Hilbert modular form search results

Results (1-50 of 6525 matches)

 

Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	CM	Base change
11.1-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[11, 11, w^{4} + w^{3} - 4w^{2} - 3w + 2]$	$11$	$[2, 2, 2, 2, 2]$	$1$		✓
23.1-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[23, 23, -w^{4} + 3w^{2} + 1]$	$23$	$[2, 2, 2, 2, 2]$	$1$
23.2-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[23,23,w^{4} - 3w^{2} - w + 2]$	$23$	$[2, 2, 2, 2, 2]$	$1$
23.3-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[23,23,w^{4} - w^{3} - 3w^{2} + 3w + 2]$	$23$	$[2, 2, 2, 2, 2]$	$1$
23.4-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[23,23,-w^{4} + w^{3} + 4w^{2} - 3w - 1]$	$23$	$[2, 2, 2, 2, 2]$	$1$
23.5-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[23,23,-w^{2} + w + 3]$	$23$	$[2, 2, 2, 2, 2]$	$1$
32.1-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[32, 2, 2]$	$32$	$[2, 2, 2, 2, 2]$	$2$		✓
43.1-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[43, 43, -2w^{4} + w^{3} + 6w^{2} - 2w - 1]$	$43$	$[2, 2, 2, 2, 2]$	$1$
43.1-b	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[43, 43, -2w^{4} + w^{3} + 6w^{2} - 2w - 1]$	$43$	$[2, 2, 2, 2, 2]$	$1$
43.2-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[43,43,w^{4} - 2w^{2} - w - 1]$	$43$	$[2, 2, 2, 2, 2]$	$1$
43.2-b	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[43,43,w^{4} - 2w^{2} - w - 1]$	$43$	$[2, 2, 2, 2, 2]$	$1$
43.3-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[43,43,-w^{3} - w^{2} + 4w + 2]$	$43$	$[2, 2, 2, 2, 2]$	$1$
43.3-b	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[43,43,-w^{3} - w^{2} + 4w + 2]$	$43$	$[2, 2, 2, 2, 2]$	$1$
43.4-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[43,43,2w^{4} - w^{3} - 7w^{2} + 3w + 3]$	$43$	$[2, 2, 2, 2, 2]$	$1$
43.4-b	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[43,43,2w^{4} - w^{3} - 7w^{2} + 3w + 3]$	$43$	$[2, 2, 2, 2, 2]$	$1$
43.5-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[43,43,-w^{4} + w^{3} + 4w^{2} - 4w - 2]$	$43$	$[2, 2, 2, 2, 2]$	$1$
43.5-b	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[43,43,-w^{4} + w^{3} + 4w^{2} - 4w - 2]$	$43$	$[2, 2, 2, 2, 2]$	$1$
67.1-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[67, 67, 2w^{4} - 7w^{2} + 2]$	$67$	$[2, 2, 2, 2, 2]$	$2$
67.2-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[67,67,2w^{2} - w - 4]$	$67$	$[2, 2, 2, 2, 2]$	$2$
67.3-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[67,67,-w^{4} + w^{3} + 3w^{2} - 4w - 1]$	$67$	$[2, 2, 2, 2, 2]$	$2$
67.4-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[67,67,w^{4} - 2w^{3} - 4w^{2} + 6w + 2]$	$67$	$[2, 2, 2, 2, 2]$	$2$
67.5-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[67,67,-2w^{4} + w^{3} + 6w^{2} - w - 2]$	$67$	$[2, 2, 2, 2, 2]$	$2$
89.1-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[89, 89, w^{3} + w^{2} - 4w - 1]$	$89$	$[2, 2, 2, 2, 2]$	$3$
89.2-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[89,89,-2w^{4} + w^{3} + 7w^{2} - 3w - 2]$	$89$	$[2, 2, 2, 2, 2]$	$3$
89.3-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[89,89,w^{4} - w^{3} - 4w^{2} + 4w + 3]$	$89$	$[2, 2, 2, 2, 2]$	$3$
89.4-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[89,89,-w^{4} + 2w^{2} + w + 2]$	$89$	$[2, 2, 2, 2, 2]$	$3$
89.5-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[89,89,2w^{4} - w^{3} - 6w^{2} + 2w + 2]$	$89$	$[2, 2, 2, 2, 2]$	$3$
17.1-a	5.5.24217.1	$5$	$24217$	$[17, 17, -2w^{4} + w^{3} + 9w^{2} - 3w - 5]$	$17$	$[2, 2, 2, 2, 2]$	$1$
17.2-a	5.5.24217.1	$5$	$24217$	$[17, 17, w^{2} - 2]$	$17$	$[2, 2, 2, 2, 2]$	$1$
23.1-a	5.5.24217.1	$5$	$24217$	$[23, 23, w^{3} - 3w]$	$23$	$[2, 2, 2, 2, 2]$	$1$
23.1-b	5.5.24217.1	$5$	$24217$	$[23, 23, w^{3} - 3w]$	$23$	$[2, 2, 2, 2, 2]$	$2$
25.1-a	5.5.24217.1	$5$	$24217$	$[25, 25, 2w^{4} - w^{3} - 10w^{2} + 2w + 7]$	$25$	$[2, 2, 2, 2, 2]$	$2$
29.1-a	5.5.24217.1	$5$	$24217$	$[29, 29, 2w^{4} - w^{3} - 10w^{2} + 2w + 4]$	$29$	$[2, 2, 2, 2, 2]$	$1$
29.1-b	5.5.24217.1	$5$	$24217$	$[29, 29, 2w^{4} - w^{3} - 10w^{2} + 2w + 4]$	$29$	$[2, 2, 2, 2, 2]$	$1$
32.1-a	5.5.24217.1	$5$	$24217$	$[32, 2, 2]$	$32$	$[2, 2, 2, 2, 2]$	$3$
37.1-a	5.5.24217.1	$5$	$24217$	$[37, 37, -w^{4} + w^{3} + 4w^{2} - 2w]$	$37$	$[2, 2, 2, 2, 2]$	$1$
37.1-b	5.5.24217.1	$5$	$24217$	$[37, 37, -w^{4} + w^{3} + 4w^{2} - 2w]$	$37$	$[2, 2, 2, 2, 2]$	$1$
41.1-a	5.5.24217.1	$5$	$24217$	$[41, 41, -3w^{4} + 2w^{3} + 14w^{2} - 5w - 7]$	$41$	$[2, 2, 2, 2, 2]$	$3$
43.1-a	5.5.24217.1	$5$	$24217$	$[43, 43, -3w^{4} + w^{3} + 14w^{2} - 3w - 6]$	$43$	$[2, 2, 2, 2, 2]$	$1$
43.1-b	5.5.24217.1	$5$	$24217$	$[43, 43, -3w^{4} + w^{3} + 14w^{2} - 3w - 6]$	$43$	$[2, 2, 2, 2, 2]$	$1$
43.1-c	5.5.24217.1	$5$	$24217$	$[43, 43, -3w^{4} + w^{3} + 14w^{2} - 3w - 6]$	$43$	$[2, 2, 2, 2, 2]$	$2$
47.1-a	5.5.24217.1	$5$	$24217$	$[47, 47, -3w^{4} + 2w^{3} + 14w^{2} - 7w - 6]$	$47$	$[2, 2, 2, 2, 2]$	$1$
47.1-b	5.5.24217.1	$5$	$24217$	$[47, 47, -3w^{4} + 2w^{3} + 14w^{2} - 7w - 6]$	$47$	$[2, 2, 2, 2, 2]$	$4$
53.1-a	5.5.24217.1	$5$	$24217$	$[53, 53, 2w^{4} - w^{3} - 8w^{2} + 2w + 1]$	$53$	$[2, 2, 2, 2, 2]$	$4$
53.2-a	5.5.24217.1	$5$	$24217$	$[53, 53, -2w^{4} + w^{3} + 10w^{2} - 4w - 6]$	$53$	$[2, 2, 2, 2, 2]$	$1$
53.2-b	5.5.24217.1	$5$	$24217$	$[53, 53, -2w^{4} + w^{3} + 10w^{2} - 4w - 6]$	$53$	$[2, 2, 2, 2, 2]$	$3$
59.1-a	5.5.24217.1	$5$	$24217$	$[59, 59, -w^{4} + 4w^{2} + 1]$	$59$	$[2, 2, 2, 2, 2]$	$1$
59.1-b	5.5.24217.1	$5$	$24217$	$[59, 59, -w^{4} + 4w^{2} + 1]$	$59$	$[2, 2, 2, 2, 2]$	$5$
59.2-a	5.5.24217.1	$5$	$24217$	$[59, 59, -3w^{4} + 2w^{3} + 14w^{2} - 6w - 8]$	$59$	$[2, 2, 2, 2, 2]$	$2$
59.2-b	5.5.24217.1	$5$	$24217$	$[59, 59, -3w^{4} + 2w^{3} + 14w^{2} - 6w - 8]$	$59$	$[2, 2, 2, 2, 2]$	$4$