| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 248.a |
\(\chi_{248}(1, \cdot)\)
|
$248$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 248.b |
\(\chi_{248}(123, \cdot)\)
|
$248$ |
$248$ |
$2$ |
\(\Q(\sqrt{62}) \) |
\(\Q\) |
even |
✓ |
✓ |
✓ |
| 248.c |
\(\chi_{248}(125, \cdot)\)
|
$248$ |
$8$ |
$2$ |
\(\Q(\sqrt{2}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 248.d |
\(\chi_{248}(63, \cdot)\)
|
$248$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 248.e |
\(\chi_{248}(185, \cdot)\)
|
$248$ |
$31$ |
$2$ |
\(\Q(\sqrt{-31}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 248.f |
\(\chi_{248}(187, \cdot)\)
|
$248$ |
$8$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 248.g |
\(\chi_{248}(61, \cdot)\)
|
$248$ |
$248$ |
$2$ |
\(\Q(\sqrt{-62}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
| 248.h |
\(\chi_{248}(247, \cdot)\)
|
$248$ |
$124$ |
$2$ |
\(\Q(\sqrt{31}) \) |
\(\Q\) |
even |
✓ |
|
|
| 248.i |
\(\chi_{248}(25, \cdot)\)$,$ \(\chi_{248}(129, \cdot)\)
|
$248$ |
$31$ |
$3$ |
3.3.961.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 248.j |
\(\chi_{248}(33, \cdot)\)$, \cdots ,$\(\chi_{248}(233, \cdot)\)
|
$248$ |
$31$ |
$5$ |
5.5.923521.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 248.k |
\(\chi_{248}(119, \cdot)\)$,$ \(\chi_{248}(223, \cdot)\)
|
$248$ |
$124$ |
$6$ |
6.6.1832265664.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 248.l |
\(\chi_{248}(37, \cdot)\)$,$ \(\chi_{248}(181, \cdot)\)
|
$248$ |
$248$ |
$6$ |
6.0.14658125312.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 248.m |
\(\chi_{248}(67, \cdot)\)$,$ \(\chi_{248}(211, \cdot)\)
|
$248$ |
$248$ |
$6$ |
6.0.472842752.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 248.n |
\(\chi_{248}(57, \cdot)\)$,$ \(\chi_{248}(161, \cdot)\)
|
$248$ |
$31$ |
$6$ |
6.0.28629151.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 248.o |
\(\chi_{248}(87, \cdot)\)$,$ \(\chi_{248}(191, \cdot)\)
|
$248$ |
$124$ |
$6$ |
6.0.59105344.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 248.p |
\(\chi_{248}(5, \cdot)\)$,$ \(\chi_{248}(149, \cdot)\)
|
$248$ |
$248$ |
$6$ |
6.6.472842752.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 248.q |
\(\chi_{248}(99, \cdot)\)$,$ \(\chi_{248}(243, \cdot)\)
|
$248$ |
$248$ |
$6$ |
6.6.14658125312.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 248.r |
\(\chi_{248}(29, \cdot)\)$, \cdots ,$\(\chi_{248}(213, \cdot)\)
|
$248$ |
$248$ |
$10$ |
10.0.866373538960867328.1 |
\(\Q(\zeta_{5})\) |
odd |
|
✓ |
✓ |
| 248.s |
\(\chi_{248}(35, \cdot)\)$, \cdots ,$\(\chi_{248}(219, \cdot)\)
|
$248$ |
$248$ |
$10$ |
10.0.27947533514866688.1 |
\(\Q(\zeta_{5})\) |
odd |
|
✓ |
✓ |
| 248.t |
\(\chi_{248}(15, \cdot)\)$, \cdots ,$\(\chi_{248}(215, \cdot)\)
|
$248$ |
$124$ |
$10$ |
10.10.27074173092527104.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
|
| 248.u |
\(\chi_{248}(101, \cdot)\)$, \cdots ,$\(\chi_{248}(221, \cdot)\)
|
$248$ |
$248$ |
$10$ |
10.10.27947533514866688.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
| 248.v |
\(\chi_{248}(27, \cdot)\)$, \cdots ,$\(\chi_{248}(147, \cdot)\)
|
$248$ |
$248$ |
$10$ |
10.10.866373538960867328.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
| 248.w |
\(\chi_{248}(89, \cdot)\)$, \cdots ,$\(\chi_{248}(209, \cdot)\)
|
$248$ |
$31$ |
$10$ |
10.0.26439622160671.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 248.x |
\(\chi_{248}(39, \cdot)\)$, \cdots ,$\(\chi_{248}(159, \cdot)\)
|
$248$ |
$124$ |
$10$ |
10.0.873360422339584.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
|
| 248.y |
\(\chi_{248}(9, \cdot)\)$, \cdots ,$\(\chi_{248}(193, \cdot)\)
|
$248$ |
$31$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
| 248.z |
\(\chi_{248}(7, \cdot)\)$, \cdots ,$\(\chi_{248}(231, \cdot)\)
|
$248$ |
$124$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 248.ba |
\(\chi_{248}(17, \cdot)\)$, \cdots ,$\(\chi_{248}(241, \cdot)\)
|
$248$ |
$31$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
✓ |
| 248.bb |
\(\chi_{248}(3, \cdot)\)$, \cdots ,$\(\chi_{248}(203, \cdot)\)
|
$248$ |
$248$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
✓ |
✓ |
| 248.bc |
\(\chi_{248}(45, \cdot)\)$, \cdots ,$\(\chi_{248}(245, \cdot)\)
|
$248$ |
$248$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
✓ |
✓ |
| 248.bd |
\(\chi_{248}(55, \cdot)\)$, \cdots ,$\(\chi_{248}(239, \cdot)\)
|
$248$ |
$124$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 248.be |
\(\chi_{248}(19, \cdot)\)$, \cdots ,$\(\chi_{248}(235, \cdot)\)
|
$248$ |
$248$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
✓ |
✓ |
| 248.bf |
\(\chi_{248}(13, \cdot)\)$, \cdots ,$\(\chi_{248}(229, \cdot)\)
|
$248$ |
$248$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
✓ |
✓ |
