| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 148.a |
\(\chi_{148}(1, \cdot)\)
|
$148$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 148.b |
\(\chi_{148}(147, \cdot)\)
|
$148$ |
$148$ |
$2$ |
\(\Q(\sqrt{-37}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
| 148.c |
\(\chi_{148}(75, \cdot)\)
|
$148$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 148.d |
\(\chi_{148}(73, \cdot)\)
|
$148$ |
$37$ |
$2$ |
\(\Q(\sqrt{37}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 148.e |
\(\chi_{148}(121, \cdot)\)$,$ \(\chi_{148}(137, \cdot)\)
|
$148$ |
$37$ |
$3$ |
3.3.1369.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 148.f |
\(\chi_{148}(105, \cdot)\)$,$ \(\chi_{148}(117, \cdot)\)
|
$148$ |
$37$ |
$4$ |
4.0.50653.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 148.g |
\(\chi_{148}(31, \cdot)\)$,$ \(\chi_{148}(43, \cdot)\)
|
$148$ |
$148$ |
$4$ |
4.4.810448.1 |
\(\mathbb{Q}(i)\) |
even |
|
✓ |
✓ |
| 148.h |
\(\chi_{148}(85, \cdot)\)$,$ \(\chi_{148}(101, \cdot)\)
|
$148$ |
$37$ |
$6$ |
6.6.69343957.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 148.i |
\(\chi_{148}(47, \cdot)\)$,$ \(\chi_{148}(63, \cdot)\)
|
$148$ |
$148$ |
$6$ |
6.0.119946304.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 148.j |
\(\chi_{148}(11, \cdot)\)$,$ \(\chi_{148}(27, \cdot)\)
|
$148$ |
$148$ |
$6$ |
6.0.4438013248.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 148.k |
\(\chi_{148}(9, \cdot)\)$, \cdots ,$\(\chi_{148}(145, \cdot)\)
|
$148$ |
$37$ |
$9$ |
9.9.3512479453921.1 |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 148.l |
\(\chi_{148}(23, \cdot)\)$, \cdots ,$\(\chi_{148}(119, \cdot)\)
|
$148$ |
$148$ |
$12$ |
12.12.728750578808669851648.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 148.m |
\(\chi_{148}(29, \cdot)\)$, \cdots ,$\(\chi_{148}(125, \cdot)\)
|
$148$ |
$37$ |
$12$ |
12.0.177917621779460413.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 148.n |
\(\chi_{148}(21, \cdot)\)$, \cdots ,$\(\chi_{148}(141, \cdot)\)
|
$148$ |
$37$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 148.o |
\(\chi_{148}(3, \cdot)\)$, \cdots ,$\(\chi_{148}(139, \cdot)\)
|
$148$ |
$148$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 148.p |
\(\chi_{148}(7, \cdot)\)$, \cdots ,$\(\chi_{148}(127, \cdot)\)
|
$148$ |
$148$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 148.q |
\(\chi_{148}(15, \cdot)\)$, \cdots ,$\(\chi_{148}(143, \cdot)\)
|
$148$ |
$148$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
✓ |
✓ |
| 148.r |
\(\chi_{148}(5, \cdot)\)$, \cdots ,$\(\chi_{148}(133, \cdot)\)
|
$148$ |
$37$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
|
✓ |
