Hilbert modular form search results

Results (1-50 of 699 matches)

  Download displayed columns for results to

Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	CM	Base change
1.1-a	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$1$	✓	✓
1.1-b	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$1$	✓	✓
1.1-c	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$2$		✓
1.1-d	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$2$	✓	✓
1.1-e	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2]$	$2$		✓
7.1-a	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[7, 7, \frac{1}{3} w^3 - \frac{8}{3} w + 2]$	$7$	$[2, 2, 2, 2]$	$2$
7.1-b	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[7, 7, \frac{1}{3} w^3 - \frac{8}{3} w + 2]$	$7$	$[2, 2, 2, 2]$	$2$
7.2-a	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[7,7,-\frac{1}{3} w^3 + \frac{8}{3} w + 2]$	$7$	$[2, 2, 2, 2]$	$2$
7.2-b	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[7,7,-\frac{1}{3} w^3 + \frac{8}{3} w + 2]$	$7$	$[2, 2, 2, 2]$	$2$
8.1-a	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[8, 2, -\frac{1}{3} w^3 - w^2 - \frac{1}{3} w + 1]$	$8$	$[2, 2, 2, 2]$	$2$		✓
8.1-b	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[8, 2, -\frac{1}{3} w^3 - w^2 - \frac{1}{3} w + 1]$	$8$	$[2, 2, 2, 2]$	$2$		✓
9.1-a	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[9, 3, w]$	$9$	$[2, 2, 2, 2]$	$6$		✓
9.1-b	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[9, 3, w]$	$9$	$[2, 2, 2, 2]$	$6$
9.2-a	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[9,3,-\frac{1}{3} w^3 + \frac{8}{3} w]$	$9$	$[2, 2, 2, 2]$	$6$		✓
9.2-b	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[9,3,-\frac{1}{3} w^3 + \frac{8}{3} w]$	$9$	$[2, 2, 2, 2]$	$6$
14.1-a	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[14, 14, \frac{2}{3} w^3 - \frac{13}{3} w + 1]$	$14$	$[2, 2, 2, 2]$	$2$
14.1-b	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[14, 14, \frac{2}{3} w^3 - \frac{13}{3} w + 1]$	$14$	$[2, 2, 2, 2]$	$2$
14.1-c	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[14, 14, \frac{2}{3} w^3 - \frac{13}{3} w + 1]$	$14$	$[2, 2, 2, 2]$	$2$
14.1-d	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[14, 14, \frac{2}{3} w^3 - \frac{13}{3} w + 1]$	$14$	$[2, 2, 2, 2]$	$2$
14.2-a	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[14,14,-\frac{2}{3} w^3 + \frac{13}{3} w + 1]$	$14$	$[2, 2, 2, 2]$	$2$
14.2-b	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[14,14,-\frac{2}{3} w^3 + \frac{13}{3} w + 1]$	$14$	$[2, 2, 2, 2]$	$2$
14.2-c	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[14,14,-\frac{2}{3} w^3 + \frac{13}{3} w + 1]$	$14$	$[2, 2, 2, 2]$	$2$
14.2-d	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[14,14,-\frac{2}{3} w^3 + \frac{13}{3} w + 1]$	$14$	$[2, 2, 2, 2]$	$2$
16.1-a	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$		✓
16.1-b	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$		✓
16.1-c	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$		✓
16.1-d	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$		✓
16.1-e	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$		✓
16.1-f	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$		✓
16.1-g	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$		✓
16.1-h	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$1$		✓
16.1-i	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[16, 2, 2]$	$16$	$[2, 2, 2, 2]$	$2$	✓	✓
18.1-a	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[18,6,\frac{1}{3} w^3 - \frac{8}{3} w - 3]$	$18$	$[2, 2, 2, 2]$	$8$
18.1-b	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[18,6,\frac{1}{3} w^3 - \frac{8}{3} w - 3]$	$18$	$[2, 2, 2, 2]$	$8$
18.2-a	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[18, 6, -w - 3]$	$18$	$[2, 2, 2, 2]$	$8$
18.2-b	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[18, 6, -w - 3]$	$18$	$[2, 2, 2, 2]$	$8$
25.1-a	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[25,5,\frac{1}{3} w^3 - w^2 - \frac{5}{3} w + 4]$	$25$	$[2, 2, 2, 2]$	$1$		✓
25.1-b	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[25,5,\frac{1}{3} w^3 - w^2 - \frac{5}{3} w + 4]$	$25$	$[2, 2, 2, 2]$	$1$		✓
25.1-c	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[25,5,\frac{1}{3} w^3 - w^2 - \frac{5}{3} w + 4]$	$25$	$[2, 2, 2, 2]$	$1$
25.1-d	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[25,5,\frac{1}{3} w^3 - w^2 - \frac{5}{3} w + 4]$	$25$	$[2, 2, 2, 2]$	$1$
25.1-e	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[25,5,\frac{1}{3} w^3 - w^2 - \frac{5}{3} w + 4]$	$25$	$[2, 2, 2, 2]$	$1$		✓
25.1-f	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[25,5,\frac{1}{3} w^3 - w^2 - \frac{5}{3} w + 4]$	$25$	$[2, 2, 2, 2]$	$1$		✓
25.1-g	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[25,5,\frac{1}{3} w^3 - w^2 - \frac{5}{3} w + 4]$	$25$	$[2, 2, 2, 2]$	$1$
25.1-h	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[25,5,\frac{1}{3} w^3 - w^2 - \frac{5}{3} w + 4]$	$25$	$[2, 2, 2, 2]$	$1$
25.1-i	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[25,5,\frac{1}{3} w^3 - w^2 - \frac{5}{3} w + 4]$	$25$	$[2, 2, 2, 2]$	$6$
25.1-j	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[25,5,\frac{1}{3} w^3 - w^2 - \frac{5}{3} w + 4]$	$25$	$[2, 2, 2, 2]$	$6$		✓
25.1-k	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[25,5,\frac{1}{3} w^3 - w^2 - \frac{5}{3} w + 4]$	$25$	$[2, 2, 2, 2]$	$8$
25.1-l	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[25,5,\frac{1}{3} w^3 - w^2 - \frac{5}{3} w + 4]$	$25$	$[2, 2, 2, 2]$	$8$
25.2-a	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[25, 5, -\frac{1}{3} w^3 - w^2 + \frac{5}{3} w + 4]$	$25$	$[2, 2, 2, 2]$	$1$		✓
25.2-b	\(\Q(\sqrt{2}, \sqrt{7})\)	$4$	$12544$	$[25, 5, -\frac{1}{3} w^3 - w^2 + \frac{5}{3} w + 4]$	$25$	$[2, 2, 2, 2]$	$1$		✓

  Download displayed columns for results to