LMFDB - Newform search results

Refine search

Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
		Only for weight 1:

				Sort order	Select

Results (1-50 of 68 matches)

Next Download displayed columns for results to

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6048.2.a.a	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-3$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-q^{7}-2q^{11}-4q^{13}+5q^{17}+\cdots$
6048.2.a.b	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-3$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-q^{7}-q^{11}+2q^{13}-2q^{17}+\cdots$
6048.2.a.c	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-3$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+q^{7}+q^{11}+2q^{13}-2q^{17}+\cdots$
6048.2.a.d	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-3$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+q^{7}+2q^{11}-4q^{13}+5q^{17}+\cdots$
6048.2.a.e	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{7}-3q^{11}+2q^{13}+2q^{17}+\cdots$
6048.2.a.f	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{7}-2q^{11}-q^{17}+4q^{19}+\cdots$
6048.2.a.g	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{7}+2q^{11}+4q^{13}+3q^{17}+\cdots$
6048.2.a.h	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}-2q^{11}+4q^{13}+3q^{17}+\cdots$
6048.2.a.i	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}+2q^{11}-q^{17}-4q^{19}+\cdots$
6048.2.a.j	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}+3q^{11}+2q^{13}+2q^{17}+\cdots$
6048.2.a.k	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{7}-4q^{11}+q^{13}+5q^{17}+2q^{19}+\cdots$
6048.2.a.l	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{7}+4q^{11}+q^{13}-5q^{17}+2q^{19}+\cdots$
6048.2.a.m	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-4q^{11}+q^{13}-5q^{17}-2q^{19}+\cdots$
6048.2.a.n	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{7}+4q^{11}+q^{13}+5q^{17}-2q^{19}+\cdots$
6048.2.a.o	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-q^{7}-2q^{11}+4q^{13}-3q^{17}+\cdots$
6048.2.a.p	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-q^{7}+2q^{11}+q^{17}+4q^{19}+\cdots$
6048.2.a.q	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-q^{7}+3q^{11}+2q^{13}-2q^{17}+\cdots$
6048.2.a.r	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{7}-3q^{11}+2q^{13}-2q^{17}+\cdots$
6048.2.a.s	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{7}-2q^{11}+q^{17}-4q^{19}+\cdots$
6048.2.a.t	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{7}+2q^{11}+4q^{13}-3q^{17}+\cdots$
6048.2.a.u	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$3$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-q^{7}+q^{11}+2q^{13}+2q^{17}+\cdots$
6048.2.a.v	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$3$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-q^{7}+2q^{11}-4q^{13}-5q^{17}+\cdots$
6048.2.a.w	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$3$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}+q^{7}-2q^{11}-4q^{13}-5q^{17}+\cdots$
6048.2.a.x	$6048$	$2$	6048.a	1.a	$1$	$1$	$1$	$48.294$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}+q^{7}-q^{11}+2q^{13}+2q^{17}+\cdots$
6048.2.a.y	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$-2$	$-2$	$+$	$2$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{5}-q^{7}+(-2-\beta )q^{11}+\cdots$
6048.2.a.z	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{5}-q^{7}+(1-\beta )q^{11}-2\beta q^{13}+\cdots$
6048.2.a.ba	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$-2$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{5}+q^{7}+(-1+\beta )q^{11}+\cdots$
6048.2.a.bb	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$2$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{5}+q^{7}+(2+\beta )q^{11}+\beta q^{13}+\cdots$
6048.2.a.bc	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$0$	$-1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{5}-q^{7}-2\beta q^{11}+(-5+\beta )q^{13}+\cdots$
6048.2.a.bd	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$0$	$-1$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{5}+q^{7}+2\beta q^{11}+(-5+\beta )q^{13}+\cdots$
6048.2.a.be	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$0$	$1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{5}-q^{7}+2\beta q^{11}+(-5+\beta )q^{13}+\cdots$
6048.2.a.bf	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$0$	$1$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{5}+q^{7}-2\beta q^{11}+(-5+\beta )q^{13}+\cdots$
6048.2.a.bg	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}-q^{7}+(-1-\beta )q^{11}+2\beta q^{13}+\cdots$
6048.2.a.bh	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$2$	$-2$	$+$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}-q^{7}+(2-\beta )q^{11}-\beta q^{13}+\cdots$
6048.2.a.bi	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+q^{7}+(-2+\beta )q^{11}-\beta q^{13}+\cdots$
6048.2.a.bj	$6048$	$2$	6048.a	1.a	$1$	$2$	$2$	$48.294$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$2$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{5}+q^{7}+(1+\beta )q^{11}+2\beta q^{13}+\cdots$
6048.2.a.bk	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.39528.1	None	✓	$1$	$0$	$0$	$0$	$-2$	$-4$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{5}-q^{7}-\beta _{1}q^{11}+(2+\cdots)q^{13}+\cdots$
6048.2.a.bl	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.25808.1	None	✓	$1$	$0$	$0$	$0$	$-2$	$-4$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{5}-q^{7}+(1+\beta _{1})q^{11}+\cdots$
6048.2.a.bm	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.22896.1	None	✓	$1$	$1$	$0$	$0$	$-2$	$-4$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{5}-q^{7}-\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots$
6048.2.a.bn	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.25808.1	None	✓	$1$	$1$	$0$	$0$	$-2$	$4$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{5}+q^{7}+(-1-\beta _{1})q^{11}+\cdots$
6048.2.a.bo	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.22896.1	None	✓	$1$	$1$	$0$	$0$	$-2$	$4$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{5}+q^{7}+\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots$
6048.2.a.bp	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.39528.1	None	✓	$1$	$0$	$0$	$0$	$-2$	$4$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{5}+q^{7}+\beta _{1}q^{11}+(2+\cdots)q^{13}+\cdots$
6048.2.a.bq	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.25808.1	None	✓	$1$	$1$	$0$	$0$	$2$	$-4$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{5}-q^{7}+(-1-\beta _{1})q^{11}+\cdots$
6048.2.a.br	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.22896.1	None	✓	$1$	$0$	$0$	$0$	$2$	$-4$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{5}-q^{7}+\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots$
6048.2.a.bs	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.39528.1	None	✓	$1$	$0$	$0$	$0$	$2$	$-4$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{5}-q^{7}+\beta _{1}q^{11}+(2+\beta _{1}+\cdots)q^{13}+\cdots$
6048.2.a.bt	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.39528.1	None	✓	$1$	$0$	$0$	$0$	$2$	$4$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{5}+q^{7}-\beta _{1}q^{11}+(2+\beta _{1}+\cdots)q^{13}+\cdots$
6048.2.a.bu	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.25808.1	None	✓	$1$	$0$	$0$	$0$	$2$	$4$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{5}+q^{7}+(1+\beta _{1})q^{11}+(-1+\cdots)q^{13}+\cdots$
6048.2.a.bv	$6048$	$2$	6048.a	1.a	$1$	$4$	$4$	$48.294$	4.4.22896.1	None	✓	$1$	$0$	$0$	$0$	$2$	$4$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{5}+q^{7}-\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots$
6048.2.c.a	$6048$	$2$	6048.c	8.b	$2$	$2$	$2$	$48.294$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$2$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+2iq^{5}+q^{7}-5iq^{13}-q^{17}+4iq^{19}+\cdots$
6048.2.c.b	$6048$	$2$	6048.c	8.b	$2$	$2$	$2$	$48.294$	$\Q(\sqrt{-1}) $	None		$2$	$0$	$0$	$0$	$0$	$2$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+2iq^{5}+q^{7}+5iq^{13}+q^{17}-4iq^{19}+\cdots$

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 68 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.