Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
1665.a |
\(\chi_{1665}(1, \cdot)\)
|
$1665$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
1665.b |
\(\chi_{1665}(1664, \cdot)\)
|
$1665$ |
$555$ |
$2$ |
\(\Q(\sqrt{-555}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
1665.c |
\(\chi_{1665}(334, \cdot)\)
|
$1665$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
1665.d |
\(\chi_{1665}(926, \cdot)\)
|
$1665$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
1665.e |
\(\chi_{1665}(406, \cdot)\)
|
$1665$ |
$37$ |
$2$ |
\(\Q(\sqrt{37}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
1665.f |
\(\chi_{1665}(1259, \cdot)\)
|
$1665$ |
$15$ |
$2$ |
\(\Q(\sqrt{-15}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
1665.g |
\(\chi_{1665}(739, \cdot)\)
|
$1665$ |
$185$ |
$2$ |
\(\Q(\sqrt{185}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
1665.h |
\(\chi_{1665}(1331, \cdot)\)
|
$1665$ |
$111$ |
$2$ |
\(\Q(\sqrt{-111}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
1665.i |
\(\chi_{1665}(556, \cdot)\)$,$ \(\chi_{1665}(1111, \cdot)\)
|
$1665$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1665.j |
\(\chi_{1665}(676, \cdot)\)$,$ \(\chi_{1665}(766, \cdot)\)
|
$1665$ |
$37$ |
$3$ |
3.3.1369.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1665.k |
\(\chi_{1665}(211, \cdot)\)$,$ \(\chi_{1665}(1231, \cdot)\)
|
$1665$ |
$333$ |
$3$ |
3.3.110889.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1665.l |
\(\chi_{1665}(121, \cdot)\)$,$ \(\chi_{1665}(1321, \cdot)\)
|
$1665$ |
$333$ |
$3$ |
3.3.110889.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1665.m |
\(\chi_{1665}(1153, \cdot)\)$,$ \(\chi_{1665}(1252, \cdot)\)
|
$1665$ |
$185$ |
$4$ |
4.4.6331625.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
1665.n |
\(\chi_{1665}(1178, \cdot)\)$,$ \(\chi_{1665}(1412, \cdot)\)
|
$1665$ |
$555$ |
$4$ |
4.0.56984625.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
1665.o |
\(\chi_{1665}(154, \cdot)\)$,$ \(\chi_{1665}(919, \cdot)\)
|
$1665$ |
$185$ |
$4$ |
4.0.1266325.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
1665.p |
\(\chi_{1665}(179, \cdot)\)$,$ \(\chi_{1665}(1079, \cdot)\)
|
$1665$ |
$555$ |
$4$ |
4.4.11396925.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
1665.q |
\(\chi_{1665}(332, \cdot)\)$,$ \(\chi_{1665}(998, \cdot)\)
|
$1665$ |
$555$ |
$4$ |
4.4.1540125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
1665.r |
\(\chi_{1665}(593, \cdot)\)$,$ \(\chi_{1665}(1592, \cdot)\)
|
$1665$ |
$15$ |
$4$ |
\(\Q(\zeta_{15})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
1665.s |
\(\chi_{1665}(667, \cdot)\)$,$ \(\chi_{1665}(1333, \cdot)\)
|
$1665$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
1665.t |
\(\chi_{1665}(73, \cdot)\)$,$ \(\chi_{1665}(1072, \cdot)\)
|
$1665$ |
$185$ |
$4$ |
4.0.171125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
1665.u |
\(\chi_{1665}(586, \cdot)\)$,$ \(\chi_{1665}(1486, \cdot)\)
|
$1665$ |
$37$ |
$4$ |
4.0.50653.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
1665.v |
\(\chi_{1665}(746, \cdot)\)$,$ \(\chi_{1665}(1511, \cdot)\)
|
$1665$ |
$111$ |
$4$ |
4.4.455877.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
1665.w |
\(\chi_{1665}(253, \cdot)\)$,$ \(\chi_{1665}(487, \cdot)\)
|
$1665$ |
$185$ |
$4$ |
4.4.6331625.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
1665.x |
\(\chi_{1665}(413, \cdot)\)$,$ \(\chi_{1665}(512, \cdot)\)
|
$1665$ |
$555$ |
$4$ |
4.0.56984625.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
1665.y |
\(\chi_{1665}(196, \cdot)\)$,$ \(\chi_{1665}(841, \cdot)\)
|
$1665$ |
$333$ |
$6$ |
6.6.454965701877.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1665.z |
\(\chi_{1665}(491, \cdot)\)$,$ \(\chi_{1665}(1136, \cdot)\)
|
$1665$ |
$333$ |
$6$ |
6.0.36889110963.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1665.ba |
\(\chi_{1665}(454, \cdot)\)$,$ \(\chi_{1665}(1654, \cdot)\)
|
$1665$ |
$1665$ |
$6$ |
6.6.1537046290125.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
1665.bb |
\(\chi_{1665}(344, \cdot)\)$,$ \(\chi_{1665}(1544, \cdot)\)
|
$1665$ |
$1665$ |
$6$ |
6.0.170612138203875.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
1665.bc |
\(\chi_{1665}(619, \cdot)\)$,$ \(\chi_{1665}(1084, \cdot)\)
|
$1665$ |
$1665$ |
$6$ |
6.6.56870712734625.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
1665.bd |
\(\chi_{1665}(914, \cdot)\)$,$ \(\chi_{1665}(1379, \cdot)\)
|
$1665$ |
$1665$ |
$6$ |
6.0.4611138870375.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
1665.be |
\(\chi_{1665}(566, \cdot)\)$,$ \(\chi_{1665}(656, \cdot)\)
|
$1665$ |
$111$ |
$6$ |
6.0.1872286839.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1665.bf |
\(\chi_{1665}(221, \cdot)\)$,$ \(\chi_{1665}(776, \cdot)\)
|
$1665$ |
$333$ |
$6$ |
6.0.997002999.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1665.bg |
\(\chi_{1665}(269, \cdot)\)$,$ \(\chi_{1665}(359, \cdot)\)
|
$1665$ |
$555$ |
$6$ |
6.0.6325293375.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1665.bh |
\(\chi_{1665}(184, \cdot)\)$,$ \(\chi_{1665}(1294, \cdot)\)
|
$1665$ |
$1665$ |
$6$ |
6.6.41541791625.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
1665.bi |
\(\chi_{1665}(149, \cdot)\)$,$ \(\chi_{1665}(704, \cdot)\)
|
$1665$ |
$45$ |
$6$ |
6.0.2460375.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1665.bj |
\(\chi_{1665}(64, \cdot)\)$,$ \(\chi_{1665}(1639, \cdot)\)
|
$1665$ |
$185$ |
$6$ |
6.6.8667994625.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1665.bk |
\(\chi_{1665}(101, \cdot)\)$,$ \(\chi_{1665}(1121, \cdot)\)
|
$1665$ |
$333$ |
$6$ |
6.0.1364897105631.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1665.bl |
\(\chi_{1665}(544, \cdot)\)$,$ \(\chi_{1665}(1564, \cdot)\)
|
$1665$ |
$1665$ |
$6$ |
6.6.1537046290125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
1665.bm |
\(\chi_{1665}(434, \cdot)\)$,$ \(\chi_{1665}(1454, \cdot)\)
|
$1665$ |
$1665$ |
$6$ |
6.0.170612138203875.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
1665.bn |
\(\chi_{1665}(26, \cdot)\)$,$ \(\chi_{1665}(1601, \cdot)\)
|
$1665$ |
$111$ |
$6$ |
6.0.50602347.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1665.bo |
\(\chi_{1665}(961, \cdot)\)$,$ \(\chi_{1665}(1516, \cdot)\)
|
$1665$ |
$333$ |
$6$ |
6.6.332334333.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1665.bp |
\(\chi_{1665}(371, \cdot)\)$,$ \(\chi_{1665}(1481, \cdot)\)
|
$1665$ |
$9$ |
$6$ |
\(\Q(\zeta_{9})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1665.bq |
\(\chi_{1665}(1306, \cdot)\)$,$ \(\chi_{1665}(1396, \cdot)\)
|
$1665$ |
$37$ |
$6$ |
6.6.69343957.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1665.br |
\(\chi_{1665}(899, \cdot)\)$,$ \(\chi_{1665}(989, \cdot)\)
|
$1665$ |
$555$ |
$6$ |
6.0.234035854875.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1665.bs |
\(\chi_{1665}(889, \cdot)\)$,$ \(\chi_{1665}(1444, \cdot)\)
|
$1665$ |
$45$ |
$6$ |
6.6.820125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1665.bt |
\(\chi_{1665}(554, \cdot)\)$,$ \(\chi_{1665}(1109, \cdot)\)
|
$1665$ |
$1665$ |
$6$ |
6.0.124625374875.3 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
1665.bu |
\(\chi_{1665}(1009, \cdot)\)$,$ \(\chi_{1665}(1099, \cdot)\)
|
$1665$ |
$185$ |
$6$ |
6.6.234270125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1665.bv |
\(\chi_{1665}(286, \cdot)\)$,$ \(\chi_{1665}(751, \cdot)\)
|
$1665$ |
$333$ |
$6$ |
6.6.454965701877.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1665.bw |
\(\chi_{1665}(581, \cdot)\)$,$ \(\chi_{1665}(1046, \cdot)\)
|
$1665$ |
$333$ |
$6$ |
6.0.36889110963.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1665.bx |
\(\chi_{1665}(11, \cdot)\)$,$ \(\chi_{1665}(1211, \cdot)\)
|
$1665$ |
$333$ |
$6$ |
6.0.1364897105631.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |