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 889 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
4001.2.a.a	$4001$	$2$	4001.a	1.a	$1$	$149$	$149$	$31.948$		None	✓	$1$	$1$	$-6$	$-28$	$-19$	$-47$	$+$		$\mathrm{SU}(2)$
4001.2.a.b	$4001$	$2$	4001.a	1.a	$1$	$184$	$184$	$31.948$		None	✓	$1$	$0$	$3$	$28$	$15$	$49$	$-$		$\mathrm{SU}(2)$
4003.2.a.b	$4003$	$2$	4003.a	1.a	$1$	$152$	$152$	$31.964$		None	✓	$1$	$1$	$-22$	$-18$	$-59$	$-19$	$+$		$\mathrm{SU}(2)$
4003.2.a.c	$4003$	$2$	4003.a	1.a	$1$	$179$	$179$	$31.964$		None	✓	$1$	$0$	$22$	$16$	$61$	$21$	$-$		$\mathrm{SU}(2)$
4007.2.a.a	$4007$	$2$	4007.a	1.a	$1$	$139$	$139$	$31.996$		None	✓	$1$	$1$	$-13$	$-22$	$-16$	$-44$	$+$		$\mathrm{SU}(2)$
4007.2.a.b	$4007$	$2$	4007.a	1.a	$1$	$195$	$195$	$31.996$		None	✓	$1$	$0$	$14$	$22$	$14$	$48$	$-$		$\mathrm{SU}(2)$
4013.2.a.b	$4013$	$2$	4013.a	1.a	$1$	$157$	$157$	$32.044$		None	✓	$1$	$1$	$-15$	$-51$	$-13$	$-49$	$+$		$\mathrm{SU}(2)$
4013.2.a.c	$4013$	$2$	4013.a	1.a	$1$	$176$	$176$	$32.044$		None	✓	$1$	$0$	$11$	$53$	$5$	$46$	$-$		$\mathrm{SU}(2)$
4019.2.a.a	$4019$	$2$	4019.a	1.a	$1$	$149$	$149$	$32.092$		None	✓	$1$	$1$	$-8$	$-12$	$-36$	$-32$	$+$		$\mathrm{SU}(2)$
4019.2.a.b	$4019$	$2$	4019.a	1.a	$1$	$186$	$186$	$32.092$		None	✓	$1$	$0$	$6$	$10$	$38$	$32$	$-$		$\mathrm{SU}(2)$
4021.2.a.b	$4021$	$2$	4021.a	1.a	$1$	$151$	$151$	$32.108$		None	✓	$1$	$1$	$-16$	$-29$	$-27$	$-18$	$+$		$\mathrm{SU}(2)$
4021.2.a.c	$4021$	$2$	4021.a	1.a	$1$	$182$	$182$	$32.108$		None	✓	$1$	$0$	$18$	$28$	$22$	$14$	$-$		$\mathrm{SU}(2)$
4027.2.a.b	$4027$	$2$	4027.a	1.a	$1$	$159$	$159$	$32.156$		None	✓	$1$	$1$	$-22$	$-19$	$-70$	$-19$	$+$		$\mathrm{SU}(2)$
4027.2.a.c	$4027$	$2$	4027.a	1.a	$1$	$174$	$174$	$32.156$		None	✓	$1$	$0$	$21$	$17$	$72$	$24$	$-$		$\mathrm{SU}(2)$
4031.2.a.e	$4031$	$2$	4031.a	1.a	$1$	$103$	$103$	$32.188$		None	✓	$1$	$0$	$1$	$2$	$9$	$18$	$-$		$\mathrm{SU}(2)$
4049.2.a.a	$4049$	$2$	4049.a	1.a	$1$	$151$	$151$	$32.331$		None	✓	$1$	$1$	$-9$	$-13$	$-17$	$-80$	$+$		$\mathrm{SU}(2)$
4049.2.a.b	$4049$	$2$	4049.a	1.a	$1$	$186$	$186$	$32.331$		None	✓	$1$	$0$	$8$	$11$	$13$	$86$	$-$		$\mathrm{SU}(2)$
4051.2.a.b	$4051$	$2$	4051.a	1.a	$1$	$157$	$157$	$32.347$		None	✓	$1$	$1$	$-23$	$-11$	$-68$	$-19$	$+$		$\mathrm{SU}(2)$
4051.2.a.c	$4051$	$2$	4051.a	1.a	$1$	$179$	$179$	$32.347$		None	✓	$1$	$0$	$23$	$7$	$67$	$16$	$-$		$\mathrm{SU}(2)$
4057.2.a.a	$4057$	$2$	4057.a	1.a	$1$	$164$	$164$	$32.395$		None	✓	$1$	$1$	$-24$	$-32$	$-39$	$-61$	$+$		$\mathrm{SU}(2)$
4057.2.a.b	$4057$	$2$	4057.a	1.a	$1$	$173$	$173$	$32.395$		None	✓	$1$	$0$	$21$	$28$	$37$	$55$	$-$		$\mathrm{SU}(2)$
4073.2.a.a	$4073$	$2$	4073.a	1.a	$1$	$156$	$156$	$32.523$		None	✓	$1$	$1$	$-14$	$-29$	$-14$	$-109$	$+$		$\mathrm{SU}(2)$
4073.2.a.b	$4073$	$2$	4073.a	1.a	$1$	$183$	$183$	$32.523$		None	✓	$1$	$0$	$13$	$27$	$10$	$113$	$-$		$\mathrm{SU}(2)$
4079.2.a.a	$4079$	$2$	4079.a	1.a	$1$	$128$	$128$	$32.571$		None	✓	$1$	$1$	$-8$	$-10$	$-12$	$-29$	$+$		$\mathrm{SU}(2)$
4079.2.a.b	$4079$	$2$	4079.a	1.a	$1$	$212$	$212$	$32.571$		None	✓	$1$	$0$	$9$	$10$	$14$	$35$	$-$		$\mathrm{SU}(2)$
4091.2.a.a	$4091$	$2$	4091.a	1.a	$1$	$138$	$138$	$32.667$		None	✓	$1$	$1$	$-9$	$-17$	$-26$	$-25$	$+$		$\mathrm{SU}(2)$
4091.2.a.b	$4091$	$2$	4091.a	1.a	$1$	$203$	$203$	$32.667$		None	✓	$1$	$0$	$9$	$17$	$28$	$25$	$-$		$\mathrm{SU}(2)$
4093.2.a.b	$4093$	$2$	4093.a	1.a	$1$	$164$	$164$	$32.683$		None	✓	$1$	$1$	$-36$	$-29$	$-28$	$-34$	$+$		$\mathrm{SU}(2)$
4093.2.a.c	$4093$	$2$	4093.a	1.a	$1$	$174$	$174$	$32.683$		None	✓	$1$	$0$	$39$	$30$	$29$	$36$	$-$		$\mathrm{SU}(2)$
4099.2.a.a	$4099$	$2$	4099.a	1.a	$1$	$156$	$156$	$32.731$		None	✓	$1$	$1$	$-16$	$-20$	$-75$	$-9$	$+$		$\mathrm{SU}(2)$
4099.2.a.b	$4099$	$2$	4099.a	1.a	$1$	$185$	$185$	$32.731$		None	✓	$1$	$0$	$14$	$18$	$79$	$7$	$-$		$\mathrm{SU}(2)$
4111.2.a.a	$4111$	$2$	4111.a	1.a	$1$	$152$	$152$	$32.827$		None	✓	$1$	$1$	$-11$	$-23$	$-48$	$-16$	$+$		$\mathrm{SU}(2)$
4111.2.a.b	$4111$	$2$	4111.a	1.a	$1$	$190$	$190$	$32.827$		None	✓	$1$	$0$	$10$	$23$	$50$	$8$	$-$		$\mathrm{SU}(2)$
4127.2.a.a	$4127$	$2$	4127.a	1.a	$1$	$148$	$148$	$32.954$		None	✓	$1$	$1$	$-11$	$-25$	$-23$	$-43$	$+$		$\mathrm{SU}(2)$
4127.2.a.b	$4127$	$2$	4127.a	1.a	$1$	$196$	$196$	$32.954$		None	✓	$1$	$0$	$10$	$27$	$23$	$45$	$-$		$\mathrm{SU}(2)$
4129.2.a.a	$4129$	$2$	4129.a	1.a	$1$	$163$	$163$	$32.970$		None	✓	$1$	$1$	$-28$	$-16$	$-28$	$-38$	$+$		$\mathrm{SU}(2)$
4129.2.a.b	$4129$	$2$	4129.a	1.a	$1$	$180$	$180$	$32.970$		None	✓	$1$	$0$	$27$	$12$	$22$	$32$	$-$		$\mathrm{SU}(2)$
4133.2.a.a	$4133$	$2$	4133.a	1.a	$1$	$153$	$153$	$33.002$		None	✓	$1$	$1$	$-10$	$-40$	$-11$	$-53$	$+$		$\mathrm{SU}(2)$
4133.2.a.b	$4133$	$2$	4133.a	1.a	$1$	$191$	$191$	$33.002$		None	✓	$1$	$0$	$10$	$42$	$11$	$55$	$-$		$\mathrm{SU}(2)$
4139.2.a.c	$4139$	$2$	4139.a	1.a	$1$	$154$	$154$	$33.050$		None	✓	$1$	$1$	$-11$	$-16$	$-33$	$-25$	$+$		$\mathrm{SU}(2)$
4139.2.a.d	$4139$	$2$	4139.a	1.a	$1$	$188$	$188$	$33.050$		None	✓	$1$	$0$	$11$	$13$	$36$	$17$	$-$		$\mathrm{SU}(2)$
4153.2.a.b	$4153$	$2$	4153.a	1.a	$1$	$166$	$166$	$33.162$		None	✓	$1$	$1$	$-20$	$-37$	$-49$	$-54$	$+$		$\mathrm{SU}(2)$
4153.2.a.c	$4153$	$2$	4153.a	1.a	$1$	$177$	$177$	$33.162$		None	✓	$1$	$0$	$19$	$37$	$49$	$50$	$-$		$\mathrm{SU}(2)$
4157.2.a.a	$4157$	$2$	4157.a	1.a	$1$	$153$	$153$	$33.194$		None	✓	$1$	$1$	$-14$	$-40$	$-13$	$-41$	$+$		$\mathrm{SU}(2)$
4157.2.a.b	$4157$	$2$	4157.a	1.a	$1$	$193$	$193$	$33.194$		None	✓	$1$	$0$	$14$	$42$	$13$	$43$	$-$		$\mathrm{SU}(2)$
4159.2.a.c	$4159$	$2$	4159.a	1.a	$1$	$156$	$156$	$33.210$		None	✓	$1$	$1$	$-21$	$-16$	$-33$	$-16$	$+$		$\mathrm{SU}(2)$
4159.2.a.d	$4159$	$2$	4159.a	1.a	$1$	$188$	$188$	$33.210$		None	✓	$1$	$0$	$18$	$18$	$37$	$8$	$-$		$\mathrm{SU}(2)$
4177.2.a.a	$4177$	$2$	4177.a	1.a	$1$	$164$	$164$	$33.354$		None	✓	$1$	$1$	$-29$	$-35$	$-31$	$-48$	$+$		$\mathrm{SU}(2)$
4177.2.a.b	$4177$	$2$	4177.a	1.a	$1$	$183$	$183$	$33.354$		None	✓	$1$	$0$	$28$	$33$	$29$	$42$	$-$		$\mathrm{SU}(2)$
4201.2.a.a	$4201$	$2$	4201.a	1.a	$1$	$166$	$166$	$33.545$		None	✓	$1$	$1$	$-16$	$-19$	$-46$	$-29$	$+$		$\mathrm{SU}(2)$

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 $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 889 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.