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 1285 matches)

Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	CM	Base change
16.1-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$		✓
25.1-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[25, 5, -2w^{3} + 6w - 1]$	$25$	$[2, 2, 2, 2]$	$1$	✓	✓
25.1-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[25, 5, -2w^{3} + 6w - 1]$	$25$	$[2, 2, 2, 2]$	$1$	✓	✓
31.1-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[31, 31, -2w + 1]$	$31$	$[2, 2, 2, 2]$	$1$
31.1-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[31, 31, -2w + 1]$	$31$	$[2, 2, 2, 2]$	$1$
31.2-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[31,31,-2w^{2} + 5]$	$31$	$[2, 2, 2, 2]$	$1$
31.2-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[31,31,-2w^{2} + 5]$	$31$	$[2, 2, 2, 2]$	$1$
31.3-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[31,31,2w^{3} + 2w^{2} - 6w - 3]$	$31$	$[2, 2, 2, 2]$	$1$
31.3-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[31,31,2w^{3} + 2w^{2} - 6w - 3]$	$31$	$[2, 2, 2, 2]$	$1$
31.4-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[31,31,-2w^{3} + 8w - 1]$	$31$	$[2, 2, 2, 2]$	$1$
31.4-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[31,31,-2w^{3} + 8w - 1]$	$31$	$[2, 2, 2, 2]$	$1$
45.1-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[45, 15, w^{3} + 2w^{2} - 3w - 4]$	$45$	$[2, 2, 2, 2]$	$1$		✓
45.1-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[45, 15, w^{3} + 2w^{2} - 3w - 4]$	$45$	$[2, 2, 2, 2]$	$1$		✓
61.1-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[61, 61, 4w^{3} + w^{2} - 13w - 1]$	$61$	$[2, 2, 2, 2]$	$2$
61.1-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[61, 61, 4w^{3} + w^{2} - 13w - 1]$	$61$	$[2, 2, 2, 2]$	$2$
61.2-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[61,61,2w^{3} - w^{2} - 5w + 2]$	$61$	$[2, 2, 2, 2]$	$2$
61.2-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[61,61,2w^{3} - w^{2} - 5w + 2]$	$61$	$[2, 2, 2, 2]$	$2$
61.3-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[61,61,-3w^{3} - w^{2} + 8w]$	$61$	$[2, 2, 2, 2]$	$2$
61.3-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[61,61,-3w^{3} - w^{2} + 8w]$	$61$	$[2, 2, 2, 2]$	$2$
61.4-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[61,61,-3w^{3} + w^{2} + 10w - 5]$	$61$	$[2, 2, 2, 2]$	$2$
61.4-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[61,61,-3w^{3} + w^{2} + 10w - 5]$	$61$	$[2, 2, 2, 2]$	$2$
81.1-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[81, 3, -3]$	$81$	$[2, 2, 2, 2]$	$1$	✓	✓
81.1-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[81, 3, -3]$	$81$	$[2, 2, 2, 2]$	$2$	✓	✓
81.1-c	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[81, 3, -3]$	$81$	$[2, 2, 2, 2]$	$2$		✓
89.1-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[89, 89, w^{3} + w^{2} - w - 4]$	$89$	$[2, 2, 2, 2]$	$1$
89.1-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[89, 89, w^{3} + w^{2} - w - 4]$	$89$	$[2, 2, 2, 2]$	$1$
89.2-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[89,89,2w^{2} - w - 6]$	$89$	$[2, 2, 2, 2]$	$1$
89.2-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[89,89,2w^{2} - w - 6]$	$89$	$[2, 2, 2, 2]$	$1$
89.3-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[89,89,-3w^{3} - 2w^{2} + 10w + 1]$	$89$	$[2, 2, 2, 2]$	$1$
89.3-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[89,89,-3w^{3} - 2w^{2} + 10w + 1]$	$89$	$[2, 2, 2, 2]$	$1$
89.4-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[89,89,2w^{3} - w^{2} - 8w + 2]$	$89$	$[2, 2, 2, 2]$	$1$
89.4-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[89,89,2w^{3} - w^{2} - 8w + 2]$	$89$	$[2, 2, 2, 2]$	$1$
121.1-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[121, 11, -w^{3} + 3w + 3]$	$121$	$[2, 2, 2, 2]$	$6$		✓
121.2-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[121,11,w^{3} - 3w + 4]$	$121$	$[2, 2, 2, 2]$	$6$		✓
144.1-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[144, 6, 2w^{3} + 2w^{2} - 8w - 6]$	$144$	$[2, 2, 2, 2]$	$1$		✓
144.1-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[144, 6, 2w^{3} + 2w^{2} - 8w - 6]$	$144$	$[2, 2, 2, 2]$	$1$		✓
145.1-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[145, 145, w^{2} - 6]$	$145$	$[2, 2, 2, 2]$	$1$
145.1-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[145, 145, w^{2} - 6]$	$145$	$[2, 2, 2, 2]$	$1$
145.1-c	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[145, 145, w^{2} - 6]$	$145$	$[2, 2, 2, 2]$	$1$
145.1-d	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[145, 145, w^{2} - 6]$	$145$	$[2, 2, 2, 2]$	$1$
145.1-e	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[145, 145, w^{2} - 6]$	$145$	$[2, 2, 2, 2]$	$1$
145.1-f	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[145, 145, w^{2} - 6]$	$145$	$[2, 2, 2, 2]$	$1$
145.2-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[145,145,w^{3} - 4w - 3]$	$145$	$[2, 2, 2, 2]$	$1$
145.2-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[145,145,w^{3} - 4w - 3]$	$145$	$[2, 2, 2, 2]$	$1$
145.2-c	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[145,145,w^{3} - 4w - 3]$	$145$	$[2, 2, 2, 2]$	$1$
145.2-d	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[145,145,w^{3} - 4w - 3]$	$145$	$[2, 2, 2, 2]$	$1$
145.2-e	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[145,145,w^{3} - 4w - 3]$	$145$	$[2, 2, 2, 2]$	$1$
145.2-f	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[145,145,w^{3} - 4w - 3]$	$145$	$[2, 2, 2, 2]$	$1$
145.3-a	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[145,145,-w^{3} - w^{2} + 3w - 2]$	$145$	$[2, 2, 2, 2]$	$1$
145.3-b	\(\Q(\zeta_{15})^+\)	$4$	$1125$	$[145,145,-w^{3} - w^{2} + 3w - 2]$	$145$	$[2, 2, 2, 2]$	$1$