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 (1-50 of 24480 matches)

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	CM	Base change
9.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$		✓
17.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[17, 17, 3w + 1]$	$17$	$[2, 2]$	$1$
17.2-a	$\Q(\sqrt{2}) $	$2$	$8$	$[17,17,-3w + 1]$	$17$	$[2, 2]$	$1$
25.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[25, 5, 5]$	$25$	$[2, 2]$	$2$		✓
28.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[28, 14, -4w + 2]$	$28$	$[2, 2]$	$1$
28.2-a	$\Q(\sqrt{2}) $	$2$	$8$	$[28,14,4w + 2]$	$28$	$[2, 2]$	$1$
31.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[31, 31, 4w + 1]$	$31$	$[2, 2]$	$1$
31.2-a	$\Q(\sqrt{2}) $	$2$	$8$	$[31,31,-4w + 1]$	$31$	$[2, 2]$	$1$
32.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[32, 8, -4w]$	$32$	$[2, 2]$	$1$	✓	✓
34.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[34, 34, -w - 6]$	$34$	$[2, 2]$	$1$
34.2-a	$\Q(\sqrt{2}) $	$2$	$8$	$[34,34,w - 6]$	$34$	$[2, 2]$	$1$
41.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[41, 41, 2w - 7]$	$41$	$[2, 2]$	$2$
41.2-a	$\Q(\sqrt{2}) $	$2$	$8$	$[41,41,-2w - 7]$	$41$	$[2, 2]$	$2$
46.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[46, 46, -5w + 2]$	$46$	$[2, 2]$	$1$
46.1-b	$\Q(\sqrt{2}) $	$2$	$8$	$[46, 46, -5w + 2]$	$46$	$[2, 2]$	$1$
46.2-a	$\Q(\sqrt{2}) $	$2$	$8$	$[46,46,5w + 2]$	$46$	$[2, 2]$	$1$
46.2-b	$\Q(\sqrt{2}) $	$2$	$8$	$[46,46,5w + 2]$	$46$	$[2, 2]$	$1$
47.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[47, 47, -w - 7]$	$47$	$[2, 2]$	$1$
47.2-a	$\Q(\sqrt{2}) $	$2$	$8$	$[47,47,w - 7]$	$47$	$[2, 2]$	$1$
49.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[49, 7, 7]$	$49$	$[2, 2]$	$1$		✓
49.1-b	$\Q(\sqrt{2}) $	$2$	$8$	$[49, 7, 7]$	$49$	$[2, 2]$	$2$		✓
49.2-a	$\Q(\sqrt{2}) $	$2$	$8$	$[49, 49, 5w + 1]$	$49$	$[2, 2]$	$2$
49.3-a	$\Q(\sqrt{2}) $	$2$	$8$	$[49,49,-5w + 1]$	$49$	$[2, 2]$	$2$
56.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[56, 28, 2w + 8]$	$56$	$[2, 2]$	$1$
56.2-a	$\Q(\sqrt{2}) $	$2$	$8$	$[56,28,-2w + 8]$	$56$	$[2, 2]$	$1$
62.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[62, 62, -w - 8]$	$62$	$[2, 2]$	$1$
62.2-a	$\Q(\sqrt{2}) $	$2$	$8$	$[62,62,w - 8]$	$62$	$[2, 2]$	$1$
63.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[63, 21, -6w + 3]$	$63$	$[2, 2]$	$1$
63.2-a	$\Q(\sqrt{2}) $	$2$	$8$	$[63,21,6w + 3]$	$63$	$[2, 2]$	$1$
64.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[64, 8, 8]$	$64$	$[2, 2]$	$1$	✓	✓
71.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[71, 71, -6w - 1]$	$71$	$[2, 2]$	$2$
71.2-a	$\Q(\sqrt{2}) $	$2$	$8$	$[71,71,6w - 1]$	$71$	$[2, 2]$	$2$
72.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[72, 12, -6w]$	$72$	$[2, 2]$	$1$		✓
73.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[73, 73, -7w - 5]$	$73$	$[2, 2]$	$1$
73.1-b	$\Q(\sqrt{2}) $	$2$	$8$	$[73, 73, -7w - 5]$	$73$	$[2, 2]$	$3$
73.2-a	$\Q(\sqrt{2}) $	$2$	$8$	$[73,73,7w - 5]$	$73$	$[2, 2]$	$1$
73.2-b	$\Q(\sqrt{2}) $	$2$	$8$	$[73,73,7w - 5]$	$73$	$[2, 2]$	$3$
79.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[79, 79, -w - 9]$	$79$	$[2, 2]$	$3$
79.2-a	$\Q(\sqrt{2}) $	$2$	$8$	$[79,79,w - 9]$	$79$	$[2, 2]$	$3$
81.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[81, 9, 9]$	$81$	$[2, 2]$	$1$		✓
81.1-b	$\Q(\sqrt{2}) $	$2$	$8$	$[81, 9, 9]$	$81$	$[2, 2]$	$1$	✓	✓
82.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[82, 82, 7w + 4]$	$82$	$[2, 2]$	$1$
82.1-b	$\Q(\sqrt{2}) $	$2$	$8$	$[82, 82, 7w + 4]$	$82$	$[2, 2]$	$1$
82.2-a	$\Q(\sqrt{2}) $	$2$	$8$	$[82,82,-7w + 4]$	$82$	$[2, 2]$	$1$
82.2-b	$\Q(\sqrt{2}) $	$2$	$8$	$[82,82,-7w + 4]$	$82$	$[2, 2]$	$1$
89.1-a	$\Q(\sqrt{2}) $	$2$	$8$	$[89, 89, -4w - 11]$	$89$	$[2, 2]$	$1$
89.1-b	$\Q(\sqrt{2}) $	$2$	$8$	$[89, 89, -4w - 11]$	$89$	$[2, 2]$	$1$
89.1-c	$\Q(\sqrt{2}) $	$2$	$8$	$[89, 89, -4w - 11]$	$89$	$[2, 2]$	$2$
89.2-a	$\Q(\sqrt{2}) $	$2$	$8$	$[89,89,4w - 11]$	$89$	$[2, 2]$	$1$
89.2-b	$\Q(\sqrt{2}) $	$2$	$8$	$[89,89,4w - 11]$	$89$	$[2, 2]$	$1$

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Results (1-50 of 24480 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
9.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[9, 3, 3]$	$9$	$[2, 2]$	$1$		✓
17.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[17, 17, 3w + 1]$	$17$	$[2, 2]$	$1$
17.2-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[17,17,-3w + 1]$	$17$	$[2, 2]$	$1$
25.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[25, 5, 5]$	$25$	$[2, 2]$	$2$		✓
28.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[28, 14, -4w + 2]$	$28$	$[2, 2]$	$1$
28.2-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[28,14,4w + 2]$	$28$	$[2, 2]$	$1$
31.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[31, 31, 4w + 1]$	$31$	$[2, 2]$	$1$
31.2-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[31,31,-4w + 1]$	$31$	$[2, 2]$	$1$
32.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[32, 8, -4w]$	$32$	$[2, 2]$	$1$	✓	✓
34.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[34, 34, -w - 6]$	$34$	$[2, 2]$	$1$
34.2-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[34,34,w - 6]$	$34$	$[2, 2]$	$1$
41.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[41, 41, 2w - 7]$	$41$	$[2, 2]$	$2$
41.2-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[41,41,-2w - 7]$	$41$	$[2, 2]$	$2$
46.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[46, 46, -5w + 2]$	$46$	$[2, 2]$	$1$
46.1-b	\(\Q(\sqrt{2}) \)	$2$	$8$	$[46, 46, -5w + 2]$	$46$	$[2, 2]$	$1$
46.2-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[46,46,5w + 2]$	$46$	$[2, 2]$	$1$
46.2-b	\(\Q(\sqrt{2}) \)	$2$	$8$	$[46,46,5w + 2]$	$46$	$[2, 2]$	$1$
47.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[47, 47, -w - 7]$	$47$	$[2, 2]$	$1$
47.2-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[47,47,w - 7]$	$47$	$[2, 2]$	$1$
49.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[49, 7, 7]$	$49$	$[2, 2]$	$1$		✓
49.1-b	\(\Q(\sqrt{2}) \)	$2$	$8$	$[49, 7, 7]$	$49$	$[2, 2]$	$2$		✓
49.2-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[49, 49, 5w + 1]$	$49$	$[2, 2]$	$2$
49.3-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[49,49,-5w + 1]$	$49$	$[2, 2]$	$2$
56.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[56, 28, 2w + 8]$	$56$	$[2, 2]$	$1$
56.2-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[56,28,-2w + 8]$	$56$	$[2, 2]$	$1$
62.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[62, 62, -w - 8]$	$62$	$[2, 2]$	$1$
62.2-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[62,62,w - 8]$	$62$	$[2, 2]$	$1$
63.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[63, 21, -6w + 3]$	$63$	$[2, 2]$	$1$
63.2-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[63,21,6w + 3]$	$63$	$[2, 2]$	$1$
64.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[64, 8, 8]$	$64$	$[2, 2]$	$1$	✓	✓
71.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[71, 71, -6w - 1]$	$71$	$[2, 2]$	$2$
71.2-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[71,71,6w - 1]$	$71$	$[2, 2]$	$2$
72.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[72, 12, -6w]$	$72$	$[2, 2]$	$1$		✓
73.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[73, 73, -7w - 5]$	$73$	$[2, 2]$	$1$
73.1-b	\(\Q(\sqrt{2}) \)	$2$	$8$	$[73, 73, -7w - 5]$	$73$	$[2, 2]$	$3$
73.2-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[73,73,7w - 5]$	$73$	$[2, 2]$	$1$
73.2-b	\(\Q(\sqrt{2}) \)	$2$	$8$	$[73,73,7w - 5]$	$73$	$[2, 2]$	$3$
79.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[79, 79, -w - 9]$	$79$	$[2, 2]$	$3$
79.2-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[79,79,w - 9]$	$79$	$[2, 2]$	$3$
81.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[81, 9, 9]$	$81$	$[2, 2]$	$1$		✓
81.1-b	\(\Q(\sqrt{2}) \)	$2$	$8$	$[81, 9, 9]$	$81$	$[2, 2]$	$1$	✓	✓
82.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[82, 82, 7w + 4]$	$82$	$[2, 2]$	$1$
82.1-b	\(\Q(\sqrt{2}) \)	$2$	$8$	$[82, 82, 7w + 4]$	$82$	$[2, 2]$	$1$
82.2-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[82,82,-7w + 4]$	$82$	$[2, 2]$	$1$
82.2-b	\(\Q(\sqrt{2}) \)	$2$	$8$	$[82,82,-7w + 4]$	$82$	$[2, 2]$	$1$
89.1-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[89, 89, -4w - 11]$	$89$	$[2, 2]$	$1$
89.1-b	\(\Q(\sqrt{2}) \)	$2$	$8$	$[89, 89, -4w - 11]$	$89$	$[2, 2]$	$1$
89.1-c	\(\Q(\sqrt{2}) \)	$2$	$8$	$[89, 89, -4w - 11]$	$89$	$[2, 2]$	$2$
89.2-a	\(\Q(\sqrt{2}) \)	$2$	$8$	$[89,89,4w - 11]$	$89$	$[2, 2]$	$1$
89.2-b	\(\Q(\sqrt{2}) \)	$2$	$8$	$[89,89,4w - 11]$	$89$	$[2, 2]$	$1$