Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
1260.a |
\(\chi_{1260}(1, \cdot)\)
|
$1260$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
1260.b |
\(\chi_{1260}(379, \cdot)\)
|
$1260$ |
$20$ |
$2$ |
\(\Q(\sqrt{-5}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
1260.c |
\(\chi_{1260}(811, \cdot)\)
|
$1260$ |
$28$ |
$2$ |
\(\Q(\sqrt{7}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
1260.d |
\(\chi_{1260}(881, \cdot)\)
|
$1260$ |
$21$ |
$2$ |
\(\Q(\sqrt{21}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
1260.e |
\(\chi_{1260}(449, \cdot)\)
|
$1260$ |
$15$ |
$2$ |
\(\Q(\sqrt{-15}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
1260.f |
\(\chi_{1260}(629, \cdot)\)
|
$1260$ |
$105$ |
$2$ |
\(\Q(\sqrt{105}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
1260.g |
\(\chi_{1260}(701, \cdot)\)
|
$1260$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
1260.h |
\(\chi_{1260}(631, \cdot)\)
|
$1260$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
1260.i |
\(\chi_{1260}(559, \cdot)\)
|
$1260$ |
$140$ |
$2$ |
\(\Q(\sqrt{35}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
1260.j |
\(\chi_{1260}(181, \cdot)\)
|
$1260$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
1260.k |
\(\chi_{1260}(1009, \cdot)\)
|
$1260$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
1260.l |
\(\chi_{1260}(1079, \cdot)\)
|
$1260$ |
$60$ |
$2$ |
\(\Q(\sqrt{15}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
1260.m |
\(\chi_{1260}(251, \cdot)\)
|
$1260$ |
$84$ |
$2$ |
\(\Q(\sqrt{-21}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
1260.n |
\(\chi_{1260}(71, \cdot)\)
|
$1260$ |
$12$ |
$2$ |
\(\Q(\sqrt{3}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
1260.o |
\(\chi_{1260}(1259, \cdot)\)
|
$1260$ |
$420$ |
$2$ |
\(\Q(\sqrt{-105}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
1260.p |
\(\chi_{1260}(1189, \cdot)\)
|
$1260$ |
$35$ |
$2$ |
\(\Q(\sqrt{-35}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
1260.q |
\(\chi_{1260}(121, \cdot)\)$,$ \(\chi_{1260}(781, \cdot)\)
|
$1260$ |
$63$ |
$3$ |
3.3.3969.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1260.r |
\(\chi_{1260}(421, \cdot)\)$,$ \(\chi_{1260}(841, \cdot)\)
|
$1260$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1260.s |
\(\chi_{1260}(361, \cdot)\)$,$ \(\chi_{1260}(541, \cdot)\)
|
$1260$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1260.t |
\(\chi_{1260}(961, \cdot)\)$,$ \(\chi_{1260}(1201, \cdot)\)
|
$1260$ |
$63$ |
$3$ |
3.3.3969.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1260.u |
\(\chi_{1260}(307, \cdot)\)$,$ \(\chi_{1260}(1063, \cdot)\)
|
$1260$ |
$140$ |
$4$ |
4.0.98000.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
1260.v |
\(\chi_{1260}(197, \cdot)\)$,$ \(\chi_{1260}(953, \cdot)\)
|
$1260$ |
$15$ |
$4$ |
\(\Q(\zeta_{15})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
1260.w |
\(\chi_{1260}(127, \cdot)\)$,$ \(\chi_{1260}(883, \cdot)\)
|
$1260$ |
$20$ |
$4$ |
\(\Q(\zeta_{20})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
1260.x |
\(\chi_{1260}(377, \cdot)\)$,$ \(\chi_{1260}(1133, \cdot)\)
|
$1260$ |
$105$ |
$4$ |
4.0.55125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
1260.y |
\(\chi_{1260}(253, \cdot)\)$,$ \(\chi_{1260}(757, \cdot)\)
|
$1260$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
1260.z |
\(\chi_{1260}(503, \cdot)\)$,$ \(\chi_{1260}(1007, \cdot)\)
|
$1260$ |
$420$ |
$4$ |
4.4.882000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
1260.ba |
\(\chi_{1260}(433, \cdot)\)$,$ \(\chi_{1260}(937, \cdot)\)
|
$1260$ |
$35$ |
$4$ |
4.4.6125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
1260.bb |
\(\chi_{1260}(323, \cdot)\)$,$ \(\chi_{1260}(827, \cdot)\)
|
$1260$ |
$60$ |
$4$ |
4.0.18000.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
1260.bc |
\(\chi_{1260}(439, \cdot)\)$,$ \(\chi_{1260}(1039, \cdot)\)
|
$1260$ |
$1260$ |
$6$ |
6.6.882165816000.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
1260.bd |
\(\chi_{1260}(331, \cdot)\)$,$ \(\chi_{1260}(571, \cdot)\)
|
$1260$ |
$252$ |
$6$ |
6.0.1008189504.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1260.be |
\(\chi_{1260}(221, \cdot)\)$,$ \(\chi_{1260}(821, \cdot)\)
|
$1260$ |
$63$ |
$6$ |
6.0.47258883.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1260.bf |
\(\chi_{1260}(689, \cdot)\)$,$ \(\chi_{1260}(929, \cdot)\)
|
$1260$ |
$315$ |
$6$ |
6.6.41351522625.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1260.bg |
\(\chi_{1260}(569, \cdot)\)$,$ \(\chi_{1260}(1229, \cdot)\)
|
$1260$ |
$315$ |
$6$ |
6.0.5907360375.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1260.bh |
\(\chi_{1260}(941, \cdot)\)$,$ \(\chi_{1260}(1181, \cdot)\)
|
$1260$ |
$63$ |
$6$ |
6.6.330812181.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1260.bi |
\(\chi_{1260}(31, \cdot)\)$,$ \(\chi_{1260}(691, \cdot)\)
|
$1260$ |
$252$ |
$6$ |
6.6.7057326528.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1260.bj |
\(\chi_{1260}(79, \cdot)\)$,$ \(\chi_{1260}(319, \cdot)\)
|
$1260$ |
$1260$ |
$6$ |
6.0.126023688000.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
1260.bk |
\(\chi_{1260}(971, \cdot)\)$,$ \(\chi_{1260}(1151, \cdot)\)
|
$1260$ |
$84$ |
$6$ |
6.0.29042496.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1260.bl |
\(\chi_{1260}(179, \cdot)\)$,$ \(\chi_{1260}(359, \cdot)\)
|
$1260$ |
$420$ |
$6$ |
6.6.518616000.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1260.bm |
\(\chi_{1260}(109, \cdot)\)$,$ \(\chi_{1260}(289, \cdot)\)
|
$1260$ |
$35$ |
$6$ |
6.6.300125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1260.bn |
\(\chi_{1260}(901, \cdot)\)$,$ \(\chi_{1260}(1081, \cdot)\)
|
$1260$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1260.bo |
\(\chi_{1260}(491, \cdot)\)$,$ \(\chi_{1260}(911, \cdot)\)
|
$1260$ |
$36$ |
$6$ |
\(\Q(\zeta_{36})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1260.bp |
\(\chi_{1260}(419, \cdot)\)$,$ \(\chi_{1260}(839, \cdot)\)
|
$1260$ |
$1260$ |
$6$ |
6.0.54010152000.17 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
1260.bq |
\(\chi_{1260}(229, \cdot)\)$,$ \(\chi_{1260}(1249, \cdot)\)
|
$1260$ |
$315$ |
$6$ |
6.0.13783840875.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1260.br |
\(\chi_{1260}(479, \cdot)\)$,$ \(\chi_{1260}(1139, \cdot)\)
|
$1260$ |
$1260$ |
$6$ |
6.0.2646497448000.7 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
1260.bs |
\(\chi_{1260}(11, \cdot)\)$,$ \(\chi_{1260}(1031, \cdot)\)
|
$1260$ |
$252$ |
$6$ |
6.6.3024568512.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1260.bt |
\(\chi_{1260}(349, \cdot)\)$,$ \(\chi_{1260}(769, \cdot)\)
|
$1260$ |
$315$ |
$6$ |
6.0.281302875.3 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1260.bu |
\(\chi_{1260}(601, \cdot)\)$,$ \(\chi_{1260}(1021, \cdot)\)
|
$1260$ |
$63$ |
$6$ |
6.0.2250423.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1260.bv |
\(\chi_{1260}(169, \cdot)\)$,$ \(\chi_{1260}(589, \cdot)\)
|
$1260$ |
$45$ |
$6$ |
6.6.820125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
1260.bw |
\(\chi_{1260}(131, \cdot)\)$,$ \(\chi_{1260}(731, \cdot)\)
|
$1260$ |
$252$ |
$6$ |
6.0.21171979584.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
1260.bx |
\(\chi_{1260}(779, \cdot)\)$,$ \(\chi_{1260}(1019, \cdot)\)
|
$1260$ |
$1260$ |
$6$ |
6.6.378071064000.3 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |