| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 1.1-b |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 9.1-a |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[9, 3, -\frac{2}{7}w^{3} + \frac{3}{7}w^{2} + \frac{19}{7}w - \frac{10}{7}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 16.1-a |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 16.1-b |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 25.1-a |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[25, 5, \frac{4}{7}w^{3} - \frac{6}{7}w^{2} - \frac{24}{7}w + \frac{13}{7}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 25.1-b |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[25, 5, \frac{4}{7}w^{3} - \frac{6}{7}w^{2} - \frac{24}{7}w + \frac{13}{7}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 36.1-a |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[36, 6, \frac{2}{7}w^{3} - \frac{3}{7}w^{2} - \frac{19}{7}w + \frac{31}{7}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 36.1-b |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[36, 6, \frac{2}{7}w^{3} - \frac{3}{7}w^{2} - \frac{19}{7}w + \frac{31}{7}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 36.1-c |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[36, 6, \frac{2}{7}w^{3} - \frac{3}{7}w^{2} - \frac{19}{7}w + \frac{31}{7}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 36.1-d |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[36, 6, \frac{2}{7}w^{3} - \frac{3}{7}w^{2} - \frac{19}{7}w + \frac{31}{7}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 44.1-a |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[44, 22, \frac{3}{7}w^{3} - \frac{8}{7}w^{2} - \frac{18}{7}w + \frac{15}{7}]$ |
$44$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 44.1-b |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[44, 22, \frac{3}{7}w^{3} - \frac{8}{7}w^{2} - \frac{18}{7}w + \frac{15}{7}]$ |
$44$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 44.1-c |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[44, 22, \frac{3}{7}w^{3} - \frac{8}{7}w^{2} - \frac{18}{7}w + \frac{15}{7}]$ |
$44$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 44.1-d |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[44, 22, \frac{3}{7}w^{3} - \frac{8}{7}w^{2} - \frac{18}{7}w + \frac{15}{7}]$ |
$44$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 44.2-a |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[44,22,\frac{1}{7}w^{3} + \frac{2}{7}w^{2} - \frac{6}{7}w - \frac{23}{7}]$ |
$44$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 44.2-b |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[44,22,\frac{1}{7}w^{3} + \frac{2}{7}w^{2} - \frac{6}{7}w - \frac{23}{7}]$ |
$44$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 44.2-c |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[44,22,\frac{1}{7}w^{3} + \frac{2}{7}w^{2} - \frac{6}{7}w - \frac{23}{7}]$ |
$44$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 44.2-d |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[44,22,\frac{1}{7}w^{3} + \frac{2}{7}w^{2} - \frac{6}{7}w - \frac{23}{7}]$ |
$44$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 44.3-a |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[44,22,-\frac{1}{7}w^{3} + \frac{5}{7}w^{2} - \frac{1}{7}w - \frac{26}{7}]$ |
$44$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 44.3-b |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[44,22,-\frac{1}{7}w^{3} + \frac{5}{7}w^{2} - \frac{1}{7}w - \frac{26}{7}]$ |
$44$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 44.3-c |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[44,22,-\frac{1}{7}w^{3} + \frac{5}{7}w^{2} - \frac{1}{7}w - \frac{26}{7}]$ |
$44$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 44.3-d |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[44,22,-\frac{1}{7}w^{3} + \frac{5}{7}w^{2} - \frac{1}{7}w - \frac{26}{7}]$ |
$44$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 44.4-a |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[44,22,-\frac{3}{7}w^{3} + \frac{1}{7}w^{2} + \frac{25}{7}w - \frac{8}{7}]$ |
$44$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 44.4-b |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[44,22,-\frac{3}{7}w^{3} + \frac{1}{7}w^{2} + \frac{25}{7}w - \frac{8}{7}]$ |
$44$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 44.4-c |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[44,22,-\frac{3}{7}w^{3} + \frac{1}{7}w^{2} + \frac{25}{7}w - \frac{8}{7}]$ |
$44$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 44.4-d |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[44,22,-\frac{3}{7}w^{3} + \frac{1}{7}w^{2} + \frac{25}{7}w - \frac{8}{7}]$ |
$44$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 49.1-a |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[49, 7, \frac{5}{7}w^{3} - \frac{11}{7}w^{2} - \frac{23}{7}w + \frac{25}{7}]$ |
$49$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 49.1-b |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[49, 7, \frac{5}{7}w^{3} - \frac{11}{7}w^{2} - \frac{23}{7}w + \frac{25}{7}]$ |
$49$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 49.1-c |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[49, 7, \frac{5}{7}w^{3} - \frac{11}{7}w^{2} - \frac{23}{7}w + \frac{25}{7}]$ |
$49$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 49.2-a |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[49,7,-w^{3} + 2w^{2} + 6w - 6]$ |
$49$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 49.2-b |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[49,7,-w^{3} + 2w^{2} + 6w - 6]$ |
$49$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 49.2-c |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[49,7,-w^{3} + 2w^{2} + 6w - 6]$ |
$49$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 59.1-a |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59, 59, \frac{3}{7}w^{3} - \frac{1}{7}w^{2} - \frac{32}{7}w + \frac{15}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.1-b |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59, 59, \frac{3}{7}w^{3} - \frac{1}{7}w^{2} - \frac{32}{7}w + \frac{15}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.1-c |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59, 59, \frac{3}{7}w^{3} - \frac{1}{7}w^{2} - \frac{32}{7}w + \frac{15}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.1-d |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59, 59, \frac{3}{7}w^{3} - \frac{1}{7}w^{2} - \frac{32}{7}w + \frac{15}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.1-e |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59, 59, \frac{3}{7}w^{3} - \frac{1}{7}w^{2} - \frac{32}{7}w + \frac{15}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 59.1-f |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59, 59, \frac{3}{7}w^{3} - \frac{1}{7}w^{2} - \frac{32}{7}w + \frac{15}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 59.2-a |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59,59,\frac{3}{7}w^{3} - \frac{8}{7}w^{2} - \frac{25}{7}w + \frac{43}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.2-b |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59,59,\frac{3}{7}w^{3} - \frac{8}{7}w^{2} - \frac{25}{7}w + \frac{43}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.2-c |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59,59,\frac{3}{7}w^{3} - \frac{8}{7}w^{2} - \frac{25}{7}w + \frac{43}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.2-d |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59,59,\frac{3}{7}w^{3} - \frac{8}{7}w^{2} - \frac{25}{7}w + \frac{43}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.2-e |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59,59,\frac{3}{7}w^{3} - \frac{8}{7}w^{2} - \frac{25}{7}w + \frac{43}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 59.2-f |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59,59,\frac{3}{7}w^{3} - \frac{8}{7}w^{2} - \frac{25}{7}w + \frac{43}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 59.3-a |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59,59,-\frac{3}{7}w^{3} + \frac{1}{7}w^{2} + \frac{32}{7}w + \frac{13}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.3-b |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59,59,-\frac{3}{7}w^{3} + \frac{1}{7}w^{2} + \frac{32}{7}w + \frac{13}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.3-c |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59,59,-\frac{3}{7}w^{3} + \frac{1}{7}w^{2} + \frac{32}{7}w + \frac{13}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.3-d |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59,59,-\frac{3}{7}w^{3} + \frac{1}{7}w^{2} + \frac{32}{7}w + \frac{13}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.3-e |
\(\Q(\sqrt{3}, \sqrt{5})\) |
$4$ |
$3600$ |
$[59,59,-\frac{3}{7}w^{3} + \frac{1}{7}w^{2} + \frac{32}{7}w + \frac{13}{7}]$ |
$59$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
