| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 4760.a |
\(\chi_{4760}(1, \cdot)\)
|
$4760$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 4760.b |
\(\chi_{4760}(2379, \cdot)\)
|
$4760$ |
$4760$ |
$2$ |
\(\Q(\sqrt{1190}) \) |
\(\Q\) |
even |
✓ |
✓ |
✓ |
| 4760.c |
\(\chi_{4760}(2381, \cdot)\)
|
$4760$ |
$8$ |
$2$ |
\(\Q(\sqrt{2}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 4760.d |
\(\chi_{4760}(69, \cdot)\)
|
$4760$ |
$280$ |
$2$ |
\(\Q(\sqrt{-70}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 4760.e |
\(\chi_{4760}(4691, \cdot)\)
|
$4760$ |
$136$ |
$2$ |
\(\Q(\sqrt{-34}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 4760.f |
\(\chi_{4760}(1191, \cdot)\)
|
$4760$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 4760.g |
\(\chi_{4760}(3569, \cdot)\)
|
$4760$ |
$595$ |
$2$ |
\(\Q(\sqrt{-595}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 4760.h |
\(\chi_{4760}(1121, \cdot)\)
|
$4760$ |
$17$ |
$2$ |
\(\Q(\sqrt{17}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 4760.i |
\(\chi_{4760}(3639, \cdot)\)
|
$4760$ |
$140$ |
$2$ |
\(\Q(\sqrt{35}) \) |
\(\Q\) |
even |
✓ |
|
|
| 4760.j |
\(\chi_{4760}(1359, \cdot)\)
|
$4760$ |
$340$ |
$2$ |
\(\Q(\sqrt{-85}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 4760.k |
\(\chi_{4760}(3401, \cdot)\)
|
$4760$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 4760.l |
\(\chi_{4760}(3809, \cdot)\)
|
$4760$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 4760.m |
\(\chi_{4760}(951, \cdot)\)
|
$4760$ |
$476$ |
$2$ |
\(\Q(\sqrt{119}) \) |
\(\Q\) |
even |
✓ |
|
|
| 4760.n |
\(\chi_{4760}(2211, \cdot)\)
|
$4760$ |
$56$ |
$2$ |
\(\Q(\sqrt{14}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 4760.o |
\(\chi_{4760}(2549, \cdot)\)
|
$4760$ |
$680$ |
$2$ |
\(\Q(\sqrt{170}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 4760.p |
\(\chi_{4760}(2141, \cdot)\)
|
$4760$ |
$952$ |
$2$ |
\(\Q(\sqrt{-238}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 4760.q |
\(\chi_{4760}(2619, \cdot)\)
|
$4760$ |
$40$ |
$2$ |
\(\Q(\sqrt{-10}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 4760.r |
\(\chi_{4760}(4521, \cdot)\)
|
$4760$ |
$119$ |
$2$ |
\(\Q(\sqrt{-119}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 4760.s |
\(\chi_{4760}(239, \cdot)\)
|
$4760$ |
$20$ |
$2$ |
\(\Q(\sqrt{-5}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 4760.t |
\(\chi_{4760}(4591, \cdot)\)
|
$4760$ |
$28$ |
$2$ |
\(\Q(\sqrt{7}) \) |
\(\Q\) |
even |
✓ |
|
|
| 4760.u |
\(\chi_{4760}(169, \cdot)\)
|
$4760$ |
$85$ |
$2$ |
\(\Q(\sqrt{85}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 4760.v |
\(\chi_{4760}(1429, \cdot)\)
|
$4760$ |
$40$ |
$2$ |
\(\Q(\sqrt{10}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 4760.w |
\(\chi_{4760}(3331, \cdot)\)
|
$4760$ |
$952$ |
$2$ |
\(\Q(\sqrt{238}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 4760.x |
\(\chi_{4760}(3739, \cdot)\)
|
$4760$ |
$680$ |
$2$ |
\(\Q(\sqrt{-170}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 4760.y |
\(\chi_{4760}(1021, \cdot)\)
|
$4760$ |
$56$ |
$2$ |
\(\Q(\sqrt{-14}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 4760.z |
\(\chi_{4760}(3501, \cdot)\)
|
$4760$ |
$136$ |
$2$ |
\(\Q(\sqrt{34}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 4760.ba |
\(\chi_{4760}(1259, \cdot)\)
|
$4760$ |
$280$ |
$2$ |
\(\Q(\sqrt{70}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 4760.bb |
\(\chi_{4760}(3571, \cdot)\)
|
$4760$ |
$8$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 4760.bc |
\(\chi_{4760}(1189, \cdot)\)
|
$4760$ |
$4760$ |
$2$ |
\(\Q(\sqrt{-1190}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
| 4760.bd |
\(\chi_{4760}(2449, \cdot)\)
|
$4760$ |
$35$ |
$2$ |
\(\Q(\sqrt{-35}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 4760.be |
\(\chi_{4760}(2311, \cdot)\)
|
$4760$ |
$68$ |
$2$ |
\(\Q(\sqrt{-17}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 4760.bf |
\(\chi_{4760}(4759, \cdot)\)
|
$4760$ |
$2380$ |
$2$ |
\(\Q(\sqrt{595}) \) |
\(\Q\) |
even |
✓ |
|
|
| 4760.bg |
\(\chi_{4760}(681, \cdot)\)$,$ \(\chi_{4760}(2041, \cdot)\)
|
$4760$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 4760.bh |
\(\chi_{4760}(2673, \cdot)\)$,$ \(\chi_{4760}(4297, \cdot)\)
|
$4760$ |
$595$ |
$4$ |
4.4.30092125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 4760.bi |
\(\chi_{4760}(1653, \cdot)\)$,$ \(\chi_{4760}(3277, \cdot)\)
|
$4760$ |
$680$ |
$4$ |
4.0.39304000.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 4760.bj |
\(\chi_{4760}(463, \cdot)\)$,$ \(\chi_{4760}(2087, \cdot)\)
|
$4760$ |
$340$ |
$4$ |
4.4.9826000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 4760.bk |
\(\chi_{4760}(1483, \cdot)\)$,$ \(\chi_{4760}(3107, \cdot)\)
|
$4760$ |
$4760$ |
$4$ |
4.0.1925896000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
| 4760.bl |
\(\chi_{4760}(2563, \cdot)\)$,$ \(\chi_{4760}(4747, \cdot)\)
|
$4760$ |
$680$ |
$4$ |
4.4.39304000.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 4760.bm |
\(\chi_{4760}(1007, \cdot)\)$,$ \(\chi_{4760}(3583, \cdot)\)
|
$4760$ |
$2380$ |
$4$ |
4.0.481474000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 4760.bn |
\(\chi_{4760}(13, \cdot)\)$,$ \(\chi_{4760}(2197, \cdot)\)
|
$4760$ |
$4760$ |
$4$ |
4.4.1925896000.2 |
\(\mathbb{Q}(i)\) |
even |
|
✓ |
✓ |
| 4760.bo |
\(\chi_{4760}(1177, \cdot)\)$,$ \(\chi_{4760}(3753, \cdot)\)
|
$4760$ |
$85$ |
$4$ |
4.0.614125.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 4760.bp |
\(\chi_{4760}(883, \cdot)\)$,$ \(\chi_{4760}(2787, \cdot)\)
|
$4760$ |
$680$ |
$4$ |
4.4.2312000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 4760.bq |
\(\chi_{4760}(783, \cdot)\)$,$ \(\chi_{4760}(2687, \cdot)\)
|
$4760$ |
$140$ |
$4$ |
4.0.98000.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 4760.br |
\(\chi_{4760}(1973, \cdot)\)$,$ \(\chi_{4760}(3877, \cdot)\)
|
$4760$ |
$280$ |
$4$ |
4.4.392000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 4760.bs |
\(\chi_{4760}(2073, \cdot)\)$,$ \(\chi_{4760}(3977, \cdot)\)
|
$4760$ |
$85$ |
$4$ |
4.0.36125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 4760.bt |
\(\chi_{4760}(1427, \cdot)\)$,$ \(\chi_{4760}(4283, \cdot)\)
|
$4760$ |
$4760$ |
$4$ |
4.0.113288000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
| 4760.bu |
\(\chi_{4760}(2143, \cdot)\)$,$ \(\chi_{4760}(4047, \cdot)\)
|
$4760$ |
$20$ |
$4$ |
\(\Q(\zeta_{20})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 4760.bv |
\(\chi_{4760}(477, \cdot)\)$,$ \(\chi_{4760}(3333, \cdot)\)
|
$4760$ |
$40$ |
$4$ |
4.0.8000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 4760.bw |
\(\chi_{4760}(713, \cdot)\)$,$ \(\chi_{4760}(2617, \cdot)\)
|
$4760$ |
$595$ |
$4$ |
4.4.1770125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 4760.bx |
\(\chi_{4760}(1849, \cdot)\)$,$ \(\chi_{4760}(2129, \cdot)\)
|
$4760$ |
$85$ |
$4$ |
4.4.122825.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |