LMFDB - Dirichlet character search results

Refine search

Modulus	Conductor	Order	Real

Parity	Primitive	Minimal	Results to display

		Sort order	Select

Results (1-50 of 192 matches)

Next Download displayed columns for results to

Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Primitive	Minimal
7728.a	$\chi_{7728}(1, \cdot)$	$7728$	$1$	$1$	$\Q$	$\Q$	even	✓
7728.b	$\chi_{7728}(7727, \cdot)$	$7728$	$1932$	$2$	$\Q(\sqrt{483}) $	$\Q$	even	✓		✓
7728.c	$\chi_{7728}(5935, \cdot)$	$7728$	$28$	$2$	$\Q(\sqrt{7}) $	$\Q$	even	✓		✓
7728.d	$\chi_{7728}(3865, \cdot)$	$7728$	$8$	$2$	$\Q(\sqrt{2}) $	$\Q$	even	✓
7728.e	$\chi_{7728}(5657, \cdot)$	$7728$	$552$	$2$	$\Q(\sqrt{138}) $	$\Q$	even	✓
7728.f	$\chi_{7728}(4369, \cdot)$	$7728$	$23$	$2$	$\Q(\sqrt{-23}) $	$\Q$	odd	✓
7728.g	$\chi_{7728}(5153, \cdot)$	$7728$	$3$	$2$	$\Q(\sqrt{-3}) $	$\Q$	odd	✓
7728.h	$\chi_{7728}(7223, \cdot)$	$7728$	$168$	$2$	$\Q(\sqrt{-42}) $	$\Q$	odd	✓
7728.i	$\chi_{7728}(6439, \cdot)$	$7728$	$1288$	$2$	$\Q(\sqrt{-322}) $	$\Q$	odd	✓
7728.j	$\chi_{7728}(1105, \cdot)$	$7728$	$7$	$2$	$\Q(\sqrt{-7}) $	$\Q$	odd	✓
7728.k	$\chi_{7728}(2897, \cdot)$	$7728$	$483$	$2$	$\Q(\sqrt{-483}) $	$\Q$	odd	✓
7728.l	$\chi_{7728}(2759, \cdot)$	$7728$	$552$	$2$	$\Q(\sqrt{-138}) $	$\Q$	odd	✓
7728.m	$\chi_{7728}(967, \cdot)$	$7728$	$8$	$2$	$\Q(\sqrt{-2}) $	$\Q$	odd	✓
7728.n	$\chi_{7728}(2255, \cdot)$	$7728$	$12$	$2$	$\Q(\sqrt{3}) $	$\Q$	even	✓		✓
7728.o	$\chi_{7728}(1471, \cdot)$	$7728$	$92$	$2$	$\Q(\sqrt{23}) $	$\Q$	even	✓		✓
7728.p	$\chi_{7728}(1609, \cdot)$	$7728$	$1288$	$2$	$\Q(\sqrt{322}) $	$\Q$	even	✓
7728.q	$\chi_{7728}(2393, \cdot)$	$7728$	$168$	$2$	$\Q(\sqrt{42}) $	$\Q$	even	✓
7728.r	$\chi_{7728}(5335, \cdot)$	$7728$	$184$	$2$	$\Q(\sqrt{46}) $	$\Q$	even	✓
7728.s	$\chi_{7728}(6119, \cdot)$	$7728$	$24$	$2$	$\Q(\sqrt{6}) $	$\Q$	even	✓
7728.t	$\chi_{7728}(6257, \cdot)$	$7728$	$21$	$2$	$\Q(\sqrt{21}) $	$\Q$	even	✓
7728.u	$\chi_{7728}(5473, \cdot)$	$7728$	$161$	$2$	$\Q(\sqrt{161}) $	$\Q$	even	✓
7728.v	$\chi_{7728}(6761, \cdot)$	$7728$	$3864$	$2$	$\Q(\sqrt{-966}) $	$\Q$	odd	✓
7728.w	$\chi_{7728}(4969, \cdot)$	$7728$	$56$	$2$	$\Q(\sqrt{-14}) $	$\Q$	odd	✓
7728.x	$\chi_{7728}(4831, \cdot)$	$7728$	$4$	$2$	$\Q(\sqrt{-1}) $	$\Q$	odd	✓		✓
7728.y	$\chi_{7728}(6623, \cdot)$	$7728$	$276$	$2$	$\Q(\sqrt{-69}) $	$\Q$	odd	✓		✓
7728.z	$\chi_{7728}(1289, \cdot)$	$7728$	$24$	$2$	$\Q(\sqrt{-6}) $	$\Q$	odd	✓
7728.ba	$\chi_{7728}(505, \cdot)$	$7728$	$184$	$2$	$\Q(\sqrt{-46}) $	$\Q$	odd	✓
7728.bb	$\chi_{7728}(2575, \cdot)$	$7728$	$644$	$2$	$\Q(\sqrt{-161}) $	$\Q$	odd	✓		✓
7728.bc	$\chi_{7728}(3359, \cdot)$	$7728$	$84$	$2$	$\Q(\sqrt{-21}) $	$\Q$	odd	✓		✓
7728.bd	$\chi_{7728}(2071, \cdot)$	$7728$	$56$	$2$	$\Q(\sqrt{14}) $	$\Q$	even	✓
7728.be	$\chi_{7728}(3863, \cdot)$	$7728$	$3864$	$2$	$\Q(\sqrt{966}) $	$\Q$	even	✓
7728.bf	$\chi_{7728}(1793, \cdot)$	$7728$	$69$	$2$	$\Q(\sqrt{69}) $	$\Q$	even	✓
7728.bg	$\chi_{7728}(2209, \cdot)$$,$ $\chi_{7728}(3313, \cdot)$	$7728$	$7$	$3$	$\Q(\zeta_{7})^+$	$\mathbb{Q}(\zeta_3)$	even
7728.bh	$\chi_{7728}(3403, \cdot)$$,$ $\chi_{7728}(7267, \cdot)$	$7728$	$368$	$4$	4.4.1083392.2	$\mathbb{Q}(i)$	even			✓
7728.bi	$\chi_{7728}(965, \cdot)$$,$ $\chi_{7728}(4829, \cdot)$	$7728$	$7728$	$4$	4.0.477775872.14	$\mathbb{Q}(i)$	odd		✓	✓
7728.bj	$\chi_{7728}(3037, \cdot)$$,$ $\chi_{7728}(6901, \cdot)$	$7728$	$112$	$4$	4.0.100352.5	$\mathbb{Q}(i)$	odd			✓
7728.bk	$\chi_{7728}(323, \cdot)$$,$ $\chi_{7728}(4187, \cdot)$	$7728$	$48$	$4$	4.4.18432.1	$\mathbb{Q}(i)$	even			✓
7728.bl	$\chi_{7728}(1931, \cdot)$$,$ $\chi_{7728}(5795, \cdot)$	$7728$	$7728$	$4$	4.4.477775872.5	$\mathbb{Q}(i)$	even		✓	✓
7728.bm	$\chi_{7728}(2437, \cdot)$$,$ $\chi_{7728}(6301, \cdot)$	$7728$	$368$	$4$	4.0.1083392.5	$\mathbb{Q}(i)$	odd			✓
7728.bn	$\chi_{7728}(3221, \cdot)$$,$ $\chi_{7728}(7085, \cdot)$	$7728$	$48$	$4$	4.0.18432.2	$\mathbb{Q}(i)$	odd			✓
7728.bo	$\chi_{7728}(139, \cdot)$$,$ $\chi_{7728}(4003, \cdot)$	$7728$	$112$	$4$	4.4.100352.1	$\mathbb{Q}(i)$	even			✓
7728.bp	$\chi_{7728}(2899, \cdot)$$,$ $\chi_{7728}(6763, \cdot)$	$7728$	$16$	$4$	4.0.2048.2	$\mathbb{Q}(i)$	odd			✓
7728.bq	$\chi_{7728}(461, \cdot)$$,$ $\chi_{7728}(4325, \cdot)$	$7728$	$336$	$4$	4.4.903168.2	$\mathbb{Q}(i)$	even			✓
7728.br	$\chi_{7728}(3541, \cdot)$$,$ $\chi_{7728}(7405, \cdot)$	$7728$	$2576$	$4$	4.4.53086208.5	$\mathbb{Q}(i)$	even			✓
7728.bs	$\chi_{7728}(827, \cdot)$$,$ $\chi_{7728}(4691, \cdot)$	$7728$	$1104$	$4$	4.0.9750528.5	$\mathbb{Q}(i)$	odd			✓
7728.bt	$\chi_{7728}(1427, \cdot)$$,$ $\chi_{7728}(5291, \cdot)$	$7728$	$336$	$4$	4.0.903168.5	$\mathbb{Q}(i)$	odd			✓
7728.bu	$\chi_{7728}(1933, \cdot)$$,$ $\chi_{7728}(5797, \cdot)$	$7728$	$16$	$4$	$\Q(\zeta_{16})^+$	$\mathbb{Q}(i)$	even			✓
7728.bv	$\chi_{7728}(3725, \cdot)$$,$ $\chi_{7728}(7589, \cdot)$	$7728$	$1104$	$4$	4.4.9750528.2	$\mathbb{Q}(i)$	even			✓
7728.bw	$\chi_{7728}(643, \cdot)$$,$ $\chi_{7728}(4507, \cdot)$	$7728$	$2576$	$4$	4.0.53086208.14	$\mathbb{Q}(i)$	odd			✓
7728.bx	$\chi_{7728}(47, \cdot)$$,$ $\chi_{7728}(1151, \cdot)$	$7728$	$84$	$6$	6.0.29042496.1	$\mathbb{Q}(\zeta_3)$	odd			✓

Next Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 192 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Primitive	Minimal
7728.a	\(\chi_{7728}(1, \cdot)\)	$7728$	$1$	$1$	\(\Q\)	\(\Q\)	even	✓
7728.b	\(\chi_{7728}(7727, \cdot)\)	$7728$	$1932$	$2$	\(\Q(\sqrt{483}) \)	\(\Q\)	even	✓		✓
7728.c	\(\chi_{7728}(5935, \cdot)\)	$7728$	$28$	$2$	\(\Q(\sqrt{7}) \)	\(\Q\)	even	✓		✓
7728.d	\(\chi_{7728}(3865, \cdot)\)	$7728$	$8$	$2$	\(\Q(\sqrt{2}) \)	\(\Q\)	even	✓
7728.e	\(\chi_{7728}(5657, \cdot)\)	$7728$	$552$	$2$	\(\Q(\sqrt{138}) \)	\(\Q\)	even	✓
7728.f	\(\chi_{7728}(4369, \cdot)\)	$7728$	$23$	$2$	\(\Q(\sqrt{-23}) \)	\(\Q\)	odd	✓
7728.g	\(\chi_{7728}(5153, \cdot)\)	$7728$	$3$	$2$	\(\Q(\sqrt{-3}) \)	\(\Q\)	odd	✓
7728.h	\(\chi_{7728}(7223, \cdot)\)	$7728$	$168$	$2$	\(\Q(\sqrt{-42}) \)	\(\Q\)	odd	✓
7728.i	\(\chi_{7728}(6439, \cdot)\)	$7728$	$1288$	$2$	\(\Q(\sqrt{-322}) \)	\(\Q\)	odd	✓
7728.j	\(\chi_{7728}(1105, \cdot)\)	$7728$	$7$	$2$	\(\Q(\sqrt{-7}) \)	\(\Q\)	odd	✓
7728.k	\(\chi_{7728}(2897, \cdot)\)	$7728$	$483$	$2$	\(\Q(\sqrt{-483}) \)	\(\Q\)	odd	✓
7728.l	\(\chi_{7728}(2759, \cdot)\)	$7728$	$552$	$2$	\(\Q(\sqrt{-138}) \)	\(\Q\)	odd	✓
7728.m	\(\chi_{7728}(967, \cdot)\)	$7728$	$8$	$2$	\(\Q(\sqrt{-2}) \)	\(\Q\)	odd	✓
7728.n	\(\chi_{7728}(2255, \cdot)\)	$7728$	$12$	$2$	\(\Q(\sqrt{3}) \)	\(\Q\)	even	✓		✓
7728.o	\(\chi_{7728}(1471, \cdot)\)	$7728$	$92$	$2$	\(\Q(\sqrt{23}) \)	\(\Q\)	even	✓		✓
7728.p	\(\chi_{7728}(1609, \cdot)\)	$7728$	$1288$	$2$	\(\Q(\sqrt{322}) \)	\(\Q\)	even	✓
7728.q	\(\chi_{7728}(2393, \cdot)\)	$7728$	$168$	$2$	\(\Q(\sqrt{42}) \)	\(\Q\)	even	✓
7728.r	\(\chi_{7728}(5335, \cdot)\)	$7728$	$184$	$2$	\(\Q(\sqrt{46}) \)	\(\Q\)	even	✓
7728.s	\(\chi_{7728}(6119, \cdot)\)	$7728$	$24$	$2$	\(\Q(\sqrt{6}) \)	\(\Q\)	even	✓
7728.t	\(\chi_{7728}(6257, \cdot)\)	$7728$	$21$	$2$	\(\Q(\sqrt{21}) \)	\(\Q\)	even	✓
7728.u	\(\chi_{7728}(5473, \cdot)\)	$7728$	$161$	$2$	\(\Q(\sqrt{161}) \)	\(\Q\)	even	✓
7728.v	\(\chi_{7728}(6761, \cdot)\)	$7728$	$3864$	$2$	\(\Q(\sqrt{-966}) \)	\(\Q\)	odd	✓
7728.w	\(\chi_{7728}(4969, \cdot)\)	$7728$	$56$	$2$	\(\Q(\sqrt{-14}) \)	\(\Q\)	odd	✓
7728.x	\(\chi_{7728}(4831, \cdot)\)	$7728$	$4$	$2$	\(\Q(\sqrt{-1}) \)	\(\Q\)	odd	✓		✓
7728.y	\(\chi_{7728}(6623, \cdot)\)	$7728$	$276$	$2$	\(\Q(\sqrt{-69}) \)	\(\Q\)	odd	✓		✓
7728.z	\(\chi_{7728}(1289, \cdot)\)	$7728$	$24$	$2$	\(\Q(\sqrt{-6}) \)	\(\Q\)	odd	✓
7728.ba	\(\chi_{7728}(505, \cdot)\)	$7728$	$184$	$2$	\(\Q(\sqrt{-46}) \)	\(\Q\)	odd	✓
7728.bb	\(\chi_{7728}(2575, \cdot)\)	$7728$	$644$	$2$	\(\Q(\sqrt{-161}) \)	\(\Q\)	odd	✓		✓
7728.bc	\(\chi_{7728}(3359, \cdot)\)	$7728$	$84$	$2$	\(\Q(\sqrt{-21}) \)	\(\Q\)	odd	✓		✓
7728.bd	\(\chi_{7728}(2071, \cdot)\)	$7728$	$56$	$2$	\(\Q(\sqrt{14}) \)	\(\Q\)	even	✓
7728.be	\(\chi_{7728}(3863, \cdot)\)	$7728$	$3864$	$2$	\(\Q(\sqrt{966}) \)	\(\Q\)	even	✓
7728.bf	\(\chi_{7728}(1793, \cdot)\)	$7728$	$69$	$2$	\(\Q(\sqrt{69}) \)	\(\Q\)	even	✓
7728.bg	\(\chi_{7728}(2209, \cdot)\)$,$ \(\chi_{7728}(3313, \cdot)\)	$7728$	$7$	$3$	\(\Q(\zeta_{7})^+\)	\(\mathbb{Q}(\zeta_3)\)	even
7728.bh	\(\chi_{7728}(3403, \cdot)\)$,$ \(\chi_{7728}(7267, \cdot)\)	$7728$	$368$	$4$	4.4.1083392.2	\(\mathbb{Q}(i)\)	even			✓
7728.bi	\(\chi_{7728}(965, \cdot)\)$,$ \(\chi_{7728}(4829, \cdot)\)	$7728$	$7728$	$4$	4.0.477775872.14	\(\mathbb{Q}(i)\)	odd		✓	✓
7728.bj	\(\chi_{7728}(3037, \cdot)\)$,$ \(\chi_{7728}(6901, \cdot)\)	$7728$	$112$	$4$	4.0.100352.5	\(\mathbb{Q}(i)\)	odd			✓
7728.bk	\(\chi_{7728}(323, \cdot)\)$,$ \(\chi_{7728}(4187, \cdot)\)	$7728$	$48$	$4$	4.4.18432.1	\(\mathbb{Q}(i)\)	even			✓
7728.bl	\(\chi_{7728}(1931, \cdot)\)$,$ \(\chi_{7728}(5795, \cdot)\)	$7728$	$7728$	$4$	4.4.477775872.5	\(\mathbb{Q}(i)\)	even		✓	✓
7728.bm	\(\chi_{7728}(2437, \cdot)\)$,$ \(\chi_{7728}(6301, \cdot)\)	$7728$	$368$	$4$	4.0.1083392.5	\(\mathbb{Q}(i)\)	odd			✓
7728.bn	\(\chi_{7728}(3221, \cdot)\)$,$ \(\chi_{7728}(7085, \cdot)\)	$7728$	$48$	$4$	4.0.18432.2	\(\mathbb{Q}(i)\)	odd			✓
7728.bo	\(\chi_{7728}(139, \cdot)\)$,$ \(\chi_{7728}(4003, \cdot)\)	$7728$	$112$	$4$	4.4.100352.1	\(\mathbb{Q}(i)\)	even			✓
7728.bp	\(\chi_{7728}(2899, \cdot)\)$,$ \(\chi_{7728}(6763, \cdot)\)	$7728$	$16$	$4$	4.0.2048.2	\(\mathbb{Q}(i)\)	odd			✓
7728.bq	\(\chi_{7728}(461, \cdot)\)$,$ \(\chi_{7728}(4325, \cdot)\)	$7728$	$336$	$4$	4.4.903168.2	\(\mathbb{Q}(i)\)	even			✓
7728.br	\(\chi_{7728}(3541, \cdot)\)$,$ \(\chi_{7728}(7405, \cdot)\)	$7728$	$2576$	$4$	4.4.53086208.5	\(\mathbb{Q}(i)\)	even			✓
7728.bs	\(\chi_{7728}(827, \cdot)\)$,$ \(\chi_{7728}(4691, \cdot)\)	$7728$	$1104$	$4$	4.0.9750528.5	\(\mathbb{Q}(i)\)	odd			✓
7728.bt	\(\chi_{7728}(1427, \cdot)\)$,$ \(\chi_{7728}(5291, \cdot)\)	$7728$	$336$	$4$	4.0.903168.5	\(\mathbb{Q}(i)\)	odd			✓
7728.bu	\(\chi_{7728}(1933, \cdot)\)$,$ \(\chi_{7728}(5797, \cdot)\)	$7728$	$16$	$4$	\(\Q(\zeta_{16})^+\)	\(\mathbb{Q}(i)\)	even			✓
7728.bv	\(\chi_{7728}(3725, \cdot)\)$,$ \(\chi_{7728}(7589, \cdot)\)	$7728$	$1104$	$4$	4.4.9750528.2	\(\mathbb{Q}(i)\)	even			✓
7728.bw	\(\chi_{7728}(643, \cdot)\)$,$ \(\chi_{7728}(4507, \cdot)\)	$7728$	$2576$	$4$	4.0.53086208.14	\(\mathbb{Q}(i)\)	odd			✓
7728.bx	\(\chi_{7728}(47, \cdot)\)$,$ \(\chi_{7728}(1151, \cdot)\)	$7728$	$84$	$6$	6.0.29042496.1	\(\mathbb{Q}(\zeta_3)\)	odd			✓