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