Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
27.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[27, 3, 3]$ |
$27$ |
$[2, 2, 2]$ |
$1$ |
|
✓ |
41.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[41, 41, w^{2} - w - 5]$ |
$41$ |
$[2, 2, 2]$ |
$1$ |
|
|
41.2-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[41,41,-w^{2} - 2]$ |
$41$ |
$[2, 2, 2]$ |
$1$ |
|
|
41.3-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[41,41,w - 4]$ |
$41$ |
$[2, 2, 2]$ |
$1$ |
|
|
49.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[49, 7, -w^{2} + 3w + 3]$ |
$49$ |
$[2, 2, 2]$ |
$1$ |
✓ |
✓ |
56.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[56, 14, 4w^{2} - 2w - 6]$ |
$56$ |
$[2, 2, 2]$ |
$1$ |
|
✓ |
64.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[64, 4, 4]$ |
$64$ |
$[2, 2, 2]$ |
$1$ |
|
✓ |
71.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[71, 71, 4w^{2} - 3w - 5]$ |
$71$ |
$[2, 2, 2]$ |
$1$ |
|
|
71.2-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[71,71,-3w^{2} - w + 6]$ |
$71$ |
$[2, 2, 2]$ |
$1$ |
|
|
71.3-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[71,71,-w^{2} + 4w + 1]$ |
$71$ |
$[2, 2, 2]$ |
$1$ |
|
|
83.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[83, 83, w^{2} + w - 7]$ |
$83$ |
$[2, 2, 2]$ |
$2$ |
|
|
83.2-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[83,83,w^{2} - 2w - 6]$ |
$83$ |
$[2, 2, 2]$ |
$2$ |
|
|
83.3-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[83,83,-2w^{2} + w - 2]$ |
$83$ |
$[2, 2, 2]$ |
$2$ |
|
|
91.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[91, 91, w^{2} - w - 6]$ |
$91$ |
$[2, 2, 2]$ |
$1$ |
|
|
91.2-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[91,91,-w^{2} - 3]$ |
$91$ |
$[2, 2, 2]$ |
$1$ |
|
|
91.3-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[91,91,w - 5]$ |
$91$ |
$[2, 2, 2]$ |
$1$ |
|
|
97.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[97, 97, 3w^{2} + w - 7]$ |
$97$ |
$[2, 2, 2]$ |
$1$ |
|
|
97.2-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[97,97,-4w^{2} + 3w + 4]$ |
$97$ |
$[2, 2, 2]$ |
$1$ |
|
|
97.3-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[97,97,w^{2} - 4w - 2]$ |
$97$ |
$[2, 2, 2]$ |
$1$ |
|
|
104.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[104, 26, -2w^{2} - 2w + 6]$ |
$104$ |
$[2, 2, 2]$ |
$1$ |
|
|
104.1-b |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[104, 26, -2w^{2} - 2w + 6]$ |
$104$ |
$[2, 2, 2]$ |
$1$ |
|
|
104.2-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[104,26,-2w^{2} + 4w + 4]$ |
$104$ |
$[2, 2, 2]$ |
$1$ |
|
|
104.2-b |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[104,26,-2w^{2} + 4w + 4]$ |
$104$ |
$[2, 2, 2]$ |
$1$ |
|
|
104.3-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[104,26,4w^{2} - 2w - 4]$ |
$104$ |
$[2, 2, 2]$ |
$1$ |
|
|
104.3-b |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[104,26,4w^{2} - 2w - 4]$ |
$104$ |
$[2, 2, 2]$ |
$1$ |
|
|
113.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[113, 113, 3w^{2} + w - 8]$ |
$113$ |
$[2, 2, 2]$ |
$1$ |
|
|
113.2-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[113,113,-4w^{2} + 3w + 3]$ |
$113$ |
$[2, 2, 2]$ |
$1$ |
|
|
113.3-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[113,113,w^{2} - 4w - 3]$ |
$113$ |
$[2, 2, 2]$ |
$1$ |
|
|
125.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[125, 5, -5]$ |
$125$ |
$[2, 2, 2]$ |
$2$ |
|
✓ |
127.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[127, 127, 2w^{2} - 9]$ |
$127$ |
$[2, 2, 2]$ |
$1$ |
|
|
127.2-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[127,127,-2w^{2} + 2w - 3]$ |
$127$ |
$[2, 2, 2]$ |
$1$ |
|
|
127.3-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[127,127,-2w - 5]$ |
$127$ |
$[2, 2, 2]$ |
$1$ |
|
|
139.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[139, 139, 5w^{2} - 4w - 6]$ |
$139$ |
$[2, 2, 2]$ |
$2$ |
|
|
139.2-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[139,139,-4w^{2} - w + 8]$ |
$139$ |
$[2, 2, 2]$ |
$2$ |
|
|
139.3-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[139,139,-w^{2} + 5w + 1]$ |
$139$ |
$[2, 2, 2]$ |
$2$ |
|
|
167.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[167, 167, w^{2} + w - 8]$ |
$167$ |
$[2, 2, 2]$ |
$3$ |
|
|
167.2-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[167,167,w^{2} - 2w - 7]$ |
$167$ |
$[2, 2, 2]$ |
$3$ |
|
|
167.3-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[167,167,-2w^{2} + w - 3]$ |
$167$ |
$[2, 2, 2]$ |
$3$ |
|
|
169.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[169, 13, -3w^{2} - 2w + 7]$ |
$169$ |
$[2, 2, 2]$ |
$1$ |
|
|
169.2-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[169,13,5w^{2} - 3w - 6]$ |
$169$ |
$[2, 2, 2]$ |
$1$ |
|
|
169.3-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[169,13,-2w^{2} + 5w + 3]$ |
$169$ |
$[2, 2, 2]$ |
$1$ |
|
|
169.4-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[169, 169, -w^{2} + w + 7]$ |
$169$ |
$[2, 2, 2]$ |
$2$ |
|
|
169.5-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[169,169,w^{2} + 4]$ |
$169$ |
$[2, 2, 2]$ |
$2$ |
|
|
169.6-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[169,169,-w + 6]$ |
$169$ |
$[2, 2, 2]$ |
$2$ |
|
|
181.1-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[181, 181, 4w^{2} + w - 9]$ |
$181$ |
$[2, 2, 2]$ |
$1$ |
|
|
181.1-b |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[181, 181, 4w^{2} + w - 9]$ |
$181$ |
$[2, 2, 2]$ |
$1$ |
|
|
181.2-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[181,181,-5w^{2} + 4w + 5]$ |
$181$ |
$[2, 2, 2]$ |
$1$ |
|
|
181.2-b |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[181,181,-5w^{2} + 4w + 5]$ |
$181$ |
$[2, 2, 2]$ |
$1$ |
|
|
181.3-a |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[181,181,w^{2} - 5w - 2]$ |
$181$ |
$[2, 2, 2]$ |
$1$ |
|
|
181.3-b |
\(\Q(\zeta_{7})^+\) |
$3$ |
$49$ |
$[181,181,w^{2} - 5w - 2]$ |
$181$ |
$[2, 2, 2]$ |
$1$ |
|
|