Hilbert modular form search results

Results (1-50 of 5847 matches)

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	CM	Base change
1.1-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$1$		✓
16.1-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$		✓
17.1-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[17, 17, -w^2 - w + 3]$	$17$	$[2, 2, 2, 2]$	$1$
17.1-b	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[17, 17, -w^2 - w + 3]$	$17$	$[2, 2, 2, 2]$	$1$
17.2-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[17,17,w^3 + w^2 - 3 w - 1]$	$17$	$[2, 2, 2, 2]$	$1$
17.2-b	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[17,17,w^3 + w^2 - 3 w - 1]$	$17$	$[2, 2, 2, 2]$	$1$
17.3-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[17,17,-w^3 + w^2 + 3 w - 1]$	$17$	$[2, 2, 2, 2]$	$1$
17.3-b	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[17,17,-w^3 + w^2 + 3 w - 1]$	$17$	$[2, 2, 2, 2]$	$1$
17.4-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[17,17,-w^2 + w + 3]$	$17$	$[2, 2, 2, 2]$	$1$
17.4-b	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[17,17,-w^2 + w + 3]$	$17$	$[2, 2, 2, 2]$	$1$
31.1-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[31, 31, w^3 + w^2 - 2 w - 3]$	$31$	$[2, 2, 2, 2]$	$1$
31.2-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[31,31,w^3 - w^2 - 4 w + 1]$	$31$	$[2, 2, 2, 2]$	$1$
31.3-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[31,31,-w^3 - w^2 + 4 w + 1]$	$31$	$[2, 2, 2, 2]$	$1$
31.4-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[31,31,-w^3 + w^2 + 2 w - 3]$	$31$	$[2, 2, 2, 2]$	$1$
32.1-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[32, 4, 2 w]$	$32$	$[2, 2, 2, 2]$	$1$	✓	✓
34.1-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[34, 34, w^2 - w - 4]$	$34$	$[2, 2, 2, 2]$	$1$
34.1-b	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[34, 34, w^2 - w - 4]$	$34$	$[2, 2, 2, 2]$	$1$
34.2-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[34,34,w^3 - w^2 - 3 w]$	$34$	$[2, 2, 2, 2]$	$1$
34.2-b	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[34,34,w^3 - w^2 - 3 w]$	$34$	$[2, 2, 2, 2]$	$1$
34.3-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[34,34,-w^3 - w^2 + 3 w]$	$34$	$[2, 2, 2, 2]$	$1$
34.3-b	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[34,34,-w^3 - w^2 + 3 w]$	$34$	$[2, 2, 2, 2]$	$1$
34.4-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[34,34,w^2 + w - 4]$	$34$	$[2, 2, 2, 2]$	$1$
34.4-b	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[34,34,w^2 + w - 4]$	$34$	$[2, 2, 2, 2]$	$1$
47.1-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[47, 47, -2 w^3 + w^2 + 5 w - 1]$	$47$	$[2, 2, 2, 2]$	$2$
47.2-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[47,47,w^3 - w^2 - 5 w + 3]$	$47$	$[2, 2, 2, 2]$	$2$
47.3-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[47,47,-w^3 - w^2 + 5 w + 3]$	$47$	$[2, 2, 2, 2]$	$2$
47.4-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[47,47,2 w^3 + w^2 - 5 w - 1]$	$47$	$[2, 2, 2, 2]$	$2$
49.1-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[49, 7, w^2 + 1]$	$49$	$[2, 2, 2, 2]$	$6$		✓
49.2-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[49,7,-w^2 + 5]$	$49$	$[2, 2, 2, 2]$	$6$		✓
62.1-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[62, 62, w^3 + w^2 - 5 w - 2]$	$62$	$[2, 2, 2, 2]$	$1$
62.1-b	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[62, 62, w^3 + w^2 - 5 w - 2]$	$62$	$[2, 2, 2, 2]$	$2$
62.2-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[62,62,-2 w^3 - w^2 + 5 w + 2]$	$62$	$[2, 2, 2, 2]$	$1$
62.2-b	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[62,62,-2 w^3 - w^2 + 5 w + 2]$	$62$	$[2, 2, 2, 2]$	$2$
62.3-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[62,62,2 w^3 - w^2 - 5 w + 2]$	$62$	$[2, 2, 2, 2]$	$1$
62.3-b	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[62,62,2 w^3 - w^2 - 5 w + 2]$	$62$	$[2, 2, 2, 2]$	$2$
62.4-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[62,62,-w^3 + w^2 + 5 w - 2]$	$62$	$[2, 2, 2, 2]$	$1$
62.4-b	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[62,62,-w^3 + w^2 + 5 w - 2]$	$62$	$[2, 2, 2, 2]$	$2$
64.1-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[64, 4, 2 w^2 - 4]$	$64$	$[2, 2, 2, 2]$	$1$	✓	✓
64.1-b	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[64, 4, 2 w^2 - 4]$	$64$	$[2, 2, 2, 2]$	$2$	✓	✓
68.1-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[68, 34, -w^3 + w^2 + 2 w - 4]$	$68$	$[2, 2, 2, 2]$	$1$
68.2-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[68,34,w^3 - w^2 - 4 w]$	$68$	$[2, 2, 2, 2]$	$1$
68.3-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[68,34,-w^3 - w^2 + 4 w]$	$68$	$[2, 2, 2, 2]$	$1$
68.4-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[68,34,w^3 + w^2 - 2 w - 4]$	$68$	$[2, 2, 2, 2]$	$1$
79.1-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[79, 79, -w^3 - w^2 + 4 w - 1]$	$79$	$[2, 2, 2, 2]$	$1$
79.1-b	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[79, 79, -w^3 - w^2 + 4 w - 1]$	$79$	$[2, 2, 2, 2]$	$5$
79.2-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[79,79,-w^3 + w^2 + 2 w - 5]$	$79$	$[2, 2, 2, 2]$	$1$
79.2-b	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[79,79,-w^3 + w^2 + 2 w - 5]$	$79$	$[2, 2, 2, 2]$	$5$
79.3-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[79,79,w^3 + w^2 - 2 w - 5]$	$79$	$[2, 2, 2, 2]$	$1$
79.3-b	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[79,79,w^3 + w^2 - 2 w - 5]$	$79$	$[2, 2, 2, 2]$	$5$
79.4-a	\(\Q(\zeta_{16})^+\)	$4$	$2048$	$[79,79,w^3 - w^2 - 4 w - 1]$	$79$	$[2, 2, 2, 2]$	$1$

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