Hilbert modular form search results

Results (1-50 of 1612 matches)

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	CM	Base change
1.1-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$1$		✓
16.1-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$		✓
25.1-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[25, 5, w^2 - 3]$	$25$	$[2, 2, 2, 2]$	$2$		✓
31.1-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[31, 31, \frac{1}{2} w^3 + \frac{1}{2} w^2 - 3 w]$	$31$	$[2, 2, 2, 2]$	$1$
31.2-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[31,31,-\frac{1}{2} w^2 - w + 3]$	$31$	$[2, 2, 2, 2]$	$1$
31.3-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[31,31,-\frac{1}{2} w^2 + w + 3]$	$31$	$[2, 2, 2, 2]$	$1$
31.4-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[31,31,-\frac{1}{2} w^3 + \frac{1}{2} w^2 + 3 w]$	$31$	$[2, 2, 2, 2]$	$1$
36.1-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[36, 6, -w^3 + 5 w + 2]$	$36$	$[2, 2, 2, 2]$	$1$		✓
36.1-b	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[36, 6, -w^3 + 5 w + 2]$	$36$	$[2, 2, 2, 2]$	$1$		✓
36.2-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[36,6,w^3 - 5 w + 2]$	$36$	$[2, 2, 2, 2]$	$1$		✓
36.2-b	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[36,6,w^3 - 5 w + 2]$	$36$	$[2, 2, 2, 2]$	$1$		✓
41.1-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[41, 41, \frac{1}{2} w^3 - w^2 - w + 3]$	$41$	$[2, 2, 2, 2]$	$2$
41.2-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[41,41,w^3 + w^2 - 5 w - 3]$	$41$	$[2, 2, 2, 2]$	$2$
41.3-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[41,41,-w^3 + w^2 + 5 w - 3]$	$41$	$[2, 2, 2, 2]$	$2$
41.4-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[41,41,-\frac{1}{2} w^3 - w^2 + w + 3]$	$41$	$[2, 2, 2, 2]$	$2$
49.1-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[49,7,-\frac{1}{2} w^3 + 2 w - 3]$	$49$	$[2, 2, 2, 2]$	$3$		✓
49.2-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[49, 7, \frac{1}{2} w^3 - 2 w - 3]$	$49$	$[2, 2, 2, 2]$	$3$		✓
64.1-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[64, 4, w^3 - 4 w]$	$64$	$[2, 2, 2, 2]$	$1$		✓
71.1-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[71, 71, \frac{1}{2} w^3 + \frac{1}{2} w^2 - 2 w - 5]$	$71$	$[2, 2, 2, 2]$	$1$
71.1-b	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[71, 71, \frac{1}{2} w^3 + \frac{1}{2} w^2 - 2 w - 5]$	$71$	$[2, 2, 2, 2]$	$1$
71.2-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[71,71,\frac{1}{2} w^3 - \frac{1}{2} w^2 - 2 w - 2]$	$71$	$[2, 2, 2, 2]$	$1$
71.2-b	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[71,71,\frac{1}{2} w^3 - \frac{1}{2} w^2 - 2 w - 2]$	$71$	$[2, 2, 2, 2]$	$1$
71.3-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[71,71,-\frac{1}{2} w^3 - \frac{1}{2} w^2 + 2 w - 2]$	$71$	$[2, 2, 2, 2]$	$1$
71.3-b	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[71,71,-\frac{1}{2} w^3 - \frac{1}{2} w^2 + 2 w - 2]$	$71$	$[2, 2, 2, 2]$	$1$
71.4-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[71,71,-\frac{1}{2} w^3 + \frac{1}{2} w^2 + 2 w - 5]$	$71$	$[2, 2, 2, 2]$	$1$
71.4-b	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[71,71,-\frac{1}{2} w^3 + \frac{1}{2} w^2 + 2 w - 5]$	$71$	$[2, 2, 2, 2]$	$1$
79.1-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[79, 79, \frac{1}{2} w^3 + \frac{3}{2} w^2 - 2 w - 4]$	$79$	$[2, 2, 2, 2]$	$3$
79.2-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[79,79,-\frac{1}{2} w^3 - \frac{3}{2} w^2 + 2 w + 5]$	$79$	$[2, 2, 2, 2]$	$3$
79.3-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[79,79,\frac{1}{2} w^3 - \frac{3}{2} w^2 - 2 w + 5]$	$79$	$[2, 2, 2, 2]$	$3$
79.4-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[79,79,-\frac{1}{2} w^3 + \frac{3}{2} w^2 + 2 w - 4]$	$79$	$[2, 2, 2, 2]$	$3$
81.1-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[81, 3, 3]$	$81$	$[2, 2, 2, 2]$	$1$		✓
81.1-b	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[81, 3, 3]$	$81$	$[2, 2, 2, 2]$	$1$		✓
81.1-c	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[81, 3, 3]$	$81$	$[2, 2, 2, 2]$	$3$		✓
81.2-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[81, 9, -\frac{1}{2} w^3 + 4 w - 1]$	$81$	$[2, 2, 2, 2]$	$1$		✓
81.2-b	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[81, 9, -\frac{1}{2} w^3 + 4 w - 1]$	$81$	$[2, 2, 2, 2]$	$1$		✓
81.2-c	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[81, 9, -\frac{1}{2} w^3 + 4 w - 1]$	$81$	$[2, 2, 2, 2]$	$1$		✓
81.3-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[81,9,\frac{1}{2} w^3 - 4 w - 1]$	$81$	$[2, 2, 2, 2]$	$1$		✓
81.3-b	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[81,9,\frac{1}{2} w^3 - 4 w - 1]$	$81$	$[2, 2, 2, 2]$	$1$		✓
81.3-c	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[81,9,\frac{1}{2} w^3 - 4 w - 1]$	$81$	$[2, 2, 2, 2]$	$1$		✓
89.1-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[89, 89, w^2 + w - 5]$	$89$	$[2, 2, 2, 2]$	$1$
89.1-b	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[89, 89, w^2 + w - 5]$	$89$	$[2, 2, 2, 2]$	$1$
89.1-c	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[89, 89, w^2 + w - 5]$	$89$	$[2, 2, 2, 2]$	$2$
89.2-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[89,89,-\frac{1}{2} w^3 - w^2 + 3 w + 1]$	$89$	$[2, 2, 2, 2]$	$1$
89.2-b	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[89,89,-\frac{1}{2} w^3 - w^2 + 3 w + 1]$	$89$	$[2, 2, 2, 2]$	$1$
89.2-c	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[89,89,-\frac{1}{2} w^3 - w^2 + 3 w + 1]$	$89$	$[2, 2, 2, 2]$	$2$
89.3-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[89,89,\frac{1}{2} w^3 - w^2 - 3 w + 1]$	$89$	$[2, 2, 2, 2]$	$1$
89.3-b	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[89,89,\frac{1}{2} w^3 - w^2 - 3 w + 1]$	$89$	$[2, 2, 2, 2]$	$1$
89.3-c	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[89,89,\frac{1}{2} w^3 - w^2 - 3 w + 1]$	$89$	$[2, 2, 2, 2]$	$2$
89.4-a	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[89,89,w^2 - w - 5]$	$89$	$[2, 2, 2, 2]$	$1$
89.4-b	\(\Q(\sqrt{2}, \sqrt{5})\)	$4$	$1600$	$[89,89,w^2 - w - 5]$	$89$	$[2, 2, 2, 2]$	$1$

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