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 62 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	7	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
44436.2.a.a	$44436$	$2$	44436.a	1.a	$1$	$1$	$1$	$354.823$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-4$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-4q^{5}+q^{7}+q^{9}-2q^{11}-6q^{13}+\cdots$
44436.2.a.b	$44436$	$2$	44436.a	1.a	$1$	$1$	$1$	$354.823$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}-4q^{13}+q^{15}+\cdots$
44436.2.a.c	$44436$	$2$	44436.a	1.a	$1$	$1$	$1$	$354.823$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots$
44436.2.a.d	$44436$	$2$	44436.a	1.a	$1$	$1$	$1$	$354.823$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$-1$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots$
44436.2.a.e	$44436$	$2$	44436.a	1.a	$1$	$1$	$1$	$354.823$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$0$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{7}+q^{9}+5q^{11}-6q^{13}+\cdots$
44436.2.a.f	$44436$	$2$	44436.a	1.a	$1$	$1$	$1$	$354.823$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots$
44436.2.a.g	$44436$	$2$	44436.a	1.a	$1$	$1$	$1$	$354.823$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots$
44436.2.a.h	$44436$	$2$	44436.a	1.a	$1$	$1$	$1$	$354.823$	$\Q$	None	✓	?				$-1$		$0$	$-1$	$1$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}-4q^{13}-q^{15}+\cdots$
44436.2.a.i	$44436$	$2$	44436.a	1.a	$1$	$1$	$1$	$354.823$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-3$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-3q^{5}-q^{7}+q^{9}-4q^{13}-3q^{15}+\cdots$
44436.2.a.j	$44436$	$2$	44436.a	1.a	$1$	$1$	$1$	$354.823$	$\Q$	None	✓	?				$-1$		$0$	$1$	$-1$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}-4q^{13}+\cdots$
44436.2.a.k	$44436$	$2$	44436.a	1.a	$1$	$1$	$1$	$354.823$	$\Q$	None	✓	?				$-1$		$0$	$1$	$0$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{7}+q^{9}-3q^{11}+2q^{13}+\cdots$
44436.2.a.l	$44436$	$2$	44436.a	1.a	$1$	$1$	$1$	$354.823$	$\Q$	None	✓	?				$-1$		$0$	$1$	$0$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{7}+q^{9}+6q^{11}+2q^{13}+\cdots$
44436.2.a.m	$44436$	$2$	44436.a	1.a	$1$	$1$	$1$	$354.823$	$\Q$	None	✓	?				$-1$		$0$	$1$	$1$	$-1$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}+q^{9}+4q^{11}-4q^{13}+\cdots$
44436.2.a.n	$44436$	$2$	44436.a	1.a	$1$	$1$	$1$	$354.823$	$\Q$	None	✓	?				$-1$		$0$	$1$	$3$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+3q^{5}+q^{7}+q^{9}-4q^{13}+3q^{15}+\cdots$
44436.2.a.o	$44436$	$2$	44436.a	1.a	$1$	$2$	$2$	$354.823$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$-2$	$-4$	$-2$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
44436.2.a.p	$44436$	$2$	44436.a	1.a	$1$	$2$	$2$	$354.823$	$\Q(\sqrt{13}) $	None	✓	?				$-1$		$0$	$-2$	$-1$	$-2$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
44436.2.a.q	$44436$	$2$	44436.a	1.a	$1$	$2$	$2$	$354.823$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$-2$	$-1$	$2$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
44436.2.a.r	$44436$	$2$	44436.a	1.a	$1$	$2$	$2$	$354.823$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$0$	$-2$	$4$	$2$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
44436.2.a.s	$44436$	$2$	44436.a	1.a	$1$	$2$	$2$	$354.823$	$\Q(\sqrt{13}) $	None	✓	?				$-1$		$0$	$-2$	$5$	$2$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
44436.2.a.t	$44436$	$2$	44436.a	1.a	$1$	$2$	$2$	$354.823$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$2$	$-1$	$-2$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
44436.2.a.u	$44436$	$2$	44436.a	1.a	$1$	$2$	$2$	$354.823$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$2$	$1$	$2$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
44436.2.a.v	$44436$	$2$	44436.a	1.a	$1$	$2$	$2$	$354.823$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$0$	$2$	$5$	$-2$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
44436.2.a.w	$44436$	$2$	44436.a	1.a	$1$	$3$	$3$	$354.823$	3.3.2713.1	None	✓	?				$-1$		$0$	$-3$	$-3$	$-3$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
44436.2.a.x	$44436$	$2$	44436.a	1.a	$1$	$3$	$3$	$354.823$	3.3.1509.1	None	✓	?				$-1$		$0$	$-3$	$1$	$-3$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
44436.2.a.y	$44436$	$2$	44436.a	1.a	$1$	$3$	$3$	$354.823$	3.3.2713.1	None	✓	?				$-1$		$0$	$-3$	$3$	$3$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
44436.2.a.z	$44436$	$2$	44436.a	1.a	$1$	$3$	$3$	$354.823$	3.3.1101.1	None	✓	?				$-1$		$0$	$3$	$-1$	$3$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
44436.2.a.ba	$44436$	$2$	44436.a	1.a	$1$	$4$	$4$	$354.823$	4.4.218121.1	None	✓	?				$-1$		$0$	$-4$	$-2$	$-4$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
44436.2.a.bb	$44436$	$2$	44436.a	1.a	$1$	$4$	$4$	$354.823$	4.4.21568.1	None	✓	?				$-1$		$0$	$-4$	$0$	$-4$	$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
44436.2.a.bc	$44436$	$2$	44436.a	1.a	$1$	$4$	$4$	$354.823$	4.4.21568.1	None	✓	?				$-1$		$0$	$-4$	$0$	$4$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
44436.2.a.bd	$44436$	$2$	44436.a	1.a	$1$	$4$	$4$	$354.823$	4.4.218121.1	None	✓	?				$-1$		$0$	$-4$	$2$	$4$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
44436.2.a.be	$44436$	$2$	44436.a	1.a	$1$	$4$	$4$	$354.823$	$\Q(\zeta_{24})^+$	None	✓	?				$-1$		$0$	$4$	$-4$	$-4$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
44436.2.a.bf	$44436$	$2$	44436.a	1.a	$1$	$4$	$4$	$354.823$	4.4.53401.1	None	✓	?				$-1$		$0$	$4$	$-4$	$4$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
44436.2.a.bg	$44436$	$2$	44436.a	1.a	$1$	$4$	$4$	$354.823$	4.4.28473.1	None	✓	?				$-1$		$0$	$4$	$-2$	$4$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
44436.2.a.bh	$44436$	$2$	44436.a	1.a	$1$	$4$	$4$	$354.823$	4.4.28473.1	None	✓	?				$-1$		$0$	$4$	$2$	$-4$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
44436.2.a.bi	$44436$	$2$	44436.a	1.a	$1$	$4$	$4$	$354.823$	4.4.53401.1	None	✓	?				$-1$		$0$	$4$	$4$	$-4$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
44436.2.a.bj	$44436$	$2$	44436.a	1.a	$1$	$4$	$4$	$354.823$	$\Q(\zeta_{24})^+$	None	✓	?				$-1$		$0$	$4$	$4$	$4$	$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
44436.2.a.bk	$44436$	$2$	44436.a	1.a	$1$	$5$	$5$	$354.823$	5.5.14982192.1	None	✓	?				$-1$		$0$	$-5$	$-2$	$-5$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
44436.2.a.bl	$44436$	$2$	44436.a	1.a	$1$	$5$	$5$	$354.823$	5.5.14982192.1	None	✓	?				$-1$		$0$	$-5$	$2$	$5$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
44436.2.a.bm	$44436$	$2$	44436.a	1.a	$1$	$5$	$5$	$354.823$	$\Q(\zeta_{22})^+$	None	✓	?				$-1$		$0$	$5$	$-9$	$-5$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
44436.2.a.bn	$44436$	$2$	44436.a	1.a	$1$	$5$	$5$	$354.823$	5.5.2851952.1	None	✓	?				$-1$		$0$	$5$	$-2$	$5$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
44436.2.a.bo	$44436$	$2$	44436.a	1.a	$1$	$5$	$5$	$354.823$	5.5.2851952.1	None	✓	?				$-1$		$0$	$5$	$2$	$-5$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
44436.2.a.bp	$44436$	$2$	44436.a	1.a	$1$	$5$	$5$	$354.823$	$\Q(\zeta_{22})^+$	None	✓	?				$-1$		$0$	$5$	$9$	$5$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
44436.2.a.bq	$44436$	$2$	44436.a	1.a	$1$	$8$	$8$	$354.823$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$0$	$-8$	$-4$	$8$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
44436.2.a.br	$44436$	$2$	44436.a	1.a	$1$	$8$	$8$	$354.823$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$0$	$-8$	$0$	$-8$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
44436.2.a.bs	$44436$	$2$	44436.a	1.a	$1$	$8$	$8$	$354.823$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$0$	$-8$	$0$	$8$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
44436.2.a.bt	$44436$	$2$	44436.a	1.a	$1$	$8$	$8$	$354.823$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$0$	$-8$	$4$	$-8$	$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
44436.2.a.bu	$44436$	$2$	44436.a	1.a	$1$	$10$	$10$	$354.823$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	?				$-1$		$0$	$10$	$-4$	$10$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
44436.2.a.bv	$44436$	$2$	44436.a	1.a	$1$	$10$	$10$	$354.823$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	?				$-1$		$0$	$10$	$4$	$-10$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
44436.2.a.bw	$44436$	$2$	44436.a	1.a	$1$	$12$	$12$	$354.823$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$0$	$12$	$-4$	$-12$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
44436.2.a.bx	$44436$	$2$	44436.a	1.a	$1$	$12$	$12$	$354.823$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?				$-1$		$0$	$12$	$4$	$12$	$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$

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 62 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.