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 123 matches)

Next Download to Pari/GP SageMath Magma Oscar

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
3150.2.a.a	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-6q^{11}+q^{13}+\cdots$
3150.2.a.b	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-4q^{11}-3q^{13}+\cdots$
3150.2.a.c	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-2q^{11}+q^{13}+\cdots$
3150.2.a.d	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-2q^{11}+6q^{13}+\cdots$
3150.2.a.e	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-4q^{13}+q^{14}+\cdots$
3150.2.a.f	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-2q^{13}+q^{14}+\cdots$
3150.2.a.g	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-2q^{13}+q^{14}+\cdots$
3150.2.a.h	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+q^{13}+q^{14}+\cdots$
3150.2.a.i	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+4q^{13}+q^{14}+\cdots$
3150.2.a.j	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+5q^{11}-6q^{13}+\cdots$
3150.2.a.k	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}+6q^{11}+2q^{13}+\cdots$
3150.2.a.l	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-6q^{11}-2q^{13}+\cdots$
3150.2.a.m	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-3q^{11}+2q^{13}+\cdots$
3150.2.a.n	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-2q^{11}-q^{13}+\cdots$
3150.2.a.o	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-q^{13}-q^{14}+\cdots$
3150.2.a.p	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+4q^{13}-q^{14}+\cdots$
3150.2.a.q	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+2q^{11}+2q^{13}+\cdots$
3150.2.a.r	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+2q^{11}+7q^{13}+\cdots$
3150.2.a.s	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+4q^{11}-6q^{13}+\cdots$
3150.2.a.t	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+4q^{11}+2q^{13}+\cdots$
3150.2.a.u	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+4q^{11}+3q^{13}+\cdots$
3150.2.a.v	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-6q^{11}+2q^{13}+\cdots$
3150.2.a.w	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-4q^{11}+2q^{13}+\cdots$
3150.2.a.x	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-3q^{11}-2q^{13}+\cdots$
3150.2.a.y	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-2q^{11}+q^{13}+\cdots$
3150.2.a.z	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-4q^{13}-q^{14}+\cdots$
3150.2.a.ba	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-2q^{13}-q^{14}+\cdots$
3150.2.a.bb	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-2q^{13}-q^{14}+\cdots$
3150.2.a.bc	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}+q^{13}-q^{14}+\cdots$
3150.2.a.bd	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{11}-7q^{13}+\cdots$
3150.2.a.be	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{11}-2q^{13}+\cdots$
3150.2.a.bf	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}+4q^{11}-3q^{13}+\cdots$
3150.2.a.bg	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-6q^{11}-q^{13}+\cdots$
3150.2.a.bh	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-4q^{11}-6q^{13}+\cdots$
3150.2.a.bi	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-4q^{11}+3q^{13}+\cdots$
3150.2.a.bj	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-4q^{11}+6q^{13}+\cdots$
3150.2.a.bk	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-2q^{11}-6q^{13}+\cdots$
3150.2.a.bl	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-2q^{11}-q^{13}+\cdots$
3150.2.a.bm	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-q^{13}+q^{14}+\cdots$
3150.2.a.bn	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}+4q^{13}+q^{14}+\cdots$
3150.2.a.bo	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}+4q^{11}-6q^{13}+\cdots$
3150.2.a.bp	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}+4q^{11}+2q^{13}+\cdots$
3150.2.a.bq	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}+5q^{11}+6q^{13}+\cdots$
3150.2.a.br	$3150$	$2$	3150.a	1.a	$1$	$1$	$1$	$25.153$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}+6q^{11}-2q^{13}+\cdots$
3150.2.a.bs	$3150$	$2$	3150.a	1.a	$1$	$2$	$2$	$25.153$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$-2$	$0$	$0$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+2\beta q^{11}+(-2+\cdots)q^{13}+\cdots$
3150.2.a.bt	$3150$	$2$	3150.a	1.a	$1$	$2$	$2$	$25.153$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$2$	$0$	$0$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}+2\beta q^{11}+(2+\cdots)q^{13}+\cdots$
3150.2.b.a	$3150$	$2$	3150.b	21.c	$2$	$8$	$8$	$25.153$	8.0.40960000.1	None		$4$	$0$	$0$	$0$	$0$	$0$		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}-q^{4}+(-\beta _{3}+\beta _{5})q^{7}-\beta _{1}q^{8}+\cdots$
3150.2.b.b	$3150$	$2$	3150.b	21.c	$2$	$8$	$8$	$25.153$	8.0.40960000.1	None		$8$	$0$	$0$	$0$	$0$	$0$		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}-q^{4}+(-\beta _{3}-\beta _{5})q^{7}-\beta _{1}q^{8}+\cdots$
3150.2.b.c	$3150$	$2$	3150.b	21.c	$2$	$8$	$8$	$25.153$	8.0.40960000.1	None		$8$	$0$	$0$	$0$	$0$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}-q^{4}+(-\beta _{2}+\beta _{7})q^{7}-\beta _{1}q^{8}+\cdots$
3150.2.b.d	$3150$	$2$	3150.b	21.c	$2$	$8$	$8$	$25.153$	8.0.40960000.1	None		$4$	$0$	$0$	$0$	$0$	$0$		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{1}q^{2}-q^{4}+(\beta _{3}+\beta _{5})q^{7}+\beta _{1}q^{8}+\cdots$

Next Download to Pari/GP SageMath Magma Oscar

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 123 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.