LMFDB - L-function search results

Refine search

Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

Degree	Bad $p$	Root analytic conductor	Motivic weight	Spectral label

Root angle	Primitive	Origin	Exclude origin	Self-dual

Arithmetic

		Sort order	Select

Results (1-50 of 236 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-12e2-1.1-c1-0-0	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.92209$	Elliptic curve 144.a Modular form 144.2.a.a Modular form 144.2.a.a.1.1
2-12e2-1.1-c1-0-1	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	1.1	$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$1.97363$	Elliptic curve 144.b Modular form 144.2.a.b Modular form 144.2.a.b.1.1
2-12e2-12.11-c1-0-0	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	12.11	$1.0$	$1$	✓	✓			$-0.152$	$0$	$1.37578$	Modular form 144.2.c.a.143.2
2-12e2-12.11-c1-0-1	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	12.11	$1.0$	$1$	✓	✓			$0.152$	$0$	$2.59850$	Modular form 144.2.c.a.143.1
2-12e2-144.11-c1-0-0	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$-0.471$	$0$	$0.0361515$	Modular form 144.2.u.a.11.3
2-12e2-144.11-c1-0-1	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$0.388$	$0$	$0.233537$	Modular form 144.2.u.a.11.13
2-12e2-144.11-c1-0-10	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$-0.000241$	$0$	$1.96082$	Modular form 144.2.u.a.11.10
2-12e2-144.11-c1-0-11	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$0.119$	$0$	$2.05239$	Modular form 144.2.u.a.11.8
2-12e2-144.11-c1-0-12	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$-0.0211$	$0$	$2.12382$	Modular form 144.2.u.a.11.6
2-12e2-144.11-c1-0-13	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$-0.0588$	$0$	$2.12535$	Modular form 144.2.u.a.11.21
2-12e2-144.11-c1-0-14	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$-0.109$	$0$	$2.25950$	Modular form 144.2.u.a.11.16
2-12e2-144.11-c1-0-15	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$-0.109$	$0$	$2.41033$	Modular form 144.2.u.a.11.20
2-12e2-144.11-c1-0-16	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$0.110$	$0$	$2.45300$	Modular form 144.2.u.a.11.15
2-12e2-144.11-c1-0-17	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$0.385$	$0$	$2.69993$	Modular form 144.2.u.a.11.4
2-12e2-144.11-c1-0-18	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$0.0912$	$0$	$2.98881$	Modular form 144.2.u.a.11.22
2-12e2-144.11-c1-0-19	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$0.281$	$0$	$3.08905$	Modular form 144.2.u.a.11.17
2-12e2-144.11-c1-0-2	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$-0.326$	$0$	$0.367578$	Modular form 144.2.u.a.11.9
2-12e2-144.11-c1-0-20	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$0.299$	$0$	$3.30007$	Modular form 144.2.u.a.11.18
2-12e2-144.11-c1-0-21	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$0.364$	$0$	$3.66484$	Modular form 144.2.u.a.11.14
2-12e2-144.11-c1-0-3	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$-0.0506$	$0$	$1.00039$	Modular form 144.2.u.a.11.5
2-12e2-144.11-c1-0-4	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$-0.345$	$0$	$1.14321$	Modular form 144.2.u.a.11.7
2-12e2-144.11-c1-0-5	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$-0.317$	$0$	$1.42121$	Modular form 144.2.u.a.11.12
2-12e2-144.11-c1-0-6	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$-0.123$	$0$	$1.52596$	Modular form 144.2.u.a.11.1
2-12e2-144.11-c1-0-7	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$-0.136$	$0$	$1.79581$	Modular form 144.2.u.a.11.19
2-12e2-144.11-c1-0-8	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$0.155$	$0$	$1.80525$	Modular form 144.2.u.a.11.11
2-12e2-144.11-c1-0-9	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.11	$1.0$	$1$	✓	✓			$0.195$	$0$	$1.86300$	Modular form 144.2.u.a.11.2
2-12e2-144.13-c1-0-0	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$-0.442$	$0$	$0.671730$	Modular form 144.2.x.e.13.8
2-12e2-144.13-c1-0-1	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$-0.173$	$0$	$0.913121$	Modular form 144.2.x.d.13.1
2-12e2-144.13-c1-0-10	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$0.130$	$0$	$2.03487$	Modular form 144.2.x.e.13.6
2-12e2-144.13-c1-0-11	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$-0.00117$	$0$	$2.30662$	Modular form 144.2.x.e.13.17
2-12e2-144.13-c1-0-12	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$0.152$	$0$	$2.37935$	Modular form 144.2.x.e.13.1
2-12e2-144.13-c1-0-13	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$0.493$	$1$	$2.50903$	Modular form 144.2.x.b.13.1
2-12e2-144.13-c1-0-14	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$-0.0928$	$0$	$2.65176$	Modular form 144.2.x.e.13.14
2-12e2-144.13-c1-0-15	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$0.111$	$0$	$2.65220$	Modular form 144.2.x.e.13.7
2-12e2-144.13-c1-0-16	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$0.303$	$0$	$2.68695$	Modular form 144.2.x.e.13.10
2-12e2-144.13-c1-0-17	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$0.112$	$0$	$2.73509$	Modular form 144.2.x.e.13.12
2-12e2-144.13-c1-0-18	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$0.0715$	$0$	$2.87699$	Modular form 144.2.x.e.13.18
2-12e2-144.13-c1-0-19	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$0.272$	$0$	$3.35074$	Modular form 144.2.x.e.13.16
2-12e2-144.13-c1-0-2	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$-0.292$	$0$	$1.19783$	Modular form 144.2.x.e.13.2
2-12e2-144.13-c1-0-20	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$0.325$	$0$	$3.36013$	Modular form 144.2.x.e.13.11
2-12e2-144.13-c1-0-21	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$-0.474$	$0$	$3.36631$	Modular form 144.2.x.e.13.4
2-12e2-144.13-c1-0-3	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$-0.00694$	$0$	$1.27186$	Modular form 144.2.x.c.13.1
2-12e2-144.13-c1-0-4	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$-0.312$	$0$	$1.37937$	Modular form 144.2.x.e.13.13
2-12e2-144.13-c1-0-5	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$-0.221$	$0$	$1.56013$	Modular form 144.2.x.e.13.5
2-12e2-144.13-c1-0-6	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$-0.00694$	$0$	$1.58469$	Modular form 144.2.x.a.13.1
2-12e2-144.13-c1-0-7	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$-0.318$	$0$	$1.63219$	Modular form 144.2.x.e.13.9
2-12e2-144.13-c1-0-8	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$-0.0331$	$0$	$1.83887$	Modular form 144.2.x.e.13.15
2-12e2-144.13-c1-0-9	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.13	$1.0$	$1$	✓	✓			$0.0821$	$0$	$1.93730$	Modular form 144.2.x.e.13.3
2-12e2-144.131-c1-0-0	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.131	$1.0$	$1$	✓	✓			$-0.195$	$0$	$0.608725$	Modular form 144.2.u.a.131.2
2-12e2-144.131-c1-0-1	$1.07$	$1.14$	$2$	$2^{4} \cdot 3^{2}$	144.131	$1.0$	$1$	✓	✓			$-0.385$	$0$	$0.897307$	Modular form 144.2.u.a.131.4

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 236 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.