LMFDB - Dirichlet character search results

Refine search

Modulus	Conductor	Order	Real

Parity	Primitive	Minimal	Results to display

		Sort order	Select

Results (1-50 of at least 1000)

Next To download results, determine the number of results.

Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Minimal
221760.a	$\chi_{221760}(1, \cdot)$	$221760$	$1$	$1$	$\Q$	$\Q$	even	✓
221760.b	$\chi_{221760}(106721, \cdot)$	$221760$	$1848$	$2$	$\Q(\sqrt{-462}) $	$\Q$	odd	✓	✓
221760.c	$\chi_{221760}(79199, \cdot)$	$221760$	$1320$	$2$	$\Q(\sqrt{-330}) $	$\Q$	odd	✓	✓
221760.d	$\chi_{221760}(135521, \cdot)$	$221760$	$24$	$2$	$\Q(\sqrt{-6}) $	$\Q$	odd	✓	✓
221760.e	$\chi_{221760}(171359, \cdot)$	$221760$	$840$	$2$	$\Q(\sqrt{-210}) $	$\Q$	odd	✓	✓
221760.f	$\chi_{221760}(197119, \cdot)$	$221760$	$1540$	$2$	$\Q(\sqrt{-385}) $	$\Q$	odd	✓
221760.g	$\chi_{221760}(161281, \cdot)$	$221760$	$11$	$2$	$\Q(\sqrt{-11}) $	$\Q$	odd	✓
221760.h	$\chi_{221760}(4159, \cdot)$	$221760$	$20$	$2$	$\Q(\sqrt{-5}) $	$\Q$	odd	✓
221760.i	$\chi_{221760}(31681, \cdot)$	$221760$	$7$	$2$	$\Q(\sqrt{-7}) $	$\Q$	odd	✓
221760.j	$\chi_{221760}(148609, \cdot)$	$221760$	$385$	$2$	$\Q(\sqrt{385}) $	$\Q$	even	✓
221760.k	$\chi_{221760}(209791, \cdot)$	$221760$	$44$	$2$	$\Q(\sqrt{11}) $	$\Q$	even	✓
221760.l	$\chi_{221760}(177409, \cdot)$	$221760$	$5$	$2$	$\Q(\sqrt{5}) $	$\Q$	even	✓
221760.m	$\chi_{221760}(80191, \cdot)$	$221760$	$28$	$2$	$\Q(\sqrt{7}) $	$\Q$	even	✓
221760.n	$\chi_{221760}(155231, \cdot)$	$221760$	$1848$	$2$	$\Q(\sqrt{462}) $	$\Q$	even	✓	✓
221760.o	$\chi_{221760}(30689, \cdot)$	$221760$	$1320$	$2$	$\Q(\sqrt{330}) $	$\Q$	even	✓	✓
221760.p	$\chi_{221760}(184031, \cdot)$	$221760$	$24$	$2$	$\Q(\sqrt{6}) $	$\Q$	even	✓	✓
221760.q	$\chi_{221760}(122849, \cdot)$	$221760$	$840$	$2$	$\Q(\sqrt{210}) $	$\Q$	even	✓	✓
221760.r	$\chi_{221760}(28799, \cdot)$	$221760$	$60$	$2$	$\Q(\sqrt{15}) $	$\Q$	even	✓
221760.s	$\chi_{221760}(56321, \cdot)$	$221760$	$21$	$2$	$\Q(\sqrt{21}) $	$\Q$	even	✓
221760.t	$\chi_{221760}(221759, \cdot)$	$221760$	$4620$	$2$	$\Q(\sqrt{1155}) $	$\Q$	even	✓
221760.u	$\chi_{221760}(185921, \cdot)$	$221760$	$33$	$2$	$\Q(\sqrt{33}) $	$\Q$	even	✓
221760.v	$\chi_{221760}(110881, \cdot)$	$221760$	$8$	$2$	$\Q(\sqrt{2}) $	$\Q$	even	✓	✓
221760.w	$\chi_{221760}(146719, \cdot)$	$221760$	$280$	$2$	$\Q(\sqrt{70}) $	$\Q$	even	✓	✓
221760.x	$\chi_{221760}(82081, \cdot)$	$221760$	$616$	$2$	$\Q(\sqrt{154}) $	$\Q$	even	✓	✓
221760.y	$\chi_{221760}(54559, \cdot)$	$221760$	$440$	$2$	$\Q(\sqrt{110}) $	$\Q$	even	✓	✓
221760.z	$\chi_{221760}(159391, \cdot)$	$221760$	$8$	$2$	$\Q(\sqrt{-2}) $	$\Q$	odd	✓	✓
221760.ba	$\chi_{221760}(98209, \cdot)$	$221760$	$280$	$2$	$\Q(\sqrt{-70}) $	$\Q$	odd	✓	✓
221760.bb	$\chi_{221760}(130591, \cdot)$	$221760$	$616$	$2$	$\Q(\sqrt{-154}) $	$\Q$	odd	✓	✓
221760.bc	$\chi_{221760}(6049, \cdot)$	$221760$	$440$	$2$	$\Q(\sqrt{-110}) $	$\Q$	odd	✓	✓
221760.bd	$\chi_{221760}(202049, \cdot)$	$221760$	$15$	$2$	$\Q(\sqrt{-15}) $	$\Q$	odd	✓
221760.be	$\chi_{221760}(104831, \cdot)$	$221760$	$84$	$2$	$\Q(\sqrt{-21}) $	$\Q$	odd	✓
221760.bf	$\chi_{221760}(173249, \cdot)$	$221760$	$1155$	$2$	$\Q(\sqrt{-1155}) $	$\Q$	odd	✓
221760.bg	$\chi_{221760}(12671, \cdot)$	$221760$	$132$	$2$	$\Q(\sqrt{-33}) $	$\Q$	odd	✓
221760.bh	$\chi_{221760}(191071, \cdot)$	$221760$	$56$	$2$	$\Q(\sqrt{14}) $	$\Q$	even	✓	✓
221760.bi	$\chi_{221760}(66529, \cdot)$	$221760$	$40$	$2$	$\Q(\sqrt{10}) $	$\Q$	even	✓	✓
221760.bj	$\chi_{221760}(98911, \cdot)$	$221760$	$88$	$2$	$\Q(\sqrt{22}) $	$\Q$	even	✓	✓
221760.bk	$\chi_{221760}(37729, \cdot)$	$221760$	$3080$	$2$	$\Q(\sqrt{770}) $	$\Q$	even	✓	✓
221760.bl	$\chi_{221760}(11969, \cdot)$	$221760$	$105$	$2$	$\Q(\sqrt{105}) $	$\Q$	even	✓
221760.bm	$\chi_{221760}(73151, \cdot)$	$221760$	$12$	$2$	$\Q(\sqrt{3}) $	$\Q$	even	✓
221760.bn	$\chi_{221760}(141569, \cdot)$	$221760$	$165$	$2$	$\Q(\sqrt{165}) $	$\Q$	even	✓
221760.bo	$\chi_{221760}(44351, \cdot)$	$221760$	$924$	$2$	$\Q(\sqrt{231}) $	$\Q$	even	✓
221760.bp	$\chi_{221760}(60479, \cdot)$	$221760$	$420$	$2$	$\Q(\sqrt{-105}) $	$\Q$	odd	✓
221760.bq	$\chi_{221760}(24641, \cdot)$	$221760$	$3$	$2$	$\Q(\sqrt{-3}) $	$\Q$	odd	✓
221760.br	$\chi_{221760}(190079, \cdot)$	$221760$	$660$	$2$	$\Q(\sqrt{-165}) $	$\Q$	odd	✓
221760.bs	$\chi_{221760}(217601, \cdot)$	$221760$	$231$	$2$	$\Q(\sqrt{-231}) $	$\Q$	odd	✓
221760.bt	$\chi_{221760}(142561, \cdot)$	$221760$	$56$	$2$	$\Q(\sqrt{-14}) $	$\Q$	odd	✓	✓
221760.bu	$\chi_{221760}(115039, \cdot)$	$221760$	$40$	$2$	$\Q(\sqrt{-10}) $	$\Q$	odd	✓	✓
221760.bv	$\chi_{221760}(50401, \cdot)$	$221760$	$88$	$2$	$\Q(\sqrt{-22}) $	$\Q$	odd	✓	✓
221760.bw	$\chi_{221760}(86239, \cdot)$	$221760$	$3080$	$2$	$\Q(\sqrt{-770}) $	$\Q$	odd	✓	✓
221760.bx	$\chi_{221760}(116929, \cdot)$	$221760$	$55$	$2$	$\Q(\sqrt{-55}) $	$\Q$	odd	✓

Next To download results, determine the number of results.

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 at least 1000)

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	Minimal
221760.a	\(\chi_{221760}(1, \cdot)\)	$221760$	$1$	$1$	\(\Q\)	\(\Q\)	even	✓
221760.b	\(\chi_{221760}(106721, \cdot)\)	$221760$	$1848$	$2$	\(\Q(\sqrt{-462}) \)	\(\Q\)	odd	✓	✓
221760.c	\(\chi_{221760}(79199, \cdot)\)	$221760$	$1320$	$2$	\(\Q(\sqrt{-330}) \)	\(\Q\)	odd	✓	✓
221760.d	\(\chi_{221760}(135521, \cdot)\)	$221760$	$24$	$2$	\(\Q(\sqrt{-6}) \)	\(\Q\)	odd	✓	✓
221760.e	\(\chi_{221760}(171359, \cdot)\)	$221760$	$840$	$2$	\(\Q(\sqrt{-210}) \)	\(\Q\)	odd	✓	✓
221760.f	\(\chi_{221760}(197119, \cdot)\)	$221760$	$1540$	$2$	\(\Q(\sqrt{-385}) \)	\(\Q\)	odd	✓
221760.g	\(\chi_{221760}(161281, \cdot)\)	$221760$	$11$	$2$	\(\Q(\sqrt{-11}) \)	\(\Q\)	odd	✓
221760.h	\(\chi_{221760}(4159, \cdot)\)	$221760$	$20$	$2$	\(\Q(\sqrt{-5}) \)	\(\Q\)	odd	✓
221760.i	\(\chi_{221760}(31681, \cdot)\)	$221760$	$7$	$2$	\(\Q(\sqrt{-7}) \)	\(\Q\)	odd	✓
221760.j	\(\chi_{221760}(148609, \cdot)\)	$221760$	$385$	$2$	\(\Q(\sqrt{385}) \)	\(\Q\)	even	✓
221760.k	\(\chi_{221760}(209791, \cdot)\)	$221760$	$44$	$2$	\(\Q(\sqrt{11}) \)	\(\Q\)	even	✓
221760.l	\(\chi_{221760}(177409, \cdot)\)	$221760$	$5$	$2$	\(\Q(\sqrt{5}) \)	\(\Q\)	even	✓
221760.m	\(\chi_{221760}(80191, \cdot)\)	$221760$	$28$	$2$	\(\Q(\sqrt{7}) \)	\(\Q\)	even	✓
221760.n	\(\chi_{221760}(155231, \cdot)\)	$221760$	$1848$	$2$	\(\Q(\sqrt{462}) \)	\(\Q\)	even	✓	✓
221760.o	\(\chi_{221760}(30689, \cdot)\)	$221760$	$1320$	$2$	\(\Q(\sqrt{330}) \)	\(\Q\)	even	✓	✓
221760.p	\(\chi_{221760}(184031, \cdot)\)	$221760$	$24$	$2$	\(\Q(\sqrt{6}) \)	\(\Q\)	even	✓	✓
221760.q	\(\chi_{221760}(122849, \cdot)\)	$221760$	$840$	$2$	\(\Q(\sqrt{210}) \)	\(\Q\)	even	✓	✓
221760.r	\(\chi_{221760}(28799, \cdot)\)	$221760$	$60$	$2$	\(\Q(\sqrt{15}) \)	\(\Q\)	even	✓
221760.s	\(\chi_{221760}(56321, \cdot)\)	$221760$	$21$	$2$	\(\Q(\sqrt{21}) \)	\(\Q\)	even	✓
221760.t	\(\chi_{221760}(221759, \cdot)\)	$221760$	$4620$	$2$	\(\Q(\sqrt{1155}) \)	\(\Q\)	even	✓
221760.u	\(\chi_{221760}(185921, \cdot)\)	$221760$	$33$	$2$	\(\Q(\sqrt{33}) \)	\(\Q\)	even	✓
221760.v	\(\chi_{221760}(110881, \cdot)\)	$221760$	$8$	$2$	\(\Q(\sqrt{2}) \)	\(\Q\)	even	✓	✓
221760.w	\(\chi_{221760}(146719, \cdot)\)	$221760$	$280$	$2$	\(\Q(\sqrt{70}) \)	\(\Q\)	even	✓	✓
221760.x	\(\chi_{221760}(82081, \cdot)\)	$221760$	$616$	$2$	\(\Q(\sqrt{154}) \)	\(\Q\)	even	✓	✓
221760.y	\(\chi_{221760}(54559, \cdot)\)	$221760$	$440$	$2$	\(\Q(\sqrt{110}) \)	\(\Q\)	even	✓	✓
221760.z	\(\chi_{221760}(159391, \cdot)\)	$221760$	$8$	$2$	\(\Q(\sqrt{-2}) \)	\(\Q\)	odd	✓	✓
221760.ba	\(\chi_{221760}(98209, \cdot)\)	$221760$	$280$	$2$	\(\Q(\sqrt{-70}) \)	\(\Q\)	odd	✓	✓
221760.bb	\(\chi_{221760}(130591, \cdot)\)	$221760$	$616$	$2$	\(\Q(\sqrt{-154}) \)	\(\Q\)	odd	✓	✓
221760.bc	\(\chi_{221760}(6049, \cdot)\)	$221760$	$440$	$2$	\(\Q(\sqrt{-110}) \)	\(\Q\)	odd	✓	✓
221760.bd	\(\chi_{221760}(202049, \cdot)\)	$221760$	$15$	$2$	\(\Q(\sqrt{-15}) \)	\(\Q\)	odd	✓
221760.be	\(\chi_{221760}(104831, \cdot)\)	$221760$	$84$	$2$	\(\Q(\sqrt{-21}) \)	\(\Q\)	odd	✓
221760.bf	\(\chi_{221760}(173249, \cdot)\)	$221760$	$1155$	$2$	\(\Q(\sqrt{-1155}) \)	\(\Q\)	odd	✓
221760.bg	\(\chi_{221760}(12671, \cdot)\)	$221760$	$132$	$2$	\(\Q(\sqrt{-33}) \)	\(\Q\)	odd	✓
221760.bh	\(\chi_{221760}(191071, \cdot)\)	$221760$	$56$	$2$	\(\Q(\sqrt{14}) \)	\(\Q\)	even	✓	✓
221760.bi	\(\chi_{221760}(66529, \cdot)\)	$221760$	$40$	$2$	\(\Q(\sqrt{10}) \)	\(\Q\)	even	✓	✓
221760.bj	\(\chi_{221760}(98911, \cdot)\)	$221760$	$88$	$2$	\(\Q(\sqrt{22}) \)	\(\Q\)	even	✓	✓
221760.bk	\(\chi_{221760}(37729, \cdot)\)	$221760$	$3080$	$2$	\(\Q(\sqrt{770}) \)	\(\Q\)	even	✓	✓
221760.bl	\(\chi_{221760}(11969, \cdot)\)	$221760$	$105$	$2$	\(\Q(\sqrt{105}) \)	\(\Q\)	even	✓
221760.bm	\(\chi_{221760}(73151, \cdot)\)	$221760$	$12$	$2$	\(\Q(\sqrt{3}) \)	\(\Q\)	even	✓
221760.bn	\(\chi_{221760}(141569, \cdot)\)	$221760$	$165$	$2$	\(\Q(\sqrt{165}) \)	\(\Q\)	even	✓
221760.bo	\(\chi_{221760}(44351, \cdot)\)	$221760$	$924$	$2$	\(\Q(\sqrt{231}) \)	\(\Q\)	even	✓
221760.bp	\(\chi_{221760}(60479, \cdot)\)	$221760$	$420$	$2$	\(\Q(\sqrt{-105}) \)	\(\Q\)	odd	✓
221760.bq	\(\chi_{221760}(24641, \cdot)\)	$221760$	$3$	$2$	\(\Q(\sqrt{-3}) \)	\(\Q\)	odd	✓
221760.br	\(\chi_{221760}(190079, \cdot)\)	$221760$	$660$	$2$	\(\Q(\sqrt{-165}) \)	\(\Q\)	odd	✓
221760.bs	\(\chi_{221760}(217601, \cdot)\)	$221760$	$231$	$2$	\(\Q(\sqrt{-231}) \)	\(\Q\)	odd	✓
221760.bt	\(\chi_{221760}(142561, \cdot)\)	$221760$	$56$	$2$	\(\Q(\sqrt{-14}) \)	\(\Q\)	odd	✓	✓
221760.bu	\(\chi_{221760}(115039, \cdot)\)	$221760$	$40$	$2$	\(\Q(\sqrt{-10}) \)	\(\Q\)	odd	✓	✓
221760.bv	\(\chi_{221760}(50401, \cdot)\)	$221760$	$88$	$2$	\(\Q(\sqrt{-22}) \)	\(\Q\)	odd	✓	✓
221760.bw	\(\chi_{221760}(86239, \cdot)\)	$221760$	$3080$	$2$	\(\Q(\sqrt{-770}) \)	\(\Q\)	odd	✓	✓
221760.bx	\(\chi_{221760}(116929, \cdot)\)	$221760$	$55$	$2$	\(\Q(\sqrt{-55}) \)	\(\Q\)	odd	✓