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 1072 matches)

Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	CM	Base change
1.1-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2, 2, 2]$	$1$		✓
13.1-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[13, 13, w^{5} - 5w^{3} + 4w]$	$13$	$[2, 2, 2, 2, 2, 2]$	$2$		✓
25.1-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[25, 5, w^{5} - 5w^{3} + 6w - 1]$	$25$	$[2, 2, 2, 2, 2, 2]$	$3$		✓
25.2-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[25,5,w^{3} - w^{2} - 3w + 1]$	$25$	$[2, 2, 2, 2, 2, 2]$	$3$		✓
25.3-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[25,5,-w^{5} + 4w^{3} + w^{2} - 3w - 2]$	$25$	$[2, 2, 2, 2, 2, 2]$	$3$		✓
27.1-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[27, 3, w^{4} - w^{3} - 4w^{2} + 2w + 2]$	$27$	$[2, 2, 2, 2, 2, 2]$	$1$		✓
27.1-b	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[27, 3, w^{4} - w^{3} - 4w^{2} + 2w + 2]$	$27$	$[2, 2, 2, 2, 2, 2]$	$1$		✓
27.2-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[27,3,-w^{4} + w^{3} + 4w^{2} - 2w - 3]$	$27$	$[2, 2, 2, 2, 2, 2]$	$1$		✓
27.2-b	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[27,3,-w^{4} + w^{3} + 4w^{2} - 2w - 3]$	$27$	$[2, 2, 2, 2, 2, 2]$	$1$		✓
53.1-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53, 53, -w^{4} + w^{3} + 3w^{2} - 2w + 1]$	$53$	$[2, 2, 2, 2, 2, 2]$	$1$
53.1-b	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53, 53, -w^{4} + w^{3} + 3w^{2} - 2w + 1]$	$53$	$[2, 2, 2, 2, 2, 2]$	$2$
53.1-c	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53, 53, -w^{4} + w^{3} + 3w^{2} - 2w + 1]$	$53$	$[2, 2, 2, 2, 2, 2]$	$3$
53.2-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53,53,w^{4} - w^{3} - 4w^{2} + 3w + 4]$	$53$	$[2, 2, 2, 2, 2, 2]$	$1$
53.2-b	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53,53,w^{4} - w^{3} - 4w^{2} + 3w + 4]$	$53$	$[2, 2, 2, 2, 2, 2]$	$2$
53.2-c	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53,53,w^{4} - w^{3} - 4w^{2} + 3w + 4]$	$53$	$[2, 2, 2, 2, 2, 2]$	$3$
53.3-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53,53,w^{5} - w^{4} - 4w^{3} + 4w^{2} + 3w - 1]$	$53$	$[2, 2, 2, 2, 2, 2]$	$1$
53.3-b	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53,53,w^{5} - w^{4} - 4w^{3} + 4w^{2} + 3w - 1]$	$53$	$[2, 2, 2, 2, 2, 2]$	$2$
53.3-c	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53,53,w^{5} - w^{4} - 4w^{3} + 4w^{2} + 3w - 1]$	$53$	$[2, 2, 2, 2, 2, 2]$	$3$
53.4-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53,53,-w^{3} + 2w + 2]$	$53$	$[2, 2, 2, 2, 2, 2]$	$1$
53.4-b	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53,53,-w^{3} + 2w + 2]$	$53$	$[2, 2, 2, 2, 2, 2]$	$2$
53.4-c	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53,53,-w^{3} + 2w + 2]$	$53$	$[2, 2, 2, 2, 2, 2]$	$3$
53.5-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53,53,-w^{5} + 5w^{3} + w^{2} - 5w]$	$53$	$[2, 2, 2, 2, 2, 2]$	$1$
53.5-b	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53,53,-w^{5} + 5w^{3} + w^{2} - 5w]$	$53$	$[2, 2, 2, 2, 2, 2]$	$2$
53.5-c	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53,53,-w^{5} + 5w^{3} + w^{2} - 5w]$	$53$	$[2, 2, 2, 2, 2, 2]$	$3$
53.6-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53,53,w^{4} - 4w^{2} - w + 4]$	$53$	$[2, 2, 2, 2, 2, 2]$	$1$
53.6-b	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53,53,w^{4} - 4w^{2} - w + 4]$	$53$	$[2, 2, 2, 2, 2, 2]$	$2$
53.6-c	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[53,53,w^{4} - 4w^{2} - w + 4]$	$53$	$[2, 2, 2, 2, 2, 2]$	$3$
64.1-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[64, 2, -2]$	$64$	$[2, 2, 2, 2, 2, 2]$	$1$		✓
64.1-b	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[64, 2, -2]$	$64$	$[2, 2, 2, 2, 2, 2]$	$1$		✓
64.1-c	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[64, 2, -2]$	$64$	$[2, 2, 2, 2, 2, 2]$	$2$		✓
64.1-d	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[64, 2, -2]$	$64$	$[2, 2, 2, 2, 2, 2]$	$3$		✓
79.1-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.1-b	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.1-c	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.1-d	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.1-e	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$5$
79.2-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.2-b	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.2-c	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.2-d	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.2-e	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$5$
79.3-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79,79,-w^{3} + w^{2} + 4w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.3-b	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79,79,-w^{3} + w^{2} + 4w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.3-c	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79,79,-w^{3} + w^{2} + 4w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.3-d	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79,79,-w^{3} + w^{2} + 4w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.3-e	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79,79,-w^{3} + w^{2} + 4w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$5$
79.4-a	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79,79,w^{5} - 3w^{3} - w^{2} + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.4-b	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79,79,w^{5} - 3w^{3} - w^{2} + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.4-c	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79,79,w^{5} - 3w^{3} - w^{2} + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.4-d	\(\Q(\zeta_{13})^+\)	$6$	$371293$	$[79,79,w^{5} - 3w^{3} - w^{2} + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$