| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 1.1-b |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 1.1-c |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 4.1-a |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[4, 2, -\frac{2}{5}w^{3} + \frac{3}{5}w^{2} + \frac{17}{5}w - \frac{9}{5}]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 4.1-b |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[4, 2, -\frac{2}{5}w^{3} + \frac{3}{5}w^{2} + \frac{17}{5}w - \frac{9}{5}]$ |
$4$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 9.1-a |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[9, 3, -\frac{2}{5}w^{3} + \frac{3}{5}w^{2} + \frac{22}{5}w - \frac{9}{5}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.1-b |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[9, 3, -\frac{2}{5}w^{3} + \frac{3}{5}w^{2} + \frac{22}{5}w - \frac{9}{5}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
| 9.2-a |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[9,3,\frac{2}{5}w^{3} - \frac{3}{5}w^{2} - \frac{22}{5}w + \frac{14}{5}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.2-b |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[9,3,\frac{2}{5}w^{3} - \frac{3}{5}w^{2} - \frac{22}{5}w + \frac{14}{5}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
| 16.1-a |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 16.1-b |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 16.1-c |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 16.1-d |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 17.1-a |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17, 17, w + 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.1-b |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17, 17, w + 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.1-c |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17, 17, w + 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.1-d |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17, 17, w + 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 17.1-e |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17, 17, w + 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 17.2-a |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17,17,-\frac{4}{5}w^{3} + \frac{6}{5}w^{2} + \frac{39}{5}w - \frac{13}{5}]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.2-b |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17,17,-\frac{4}{5}w^{3} + \frac{6}{5}w^{2} + \frac{39}{5}w - \frac{13}{5}]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.2-c |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17,17,-\frac{4}{5}w^{3} + \frac{6}{5}w^{2} + \frac{39}{5}w - \frac{13}{5}]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.2-d |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17,17,-\frac{4}{5}w^{3} + \frac{6}{5}w^{2} + \frac{39}{5}w - \frac{13}{5}]$ |
$17$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 17.2-e |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17,17,-\frac{4}{5}w^{3} + \frac{6}{5}w^{2} + \frac{39}{5}w - \frac{13}{5}]$ |
$17$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 17.3-a |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17,17,\frac{4}{5}w^{3} - \frac{6}{5}w^{2} - \frac{39}{5}w + \frac{28}{5}]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.3-b |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17,17,\frac{4}{5}w^{3} - \frac{6}{5}w^{2} - \frac{39}{5}w + \frac{28}{5}]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.3-c |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17,17,\frac{4}{5}w^{3} - \frac{6}{5}w^{2} - \frac{39}{5}w + \frac{28}{5}]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.3-d |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17,17,\frac{4}{5}w^{3} - \frac{6}{5}w^{2} - \frac{39}{5}w + \frac{28}{5}]$ |
$17$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 17.3-e |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17,17,\frac{4}{5}w^{3} - \frac{6}{5}w^{2} - \frac{39}{5}w + \frac{28}{5}]$ |
$17$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 17.4-a |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17,17,-w + 2]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.4-b |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17,17,-w + 2]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.4-c |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17,17,-w + 2]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.4-d |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17,17,-w + 2]$ |
$17$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 17.4-e |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[17,17,-w + 2]$ |
$17$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 23.1-a |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23, 23, -\frac{1}{5}w^{3} + \frac{4}{5}w^{2} + \frac{6}{5}w - \frac{22}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 23.1-b |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23, 23, -\frac{1}{5}w^{3} + \frac{4}{5}w^{2} + \frac{6}{5}w - \frac{22}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 23.1-c |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23, 23, -\frac{1}{5}w^{3} + \frac{4}{5}w^{2} + \frac{6}{5}w - \frac{22}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 23.1-d |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23, 23, -\frac{1}{5}w^{3} + \frac{4}{5}w^{2} + \frac{6}{5}w - \frac{22}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 23.1-e |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23, 23, -\frac{1}{5}w^{3} + \frac{4}{5}w^{2} + \frac{6}{5}w - \frac{22}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 23.1-f |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23, 23, -\frac{1}{5}w^{3} + \frac{4}{5}w^{2} + \frac{6}{5}w - \frac{22}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$9$ |
|
|
| 23.2-a |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23,23,-\frac{1}{5}w^{3} - \frac{1}{5}w^{2} + \frac{11}{5}w + \frac{3}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 23.2-b |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23,23,-\frac{1}{5}w^{3} - \frac{1}{5}w^{2} + \frac{11}{5}w + \frac{3}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 23.2-c |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23,23,-\frac{1}{5}w^{3} - \frac{1}{5}w^{2} + \frac{11}{5}w + \frac{3}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 23.2-d |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23,23,-\frac{1}{5}w^{3} - \frac{1}{5}w^{2} + \frac{11}{5}w + \frac{3}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 23.2-e |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23,23,-\frac{1}{5}w^{3} - \frac{1}{5}w^{2} + \frac{11}{5}w + \frac{3}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 23.2-f |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23,23,-\frac{1}{5}w^{3} - \frac{1}{5}w^{2} + \frac{11}{5}w + \frac{3}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$9$ |
|
|
| 23.3-a |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23,23,\frac{1}{5}w^{3} - \frac{4}{5}w^{2} - \frac{6}{5}w + \frac{12}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 23.3-b |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23,23,\frac{1}{5}w^{3} - \frac{4}{5}w^{2} - \frac{6}{5}w + \frac{12}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 23.3-c |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23,23,\frac{1}{5}w^{3} - \frac{4}{5}w^{2} - \frac{6}{5}w + \frac{12}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 23.3-d |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23,23,\frac{1}{5}w^{3} - \frac{4}{5}w^{2} - \frac{6}{5}w + \frac{12}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 23.3-e |
\(\Q(\sqrt{2}, \sqrt{13})\) |
$4$ |
$10816$ |
$[23,23,\frac{1}{5}w^{3} - \frac{4}{5}w^{2} - \frac{6}{5}w + \frac{12}{5}]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
