Hilbert modular form search results

Results (1-50 of 626 matches)

 

Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	CM	Base change
1.1-a	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2, 2, 2]$	$1$	✓	✓
7.1-a	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[7, 7, -w^{5} + 5w^{3} - 5w - 1]$	$7$	$[2, 2, 2, 2, 2, 2]$	$2$		✓
27.1-a	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[27, 3, -2w^{5} + 10w^{3} - w^{2} - 10w + 2]$	$27$	$[2, 2, 2, 2, 2, 2]$	$1$		✓
27.1-b	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[27, 3, -2w^{5} + 10w^{3} - w^{2} - 10w + 2]$	$27$	$[2, 2, 2, 2, 2, 2]$	$1$		✓
41.1-a	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41, 41, -w^{5} + 6w^{3} - w^{2} - 7w + 2]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.1-b	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41, 41, -w^{5} + 6w^{3} - w^{2} - 7w + 2]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.1-c	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41, 41, -w^{5} + 6w^{3} - w^{2} - 7w + 2]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.1-d	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41, 41, -w^{5} + 6w^{3} - w^{2} - 7w + 2]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.2-a	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,w^{4} - w^{3} - 4w^{2} + 3w + 1]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.2-b	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,w^{4} - w^{3} - 4w^{2} + 3w + 1]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.2-c	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,w^{4} - w^{3} - 4w^{2} + 3w + 1]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.2-d	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,w^{4} - w^{3} - 4w^{2} + 3w + 1]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.3-a	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,-2w^{5} + 12w^{3} - 2w^{2} - 17w + 5]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.3-b	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,-2w^{5} + 12w^{3} - 2w^{2} - 17w + 5]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.3-c	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,-2w^{5} + 12w^{3} - 2w^{2} - 17w + 5]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.3-d	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,-2w^{5} + 12w^{3} - 2w^{2} - 17w + 5]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.4-a	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,w^{5} - 5w^{3} + 2w^{2} + 5w - 5]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.4-b	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,w^{5} - 5w^{3} + 2w^{2} + 5w - 5]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.4-c	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,w^{5} - 5w^{3} + 2w^{2} + 5w - 5]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.4-d	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,w^{5} - 5w^{3} + 2w^{2} + 5w - 5]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.5-a	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,-w^{4} - 2w^{3} + 4w^{2} + 6w - 3]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.5-b	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,-w^{4} - 2w^{3} + 4w^{2} + 6w - 3]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.5-c	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,-w^{4} - 2w^{3} + 4w^{2} + 6w - 3]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.5-d	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,-w^{4} - 2w^{3} + 4w^{2} + 6w - 3]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.6-a	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,2w^{5} - 10w^{3} + w^{2} + 10w - 3]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.6-b	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,2w^{5} - 10w^{3} + w^{2} + 10w - 3]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.6-c	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,2w^{5} - 10w^{3} + w^{2} + 10w - 3]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
41.6-d	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[41,41,2w^{5} - 10w^{3} + w^{2} + 10w - 3]$	$41$	$[2, 2, 2, 2, 2, 2]$	$1$
43.1-a	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43, 43, -w^{5} + w^{4} + 6w^{3} - 5w^{2} - 9w + 4]$	$43$	$[2, 2, 2, 2, 2, 2]$	$1$
43.1-b	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43, 43, -w^{5} + w^{4} + 6w^{3} - 5w^{2} - 9w + 4]$	$43$	$[2, 2, 2, 2, 2, 2]$	$1$
43.1-c	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43, 43, -w^{5} + w^{4} + 6w^{3} - 5w^{2} - 9w + 4]$	$43$	$[2, 2, 2, 2, 2, 2]$	$2$
43.1-d	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43, 43, -w^{5} + w^{4} + 6w^{3} - 5w^{2} - 9w + 4]$	$43$	$[2, 2, 2, 2, 2, 2]$	$2$
43.1-e	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43, 43, -w^{5} + w^{4} + 6w^{3} - 5w^{2} - 9w + 4]$	$43$	$[2, 2, 2, 2, 2, 2]$	$2$
43.2-a	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,-w^{4} - w^{3} + 4w^{2} + 4w - 3]$	$43$	$[2, 2, 2, 2, 2, 2]$	$1$
43.2-b	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,-w^{4} - w^{3} + 4w^{2} + 4w - 3]$	$43$	$[2, 2, 2, 2, 2, 2]$	$1$
43.2-c	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,-w^{4} - w^{3} + 4w^{2} + 4w - 3]$	$43$	$[2, 2, 2, 2, 2, 2]$	$2$
43.2-d	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,-w^{4} - w^{3} + 4w^{2} + 4w - 3]$	$43$	$[2, 2, 2, 2, 2, 2]$	$2$
43.2-e	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,-w^{4} - w^{3} + 4w^{2} + 4w - 3]$	$43$	$[2, 2, 2, 2, 2, 2]$	$2$
43.3-a	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,w^{4} - 3w^{2} - 1]$	$43$	$[2, 2, 2, 2, 2, 2]$	$1$
43.3-b	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,w^{4} - 3w^{2} - 1]$	$43$	$[2, 2, 2, 2, 2, 2]$	$1$
43.3-c	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,w^{4} - 3w^{2} - 1]$	$43$	$[2, 2, 2, 2, 2, 2]$	$2$
43.3-d	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,w^{4} - 3w^{2} - 1]$	$43$	$[2, 2, 2, 2, 2, 2]$	$2$
43.3-e	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,w^{4} - 3w^{2} - 1]$	$43$	$[2, 2, 2, 2, 2, 2]$	$2$
43.4-a	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,w^{3} - w^{2} - 4w + 2]$	$43$	$[2, 2, 2, 2, 2, 2]$	$1$
43.4-b	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,w^{3} - w^{2} - 4w + 2]$	$43$	$[2, 2, 2, 2, 2, 2]$	$1$
43.4-c	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,w^{3} - w^{2} - 4w + 2]$	$43$	$[2, 2, 2, 2, 2, 2]$	$2$
43.4-d	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,w^{3} - w^{2} - 4w + 2]$	$43$	$[2, 2, 2, 2, 2, 2]$	$2$
43.4-e	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,w^{3} - w^{2} - 4w + 2]$	$43$	$[2, 2, 2, 2, 2, 2]$	$2$
43.5-a	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,w^{5} - w^{4} - 6w^{3} + 4w^{2} + 8w - 3]$	$43$	$[2, 2, 2, 2, 2, 2]$	$1$
43.5-b	\(\Q(\zeta_{21})^+\)	$6$	$453789$	$[43,43,w^{5} - w^{4} - 6w^{3} + 4w^{2} + 8w - 3]$	$43$	$[2, 2, 2, 2, 2, 2]$	$1$