Hilbert modular form search results

Results (1-50 of 667 matches)

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Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	CM	Base change
1.1-a	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$1$	✓	✓
1.1-b	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$1$	✓	✓
1.1-c	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$1$	✓	✓
1.1-d	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$2$		✓
4.1-a	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[4, 2, \frac{1}{4} w^3 - \frac{1}{2} w^2 - \frac{11}{4} w + 5]$	$4$	$[2, 2, 2, 2]$	$2$
4.2-a	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[4,2,-\frac{1}{8} w^3 + \frac{1}{2} w^2 + \frac{5}{8} w - \frac{3}{2}]$	$4$	$[2, 2, 2, 2]$	$2$
9.1-a	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[9, 3, -\frac{1}{8} w^3 + \frac{17}{8} w + \frac{3}{2}]$	$9$	$[2, 2, 2, 2]$	$2$		✓
9.1-b	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[9, 3, -\frac{1}{8} w^3 + \frac{17}{8} w + \frac{3}{2}]$	$9$	$[2, 2, 2, 2]$	$2$		✓
9.1-c	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[9, 3, -\frac{1}{8} w^3 + \frac{17}{8} w + \frac{3}{2}]$	$9$	$[2, 2, 2, 2]$	$2$		✓
9.1-d	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[9, 3, -\frac{1}{8} w^3 + \frac{17}{8} w + \frac{3}{2}]$	$9$	$[2, 2, 2, 2]$	$4$		✓
16.1-a	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$		✓
16.1-b	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$		✓
16.1-c	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$		✓
16.1-d	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$		✓
16.1-e	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$		✓
16.1-f	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$		✓
16.1-g	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$4$		✓
16.2-a	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16, 4, -w]$	$16$	$[2, 2, 2, 2]$	$1$	✓	✓
16.2-b	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16, 4, -w]$	$16$	$[2, 2, 2, 2]$	$2$
16.2-c	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16, 4, -w]$	$16$	$[2, 2, 2, 2]$	$2$
16.2-d	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16, 4, -w]$	$16$	$[2, 2, 2, 2]$	$4$
16.2-e	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16, 4, -w]$	$16$	$[2, 2, 2, 2]$	$4$
16.3-a	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16,4,\frac{1}{4} w^3 - \frac{13}{4} w]$	$16$	$[2, 2, 2, 2]$	$1$	✓	✓
16.3-b	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16,4,\frac{1}{4} w^3 - \frac{13}{4} w]$	$16$	$[2, 2, 2, 2]$	$2$
16.3-c	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16,4,\frac{1}{4} w^3 - \frac{13}{4} w]$	$16$	$[2, 2, 2, 2]$	$2$
16.3-d	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16,4,\frac{1}{4} w^3 - \frac{13}{4} w]$	$16$	$[2, 2, 2, 2]$	$4$
16.3-e	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[16,4,\frac{1}{4} w^3 - \frac{13}{4} w]$	$16$	$[2, 2, 2, 2]$	$4$
20.1-a	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20, 10, -w - 2]$	$20$	$[2, 2, 2, 2]$	$1$
20.1-b	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20, 10, -w - 2]$	$20$	$[2, 2, 2, 2]$	$1$
20.1-c	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20, 10, -w - 2]$	$20$	$[2, 2, 2, 2]$	$1$
20.1-d	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20, 10, -w - 2]$	$20$	$[2, 2, 2, 2]$	$1$
20.1-e	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20, 10, -w - 2]$	$20$	$[2, 2, 2, 2]$	$2$
20.1-f	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20, 10, -w - 2]$	$20$	$[2, 2, 2, 2]$	$2$
20.1-g	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20, 10, -w - 2]$	$20$	$[2, 2, 2, 2]$	$3$
20.1-h	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20, 10, -w - 2]$	$20$	$[2, 2, 2, 2]$	$3$
20.2-a	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20,10,-\frac{1}{4} w^3 + \frac{13}{4} w - 2]$	$20$	$[2, 2, 2, 2]$	$1$
20.2-b	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20,10,-\frac{1}{4} w^3 + \frac{13}{4} w - 2]$	$20$	$[2, 2, 2, 2]$	$1$
20.2-c	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20,10,-\frac{1}{4} w^3 + \frac{13}{4} w - 2]$	$20$	$[2, 2, 2, 2]$	$1$
20.2-d	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20,10,-\frac{1}{4} w^3 + \frac{13}{4} w - 2]$	$20$	$[2, 2, 2, 2]$	$1$
20.2-e	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20,10,-\frac{1}{4} w^3 + \frac{13}{4} w - 2]$	$20$	$[2, 2, 2, 2]$	$2$
20.2-f	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20,10,-\frac{1}{4} w^3 + \frac{13}{4} w - 2]$	$20$	$[2, 2, 2, 2]$	$2$
20.2-g	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20,10,-\frac{1}{4} w^3 + \frac{13}{4} w - 2]$	$20$	$[2, 2, 2, 2]$	$3$
20.2-h	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20,10,-\frac{1}{4} w^3 + \frac{13}{4} w - 2]$	$20$	$[2, 2, 2, 2]$	$3$
20.3-a	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20,10,\frac{1}{4} w^3 - \frac{13}{4} w - 2]$	$20$	$[2, 2, 2, 2]$	$1$
20.3-b	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20,10,\frac{1}{4} w^3 - \frac{13}{4} w - 2]$	$20$	$[2, 2, 2, 2]$	$1$
20.3-c	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20,10,\frac{1}{4} w^3 - \frac{13}{4} w - 2]$	$20$	$[2, 2, 2, 2]$	$1$
20.3-d	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20,10,\frac{1}{4} w^3 - \frac{13}{4} w - 2]$	$20$	$[2, 2, 2, 2]$	$1$
20.3-e	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20,10,\frac{1}{4} w^3 - \frac{13}{4} w - 2]$	$20$	$[2, 2, 2, 2]$	$2$
20.3-f	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20,10,\frac{1}{4} w^3 - \frac{13}{4} w - 2]$	$20$	$[2, 2, 2, 2]$	$2$
20.3-g	\(\Q(\sqrt{5}, \sqrt{21})\)	$4$	$11025$	$[20,10,\frac{1}{4} w^3 - \frac{13}{4} w - 2]$	$20$	$[2, 2, 2, 2]$	$3$

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