LMFDB - Newform search results

Refine search

Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad $p$	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

					Sort order	Select

Results (1-50 of 74 matches)

Next Download displayed columns for results to

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				A-L signs				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	3	5	263	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
23670.2.a.a	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-1$	$-3$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-3q^{7}-q^{8}+q^{10}+\cdots$
23670.2.a.b	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-1$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+2q^{11}+\cdots$
23670.2.a.c	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-1$	$1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
23670.2.a.d	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$-1$	$2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}+2q^{7}-q^{8}+q^{10}+\cdots$
23670.2.a.e	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$-1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
23670.2.a.f	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-4q^{11}+\cdots$
23670.2.a.g	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+4q^{11}+\cdots$
23670.2.a.h	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$3$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+3q^{7}-q^{8}-q^{10}+\cdots$
23670.2.a.i	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$4$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+4q^{7}-q^{8}-q^{10}+\cdots$
23670.2.a.j	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$-1$	$0$	$1$	$5$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+5q^{7}-q^{8}-q^{10}+\cdots$
23670.2.a.k	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$1$	$0$	$-1$	$-4$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-4q^{7}+q^{8}-q^{10}+\cdots$
23670.2.a.l	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$1$	$0$	$-1$	$-4$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-4q^{7}+q^{8}-q^{10}+\cdots$
23670.2.a.m	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$1$	$0$	$-1$	$-2$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots$
23670.2.a.n	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$1$	$0$	$-1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}-2q^{11}+\cdots$
23670.2.a.o	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$1$	$0$	$-1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}-2q^{11}+\cdots$
23670.2.a.p	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$1$	$0$	$-1$	$2$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots$
23670.2.a.q	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$1$	$0$	$-1$	$2$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots$
23670.2.a.r	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$1$	$0$	$-1$	$4$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+4q^{7}+q^{8}-q^{10}+\cdots$
23670.2.a.s	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$1$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}+2q^{11}+\cdots$
23670.2.a.t	$23670$	$2$	23670.a	1.a	$1$	$1$	$1$	$189.006$	$\Q$	None	✓	?				$-1$		$1$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
23670.2.a.u	$23670$	$2$	23670.a	1.a	$1$	$2$	$2$	$189.006$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$0$	$-2$	$-4$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
23670.2.a.v	$23670$	$2$	23670.a	1.a	$1$	$2$	$2$	$189.006$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$-2$	$0$	$-2$	$-4$	$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
23670.2.a.w	$23670$	$2$	23670.a	1.a	$1$	$2$	$2$	$189.006$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$-2$	$0$	$-2$	$0$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
23670.2.a.x	$23670$	$2$	23670.a	1.a	$1$	$2$	$2$	$189.006$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$-2$	$0$	$-2$	$2$	$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
23670.2.a.y	$23670$	$2$	23670.a	1.a	$1$	$2$	$2$	$189.006$	$\Q(\sqrt{21}) $	None	✓	?				$-1$		$-2$	$0$	$-2$	$3$	$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
23670.2.a.z	$23670$	$2$	23670.a	1.a	$1$	$2$	$2$	$189.006$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$0$	$-2$	$4$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
23670.2.a.ba	$23670$	$2$	23670.a	1.a	$1$	$2$	$2$	$189.006$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$0$	$2$	$-6$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
23670.2.a.bb	$23670$	$2$	23670.a	1.a	$1$	$2$	$2$	$189.006$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$0$	$2$	$2$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
23670.2.a.bc	$23670$	$2$	23670.a	1.a	$1$	$2$	$2$	$189.006$	$\Q(\sqrt{13}) $	None	✓	?				$-1$		$-2$	$0$	$2$	$6$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
23670.2.a.bd	$23670$	$2$	23670.a	1.a	$1$	$2$	$2$	$189.006$	$\Q(\sqrt{29}) $	None	✓	?				$-1$		$2$	$0$	$-2$	$2$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
23670.2.a.be	$23670$	$2$	23670.a	1.a	$1$	$2$	$2$	$189.006$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$2$	$0$	$-2$	$2$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
23670.2.a.bf	$23670$	$2$	23670.a	1.a	$1$	$2$	$2$	$189.006$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$2$	$0$	$-2$	$2$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
23670.2.a.bg	$23670$	$2$	23670.a	1.a	$1$	$2$	$2$	$189.006$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$2$	$0$	$2$	$-4$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
23670.2.a.bh	$23670$	$2$	23670.a	1.a	$1$	$2$	$2$	$189.006$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$2$	$0$	$2$	$0$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
23670.2.a.bi	$23670$	$2$	23670.a	1.a	$1$	$2$	$2$	$189.006$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$2$	$0$	$2$	$2$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
23670.2.a.bj	$23670$	$2$	23670.a	1.a	$1$	$3$	$3$	$189.006$	3.3.404.1	None	✓	?				$-1$		$-3$	$0$	$-3$	$-5$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
23670.2.a.bk	$23670$	$2$	23670.a	1.a	$1$	$3$	$3$	$189.006$	3.3.229.1	None	✓	?				$-1$		$-3$	$0$	$-3$	$-3$	$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
23670.2.a.bl	$23670$	$2$	23670.a	1.a	$1$	$3$	$3$	$189.006$	3.3.148.1	None	✓	?				$-1$		$3$	$0$	$-3$	$-5$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
23670.2.a.bm	$23670$	$2$	23670.a	1.a	$1$	$3$	$3$	$189.006$	3.3.2024.1	None	✓	?				$-1$		$3$	$0$	$-3$	$-2$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
23670.2.a.bn	$23670$	$2$	23670.a	1.a	$1$	$3$	$3$	$189.006$	3.3.316.1	None	✓	?				$-1$		$3$	$0$	$-3$	$2$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
23670.2.a.bo	$23670$	$2$	23670.a	1.a	$1$	$3$	$3$	$189.006$	3.3.229.1	None	✓	?				$-1$		$3$	$0$	$3$	$2$	$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
23670.2.a.bp	$23670$	$2$	23670.a	1.a	$1$	$3$	$3$	$189.006$	3.3.404.1	None	✓	?				$-1$		$3$	$0$	$3$	$6$	$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
23670.2.a.bq	$23670$	$2$	23670.a	1.a	$1$	$4$	$4$	$189.006$	4.4.78292.1	None	✓	?				$-1$		$-4$	$0$	$4$	$-5$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
23670.2.a.br	$23670$	$2$	23670.a	1.a	$1$	$4$	$4$	$189.006$	4.4.8468.1	None	✓	?				$-1$		$4$	$0$	$-4$	$-9$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
23670.2.a.bs	$23670$	$2$	23670.a	1.a	$1$	$4$	$4$	$189.006$	4.4.3981.1	None	✓	?				$-1$		$4$	$0$	$-4$	$2$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
23670.2.a.bt	$23670$	$2$	23670.a	1.a	$1$	$4$	$4$	$189.006$	$\Q(\sqrt{94 +10 \sqrt{5}})$	None	✓	?				$-1$		$4$	$0$	$4$	$0$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
23670.2.a.bu	$23670$	$2$	23670.a	1.a	$1$	$5$	$5$	$189.006$	5.5.207184.1	None	✓	?				$-1$		$-5$	$0$	$-5$	$-10$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
23670.2.a.bv	$23670$	$2$	23670.a	1.a	$1$	$5$	$5$	$189.006$	5.5.153424.1	None	✓	?				$-1$		$-5$	$0$	$5$	$-2$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
23670.2.a.bw	$23670$	$2$	23670.a	1.a	$1$	$5$	$5$	$189.006$	5.5.230224.1	None	✓	?				$-1$		$-5$	$0$	$5$	$4$	$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
23670.2.a.bx	$23670$	$2$	23670.a	1.a	$1$	$5$	$5$	$189.006$	5.5.6203297.1	None	✓	?				$-1$		$5$	$0$	$-5$	$2$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$

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 $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 74 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.