Hilbert modular form search results

Base field	Base field degree	Base field discriminant	CM	Field bad primes
Weight	Level norm	Dimension	Base change	Level bad primes

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Results (1-50 of 1041 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	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[89,89,2w^{4} - w^{3} - 6w^{2} + 2w + 2]$	$89$	$[2, 2, 2, 2, 2]$	$3$
109.1-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[109, 109, -w^{3} + 2w^{2} + 3w - 3]$	$109$	$[2, 2, 2, 2, 2]$	$4$
109.2-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[109,109,w^{4} - 4w^{2} - 2w + 3]$	$109$	$[2, 2, 2, 2, 2]$	$4$
109.3-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[109,109,-2w^{4} + 2w^{3} + 7w^{2} - 4w - 3]$	$109$	$[2, 2, 2, 2, 2]$	$4$
109.4-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[109,109,-2w^{3} + 5w + 1]$	$109$	$[2, 2, 2, 2, 2]$	$4$
109.5-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[109,109,w^{4} + w^{3} - 5w^{2} - 2w + 4]$	$109$	$[2, 2, 2, 2, 2]$	$4$
121.1-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[121, 11, w^{4} + w^{3} - 3w^{2} - 3w - 2]$	$121$	$[2, 2, 2, 2, 2]$	$1$		✓
121.1-b	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[121, 11, w^{4} + w^{3} - 3w^{2} - 3w - 2]$	$121$	$[2, 2, 2, 2, 2]$	$1$	✓	✓
121.1-c	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[121, 11, w^{4} + w^{3} - 3w^{2} - 3w - 2]$	$121$	$[2, 2, 2, 2, 2]$	$1$		✓
121.1-d	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[121, 11, w^{4} + w^{3} - 3w^{2} - 3w - 2]$	$121$	$[2, 2, 2, 2, 2]$	$1$		✓
131.1-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[131, 131, w^{4} - 3w^{3} - 2w^{2} + 7w]$	$131$	$[2, 2, 2, 2, 2]$	$1$
131.1-b	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[131, 131, w^{4} - 3w^{3} - 2w^{2} + 7w]$	$131$	$[2, 2, 2, 2, 2]$	$5$
131.2-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[131,131,-2w^{4} + 9w^{2} + w - 6]$	$131$	$[2, 2, 2, 2, 2]$	$1$
131.2-b	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[131,131,-2w^{4} + 9w^{2} + w - 6]$	$131$	$[2, 2, 2, 2, 2]$	$5$
131.3-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[131,131,w^{4} + 2w^{3} - 5w^{2} - 6w + 4]$	$131$	$[2, 2, 2, 2, 2]$	$1$
131.3-b	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[131,131,w^{4} + 2w^{3} - 5w^{2} - 6w + 4]$	$131$	$[2, 2, 2, 2, 2]$	$5$
131.4-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[131,131,-w^{4} + 2w^{3} + 3w^{2} - 3w - 1]$	$131$	$[2, 2, 2, 2, 2]$	$1$
131.4-b	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[131,131,-w^{4} + 2w^{3} + 3w^{2} - 3w - 1]$	$131$	$[2, 2, 2, 2, 2]$	$5$
131.5-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[131,131,w^{4} - w^{3} - 5w^{2} + w + 5]$	$131$	$[2, 2, 2, 2, 2]$	$1$
131.5-b	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[131,131,w^{4} - w^{3} - 5w^{2} + w + 5]$	$131$	$[2, 2, 2, 2, 2]$	$5$
197.1-a	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[197, 197, 3w^{4} - w^{3} - 10w^{2} + w + 5]$	$197$	$[2, 2, 2, 2, 2]$	$1$
197.1-b	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[197, 197, 3w^{4} - w^{3} - 10w^{2} + w + 5]$	$197$	$[2, 2, 2, 2, 2]$	$1$
197.1-c	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[197, 197, 3w^{4} - w^{3} - 10w^{2} + w + 5]$	$197$	$[2, 2, 2, 2, 2]$	$1$
197.1-d	\(\Q(\zeta_{11})^+\)	$5$	$14641$	$[197, 197, 3w^{4} - w^{3} - 10w^{2} + w + 5]$	$197$	$[2, 2, 2, 2, 2]$	$1$