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 481 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-1519-1519.1115-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.1115	$0.0$	✓	✓	$-0.208$	$0$	$1.25735$	Modular form 1519.1.ce.a.1115.1
2-1519-1519.1115-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.1115	$0.0$	✓	✓	$0.124$	$0$	$1.58091$	Modular form 1519.1.ce.a.1115.2
2-1519-1519.1115-c0-0-2	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.1115	$0.0$	✓	✓	$0.458$	$0$	$2.72773$	Modular form 1519.1.ce.a.1115.3
2-1519-1519.1208-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.1208	$0.0$	✓	✓	$0.235$	$0$	$0.907225$	Modular form 1519.1.ce.a.1208.1
2-1519-1519.1208-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.1208	$0.0$	✓	✓	$-0.430$	$0$	$0.944494$	Modular form 1519.1.ce.a.1208.3
2-1519-1519.1208-c0-0-2	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.1208	$0.0$	✓	✓	$-0.0975$	$0$	$1.65576$	Modular form 1519.1.ce.a.1208.2
2-1519-1519.123-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.123	$0.0$	✓	✓	$0.467$	$0$	$0.00440011$	Modular form 1519.1.ce.a.123.1
2-1519-1519.123-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.123	$0.0$	✓	✓	$-0.199$	$0$	$0.898533$	Modular form 1519.1.ce.a.123.2
2-1519-1519.123-c0-0-2	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.123	$0.0$	✓	✓	$0.133$	$0$	$2.05340$	Modular form 1519.1.ce.a.123.3
2-1519-1519.1332-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.1332	$0.0$	✓	✓	$0.0226$	$0$	$1.24844$	Modular form 1519.1.ce.a.1332.1
2-1519-1519.1332-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.1332	$0.0$	✓	✓	$-0.310$	$0$	$1.25416$	Modular form 1519.1.ce.a.1332.3
2-1519-1519.1332-c0-0-2	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.1332	$0.0$	✓	✓	$0.356$	$0$	$2.14141$	Modular form 1519.1.ce.a.1332.2
2-1519-1519.1394-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.1394	$0.0$	✓	✓	$-0.346$	$0$	$0.631923$	Modular form 1519.1.ba.a.1394.1
2-1519-1519.1394-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.1394	$0.0$	✓	✓	$-0.0136$	$0$	$1.13836$	Modular form 1519.1.ba.b.1394.1
2-1519-1519.1394-c0-0-2	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.1394	$0.0$	✓	✓	$0.319$	$0$	$2.59721$	Modular form 1519.1.ba.b.1394.2
2-1519-1519.1425-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.1425	$0.0$	✓	✓	$-0.124$	$0$	$0.734685$	Modular form 1519.1.ce.a.1425.2
2-1519-1519.1425-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.1425	$0.0$	✓	✓	$-0.458$	$0$	$0.808297$	Modular form 1519.1.ce.a.1425.3
2-1519-1519.1425-c0-0-2	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.1425	$0.0$	✓	✓	$0.208$	$0$	$1.46855$	Modular form 1519.1.ce.a.1425.1
2-1519-1519.247-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.247	$0.0$	✓	✓	$0.199$	$0$	$1.51369$	Modular form 1519.1.ce.a.247.2
2-1519-1519.247-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.247	$0.0$	✓	✓	$-0.467$	$0$	$1.52154$	Modular form 1519.1.ce.a.247.1
2-1519-1519.247-c0-0-2	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.247	$0.0$	✓	✓	$-0.133$	$0$	$1.87617$	Modular form 1519.1.ce.a.247.3
2-1519-1519.309-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.309	$0.0$	✓	✓	$0.244$	$0$	$0.215307$	Modular form 1519.1.ba.a.309.1
2-1519-1519.309-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.309	$0.0$	✓	✓	$-0.0884$	$0$	$1.43730$	Modular form 1519.1.ba.b.309.1
2-1519-1519.309-c0-0-2	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.309	$0.0$	✓	✓	$-0.421$	$0$	$2.29880$	Modular form 1519.1.ba.b.309.2
2-1519-1519.340-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.340	$0.0$	✓	✓	$-0.369$	$0$	$0.409164$	Modular form 1519.1.ce.a.340.1
2-1519-1519.340-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.340	$0.0$	✓	✓	$-0.0362$	$0$	$1.43201$	Modular form 1519.1.ce.a.340.2
2-1519-1519.340-c0-0-2	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.340	$0.0$	✓	✓	$0.297$	$0$	$1.83602$	Modular form 1519.1.ce.a.340.3
2-1519-1519.464-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.464	$0.0$	✓	✓	$0.0975$	$0$	$1.45119$	Modular form 1519.1.ce.a.464.2
2-1519-1519.464-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.464	$0.0$	✓	✓	$-0.235$	$0$	$1.46149$	Modular form 1519.1.ce.a.464.1
2-1519-1519.464-c0-0-2	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.464	$0.0$	✓	✓	$0.430$	$0$	$2.00288$	Modular form 1519.1.ce.a.464.3
2-1519-1519.526-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.526	$0.0$	✓	✓	$0.421$	$0$	$1.03835$	Modular form 1519.1.ba.b.526.2
2-1519-1519.526-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.526	$0.0$	✓	✓	$0.0884$	$0$	$1.22083$	Modular form 1519.1.ba.b.526.1
2-1519-1519.526-c0-0-2	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.526	$0.0$	✓	✓	$-0.244$	$0$	$2.79732$	Modular form 1519.1.ba.a.526.1
2-1519-1519.681-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.681	$0.0$	✓	✓	$-0.480$	$0$	$0.367412$	Modular form 1519.1.ce.a.681.1
2-1519-1519.681-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.681	$0.0$	✓	✓	$-0.147$	$0$	$1.03646$	Modular form 1519.1.ce.a.681.3
2-1519-1519.681-c0-0-2	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.681	$0.0$	✓	✓	$0.185$	$0$	$1.85802$	Modular form 1519.1.ce.a.681.2
2-1519-1519.743-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.743	$0.0$	✓	✓	$0.0748$	$0$	$1.34532$	Modular form 1519.1.ba.b.743.1
2-1519-1519.743-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.743	$0.0$	✓	✓	$0.408$	$0$	$1.48414$	Modular form 1519.1.ba.a.743.1
2-1519-1519.743-c0-0-2	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.743	$0.0$	✓	✓	$-0.258$	$0$	$1.64048$	Modular form 1519.1.ba.b.743.2
2-1519-1519.774-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.774	$0.0$	✓	✓	$-0.185$	$0$	$1.11714$	Modular form 1519.1.ce.a.774.2
2-1519-1519.774-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.774	$0.0$	✓	✓	$0.480$	$0$	$1.78044$	Modular form 1519.1.ce.a.774.1
2-1519-1519.774-c0-0-2	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.774	$0.0$	✓	✓	$0.147$	$0$	$2.11229$	Modular form 1519.1.ce.a.774.3
2-1519-1519.898-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.898	$0.0$	✓	✓	$0.369$	$0$	$0.789524$	Modular form 1519.1.ce.a.898.1
2-1519-1519.898-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.898	$0.0$	✓	✓	$-0.297$	$0$	$1.32339$	Modular form 1519.1.ce.a.898.3
2-1519-1519.898-c0-0-2	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.898	$0.0$	✓	✓	$0.0362$	$0$	$1.94944$	Modular form 1519.1.ce.a.898.2
2-1519-1519.92-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.92	$0.0$	✓	✓	$-0.408$	$0$	$0.858525$	Modular form 1519.1.ba.a.92.1
2-1519-1519.92-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.92	$0.0$	✓	✓	$-0.0748$	$0$	$1.02889$	Modular form 1519.1.ba.b.92.1
2-1519-1519.92-c0-0-2	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.92	$0.0$	✓	✓	$0.258$	$0$	$1.86922$	Modular form 1519.1.ba.b.92.2
2-1519-1519.960-c0-0-0	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.960	$0.0$	✓	✓	$0.0136$	$0$	$0.740599$	Modular form 1519.1.ba.b.960.1
2-1519-1519.960-c0-0-1	$0.870$	$0.758$	$2$	$7^{2} \cdot 31$	1519.960	$0.0$	✓	✓	$-0.319$	$0$	$1.11338$	Modular form 1519.1.ba.b.960.2

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 481 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.