| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 16.1-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 25.1-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[25, 5, -2 w^2 + 5]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 25.1-b |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[25, 5, -2 w^2 + 5]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 41.1-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[41, 41, w + 3]$ |
$41$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 41.2-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[41,41,-w^3 + 3 w + 3]$ |
$41$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 41.3-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[41,41,w^3 - 3 w + 3]$ |
$41$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 41.4-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[41,41,-w + 3]$ |
$41$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 59.1-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[59, 59, 2 w^2 + w - 7]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.1-b |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[59, 59, 2 w^2 + w - 7]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.2-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[59,59,-w^3 - 2 w^2 + 3 w + 3]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.2-b |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[59,59,-w^3 - 2 w^2 + 3 w + 3]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.3-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[59,59,w^3 - 2 w^2 - 3 w + 3]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.3-b |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[59,59,w^3 - 2 w^2 - 3 w + 3]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.4-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[59,59,2 w^2 - w - 7]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.4-b |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[59,59,2 w^2 - w - 7]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 61.1-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[61, 61, 3 w^2 - w - 8]$ |
$61$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 61.2-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[61,61,-w^3 - 3 w^2 + 3 w + 7]$ |
$61$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 61.3-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[61,61,w^3 - 3 w^2 - 3 w + 7]$ |
$61$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 61.4-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[61,61,3 w^2 + w - 8]$ |
$61$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 64.1-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[64, 4, -2 w^3 - 2 w^2 + 6 w + 8]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 64.1-b |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[64, 4, -2 w^3 - 2 w^2 + 6 w + 8]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 76.1-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[76, 38, -3 w^2 - w + 7]$ |
$76$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 76.1-b |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[76, 38, -3 w^2 - w + 7]$ |
$76$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 76.2-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[76,38,w^3 + 3 w^2 - 3 w - 8]$ |
$76$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 76.2-b |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[76,38,w^3 + 3 w^2 - 3 w - 8]$ |
$76$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 76.3-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[76,38,-w^3 + 3 w^2 + 3 w - 8]$ |
$76$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 76.3-b |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[76,38,-w^3 + 3 w^2 + 3 w - 8]$ |
$76$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 76.4-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[76,38,-3 w^2 + w + 7]$ |
$76$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 76.4-b |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[76,38,-3 w^2 + w + 7]$ |
$76$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 79.1-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[79, 79, -w^3 + 2 w^2 + 2 w - 6]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 79.1-b |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[79, 79, -w^3 + 2 w^2 + 2 w - 6]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 79.1-c |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[79, 79, -w^3 + 2 w^2 + 2 w - 6]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 79.1-d |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[79, 79, -w^3 + 2 w^2 + 2 w - 6]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 79.2-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[79,79,-w^3 - 2 w^2 + 4 w + 4]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 79.2-b |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[79,79,-w^3 - 2 w^2 + 4 w + 4]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 79.2-c |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[79,79,-w^3 - 2 w^2 + 4 w + 4]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 79.2-d |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[79,79,-w^3 - 2 w^2 + 4 w + 4]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 79.3-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[79,79,w^3 - 2 w^2 - 4 w + 4]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 79.3-b |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[79,79,w^3 - 2 w^2 - 4 w + 4]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 79.3-c |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[79,79,w^3 - 2 w^2 - 4 w + 4]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 79.3-d |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[79,79,w^3 - 2 w^2 - 4 w + 4]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 79.4-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[79,79,w^3 + 2 w^2 - 2 w - 6]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 79.4-b |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[79,79,w^3 + 2 w^2 - 2 w - 6]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 79.4-c |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[79,79,w^3 + 2 w^2 - 2 w - 6]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 79.4-d |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[79,79,w^3 + 2 w^2 - 2 w - 6]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 80.1-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[80, 10, 2 w]$ |
$80$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 80.1-b |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[80, 10, 2 w]$ |
$80$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 80.1-c |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[80, 10, 2 w]$ |
$80$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 81.1-a |
\(\Q(\zeta_{20})^+\) |
$4$ |
$2000$ |
$[81, 3, -3]$ |
$81$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |