q(\sqrt{173}) \)	$2$	$173$	$[23, 23, -w - 4]$	$23$	$[2, 2]$	$27$
23.1-d	\(\Q(\sqrt{173}) \)	$2$	$173$	$[23, 23, -w - 4]$	$23$	$[2, 2]$	$31$
23.2-a	\(\Q(\sqrt{173}) \)	$2$	$173$	$[23,23,w - 5]$	$23$	$[2, 2]$	$2$
23.2-b	\(\Q(\sqrt{173}) \)	$2$	$173$	$[23,23,w - 5]$	$23$	$[2, 2]$	$3$
23.2-c	\(\Q(\sqrt{173}) \)	$2$	$173$	$[23,23,w - 5]$	$23$	$[2, 2]$	$27$
23.2-d	\(\Q(\sqrt{173}) \)	$2$	$173$	$[23,23,w - 5]$	$23$	$[2, 2]$	$31$
25.1-a	\(\Q(\sqrt{173}) \)	$2$	$173$	$[25, 5, 5]$	$25$	$[2, 2]$	$4$
25.1-b	\(\Q(\sqrt{173}) \)	$2$	$173$	$[25, 5, 5]$	$25$	$[2, 2]$	$4$
25.1-c	\(\Q(\sqrt{173}) \)	$2$	$173$	$[25, 5, 5]$	$25$	$[2, 2]$	$6$
25.1-d	\(\Q(\sqrt{173}) \)	$2$	$173$	$[25, 5, 5]$	$25$	$[2, 2]$	$29$	✓
25.1-e	\(\Q(\sqrt{173}) \)	$2$	$173$	$[25, 5, 5]$	$25$	$[2, 2]$	$36$
29.1-a	\(\Q(\sqrt{173}) \)	$2$	$173$	$[29, 29, -w - 8]$	$29$	$[2, 2]$	$39$
29.1-b	\(\Q(\sqrt{173}) \)	$2$	$173$	$[29, 29, -w - 8]$	$29$	$[2, 2]$	$47$
29.2-a	\(\Q(\sqrt{173}) \)	$2$	$173$	$[29,29,w - 9]$	$29$	$[2, 2]$	$39$
29.2-b	\(\Q(\sqrt{173}) \)	$2$	$173$	$[29,29,w - 9]$	$29$	$[2, 2]$	$47$
31.1-a	\(\Q(\sqrt{173}) \)	$2$	$173$	$[31, 31, w + 3]$	$31$	$[2, 2]$	$2$
31.1-b	\(\Q(\sqrt{173}) \)	$2$	$173$	$[31, 31, w + 3]$	$31$	$[2, 2]$	$43$
31.1-c	\(\Q(\sqrt{173}) \)	$2$	$173$	$[31, 31, w + 3]$	$31$	$[2, 2]$	$50$
31.2-a	\(\Q(\sqrt{173}) \)	$2$	$173$	$[31,31,-w + 4]$	$31$	$[2, 2]$	$2$
31.2-b	\(\Q(\sqrt{173}) \)	$2$	$173$	$[31,31,-w + 4]$	$31$	$[2, 2]$	$43$
31.2-c	\(\Q(\sqrt{173}) \)	$2$	$173$	$[31,31,-w + 4]$	$31$	$[2, 2]$	$50$