| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 2070.a |
\(\chi_{2070}(1, \cdot)\)
|
$2070$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 2070.b |
\(\chi_{2070}(1979, \cdot)\)
|
$2070$ |
$15$ |
$2$ |
\(\Q(\sqrt{-15}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 2070.c |
\(\chi_{2070}(91, \cdot)\)
|
$2070$ |
$23$ |
$2$ |
\(\Q(\sqrt{-23}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 2070.d |
\(\chi_{2070}(829, \cdot)\)
|
$2070$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 2070.e |
\(\chi_{2070}(1241, \cdot)\)
|
$2070$ |
$69$ |
$2$ |
\(\Q(\sqrt{69}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 2070.f |
\(\chi_{2070}(919, \cdot)\)
|
$2070$ |
$115$ |
$2$ |
\(\Q(\sqrt{-115}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 2070.g |
\(\chi_{2070}(1151, \cdot)\)
|
$2070$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 2070.h |
\(\chi_{2070}(2069, \cdot)\)
|
$2070$ |
$345$ |
$2$ |
\(\Q(\sqrt{345}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 2070.i |
\(\chi_{2070}(691, \cdot)\)$,$ \(\chi_{2070}(1381, \cdot)\)
|
$2070$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 2070.j |
\(\chi_{2070}(323, \cdot)\)$,$ \(\chi_{2070}(737, \cdot)\)
|
$2070$ |
$15$ |
$4$ |
\(\Q(\zeta_{15})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 2070.k |
\(\chi_{2070}(1333, \cdot)\)$,$ \(\chi_{2070}(1747, \cdot)\)
|
$2070$ |
$115$ |
$4$ |
4.4.66125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 2070.l |
\(\chi_{2070}(1243, \cdot)\)$,$ \(\chi_{2070}(1657, \cdot)\)
|
$2070$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 2070.m |
\(\chi_{2070}(413, \cdot)\)$,$ \(\chi_{2070}(827, \cdot)\)
|
$2070$ |
$345$ |
$4$ |
4.0.595125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 2070.n |
\(\chi_{2070}(689, \cdot)\)$,$ \(\chi_{2070}(1379, \cdot)\)
|
$2070$ |
$1035$ |
$6$ |
6.6.29935382625.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 2070.o |
\(\chi_{2070}(461, \cdot)\)$,$ \(\chi_{2070}(1841, \cdot)\)
|
$2070$ |
$9$ |
$6$ |
\(\Q(\zeta_{9})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 2070.p |
\(\chi_{2070}(229, \cdot)\)$,$ \(\chi_{2070}(1609, \cdot)\)
|
$2070$ |
$1035$ |
$6$ |
6.0.9978460875.4 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 2070.q |
\(\chi_{2070}(551, \cdot)\)$,$ \(\chi_{2070}(1931, \cdot)\)
|
$2070$ |
$207$ |
$6$ |
6.6.239483061.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 2070.r |
\(\chi_{2070}(139, \cdot)\)$,$ \(\chi_{2070}(1519, \cdot)\)
|
$2070$ |
$45$ |
$6$ |
6.6.820125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 2070.s |
\(\chi_{2070}(781, \cdot)\)$,$ \(\chi_{2070}(1471, \cdot)\)
|
$2070$ |
$207$ |
$6$ |
6.0.79827687.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 2070.t |
\(\chi_{2070}(599, \cdot)\)$,$ \(\chi_{2070}(1289, \cdot)\)
|
$2070$ |
$45$ |
$6$ |
6.0.2460375.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 2070.u |
\(\chi_{2070}(271, \cdot)\)$, \cdots ,$\(\chi_{2070}(1981, \cdot)\)
|
$2070$ |
$23$ |
$11$ |
\(\Q(\zeta_{23})^+\) |
\(\Q(\zeta_{11})\) |
even |
|
|
✓ |
| 2070.v |
\(\chi_{2070}(277, \cdot)\)$, \cdots ,$\(\chi_{2070}(1933, \cdot)\)
|
$2070$ |
$45$ |
$12$ |
12.0.84075626953125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 2070.w |
\(\chi_{2070}(137, \cdot)\)$, \cdots ,$\(\chi_{2070}(1793, \cdot)\)
|
$2070$ |
$1035$ |
$12$ |
12.0.112015891613143986328125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 2070.x |
\(\chi_{2070}(47, \cdot)\)$, \cdots ,$\(\chi_{2070}(1703, \cdot)\)
|
$2070$ |
$45$ |
$12$ |
\(\Q(\zeta_{45})^+\) |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 2070.y |
\(\chi_{2070}(367, \cdot)\)$, \cdots ,$\(\chi_{2070}(2023, \cdot)\)
|
$2070$ |
$1035$ |
$12$ |
12.12.12446210179238220703125.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 2070.z |
\(\chi_{2070}(89, \cdot)\)$, \cdots ,$\(\chi_{2070}(1799, \cdot)\)
|
$2070$ |
$345$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
even |
|
|
✓ |
| 2070.ba |
\(\chi_{2070}(71, \cdot)\)$, \cdots ,$\(\chi_{2070}(2051, \cdot)\)
|
$2070$ |
$69$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
odd |
|
|
✓ |
| 2070.bb |
\(\chi_{2070}(19, \cdot)\)$, \cdots ,$\(\chi_{2070}(1999, \cdot)\)
|
$2070$ |
$115$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
odd |
|
|
✓ |
| 2070.bc |
\(\chi_{2070}(251, \cdot)\)$, \cdots ,$\(\chi_{2070}(1781, \cdot)\)
|
$2070$ |
$69$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
even |
|
|
✓ |
| 2070.bd |
\(\chi_{2070}(289, \cdot)\)$, \cdots ,$\(\chi_{2070}(1819, \cdot)\)
|
$2070$ |
$115$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
even |
|
|
✓ |
| 2070.be |
\(\chi_{2070}(181, \cdot)\)$, \cdots ,$\(\chi_{2070}(1891, \cdot)\)
|
$2070$ |
$23$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
odd |
|
|
✓ |
| 2070.bf |
\(\chi_{2070}(179, \cdot)\)$, \cdots ,$\(\chi_{2070}(1889, \cdot)\)
|
$2070$ |
$345$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
odd |
|
|
✓ |
| 2070.bg |
\(\chi_{2070}(31, \cdot)\)$, \cdots ,$\(\chi_{2070}(1921, \cdot)\)
|
$2070$ |
$207$ |
$33$ |
not computed |
\(\Q(\zeta_{33})\) |
even |
|
|
✓ |
| 2070.bh |
\(\chi_{2070}(17, \cdot)\)$, \cdots ,$\(\chi_{2070}(1997, \cdot)\)
|
$2070$ |
$345$ |
$44$ |
not computed |
\(\Q(\zeta_{44})\) |
odd |
|
|
✓ |
| 2070.bi |
\(\chi_{2070}(73, \cdot)\)$, \cdots ,$\(\chi_{2070}(2053, \cdot)\)
|
$2070$ |
$115$ |
$44$ |
not computed |
\(\Q(\zeta_{44})\) |
odd |
|
|
✓ |
| 2070.bj |
\(\chi_{2070}(37, \cdot)\)$, \cdots ,$\(\chi_{2070}(1873, \cdot)\)
|
$2070$ |
$115$ |
$44$ |
not computed |
\(\Q(\zeta_{44})\) |
even |
|
|
✓ |
| 2070.bk |
\(\chi_{2070}(197, \cdot)\)$, \cdots ,$\(\chi_{2070}(2033, \cdot)\)
|
$2070$ |
$345$ |
$44$ |
not computed |
\(\Q(\zeta_{44})\) |
even |
|
|
✓ |
| 2070.bl |
\(\chi_{2070}(29, \cdot)\)$, \cdots ,$\(\chi_{2070}(2009, \cdot)\)
|
$2070$ |
$1035$ |
$66$ |
not computed |
\(\Q(\zeta_{33})\) |
odd |
|
|
✓ |
| 2070.bm |
\(\chi_{2070}(61, \cdot)\)$, \cdots ,$\(\chi_{2070}(2041, \cdot)\)
|
$2070$ |
$207$ |
$66$ |
not computed |
\(\Q(\zeta_{33})\) |
odd |
|
|
✓ |
| 2070.bn |
\(\chi_{2070}(49, \cdot)\)$, \cdots ,$\(\chi_{2070}(2059, \cdot)\)
|
$2070$ |
$1035$ |
$66$ |
not computed |
\(\Q(\zeta_{33})\) |
even |
|
|
✓ |
| 2070.bo |
\(\chi_{2070}(11, \cdot)\)$, \cdots ,$\(\chi_{2070}(2021, \cdot)\)
|
$2070$ |
$207$ |
$66$ |
not computed |
\(\Q(\zeta_{33})\) |
even |
|
|
✓ |
| 2070.bp |
\(\chi_{2070}(79, \cdot)\)$, \cdots ,$\(\chi_{2070}(2029, \cdot)\)
|
$2070$ |
$1035$ |
$66$ |
not computed |
\(\Q(\zeta_{33})\) |
odd |
|
|
✓ |
| 2070.bq |
\(\chi_{2070}(41, \cdot)\)$, \cdots ,$\(\chi_{2070}(1991, \cdot)\)
|
$2070$ |
$207$ |
$66$ |
not computed |
\(\Q(\zeta_{33})\) |
odd |
|
|
✓ |
| 2070.br |
\(\chi_{2070}(149, \cdot)\)$, \cdots ,$\(\chi_{2070}(2039, \cdot)\)
|
$2070$ |
$1035$ |
$66$ |
not computed |
\(\Q(\zeta_{33})\) |
even |
|
|
✓ |
| 2070.bs |
\(\chi_{2070}(7, \cdot)\)$, \cdots ,$\(\chi_{2070}(1993, \cdot)\)
|
$2070$ |
$1035$ |
$132$ |
not computed |
$\Q(\zeta_{132})$ |
even |
|
|
✓ |
| 2070.bt |
\(\chi_{2070}(77, \cdot)\)$, \cdots ,$\(\chi_{2070}(2063, \cdot)\)
|
$2070$ |
$1035$ |
$132$ |
not computed |
$\Q(\zeta_{132})$ |
even |
|
|
✓ |
| 2070.bu |
\(\chi_{2070}(83, \cdot)\)$, \cdots ,$\(\chi_{2070}(2057, \cdot)\)
|
$2070$ |
$1035$ |
$132$ |
not computed |
$\Q(\zeta_{132})$ |
odd |
|
|
✓ |
| 2070.bv |
\(\chi_{2070}(13, \cdot)\)$, \cdots ,$\(\chi_{2070}(1987, \cdot)\)
|
$2070$ |
$1035$ |
$132$ |
not computed |
$\Q(\zeta_{132})$ |
odd |
|
|
✓ |
