LMFDB - L-function search results

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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

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Results (1-50 of at least 1000)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-429-429.38-c0-0-1	$0.462$	$0.214$	$2$	$3 \cdot 11 \cdot 13$	429.38	$$	$0.0$	$0$	✓	✓	$-0.142$	$0$	$1.38013$	Modular form 429.1.v.b.38.1
2-429-429.350-c0-0-3	$0.462$	$0.214$	$2$	$3 \cdot 11 \cdot 13$	429.350	$$	$0.0$	$0$	✓	✓	$0.392$	$0$	$3.06899$	Modular form 429.1.v.c.350.2
2-429-429.311-c0-0-3	$0.462$	$0.214$	$2$	$3 \cdot 11 \cdot 13$	429.311	$$	$0.0$	$0$	✓	✓	$0.353$	$0$	$3.30515$	Modular form 429.1.v.c.311.2
2-429-429.38-c0-0-3	$0.462$	$0.214$	$2$	$3 \cdot 11 \cdot 13$	429.38	$$	$0.0$	$0$	✓	✓	$0.357$	$0$	$2.73249$	Modular form 429.1.v.a.38.1
2-429-429.311-c0-0-0	$0.462$	$0.214$	$2$	$3 \cdot 11 \cdot 13$	429.311	$$	$0.0$	$0$	✓	✓	$-0.396$	$0$	$1.11081$	Modular form 429.1.v.a.311.1
2-429-429.389-c0-0-0	$0.462$	$0.214$	$2$	$3 \cdot 11 \cdot 13$	429.389	$$	$0.0$	$0$	✓	✓	$-0.353$	$0$	$1.20107$	Modular form 429.1.v.c.389.2
2-429-429.389-c0-0-1	$0.462$	$0.214$	$2$	$3 \cdot 11 \cdot 13$	429.389	$$	$0.0$	$0$	✓	✓	$0.146$	$0$	$1.77684$	Modular form 429.1.v.c.389.1
2-429-429.38-c0-0-0	$0.462$	$0.214$	$2$	$3 \cdot 11 \cdot 13$	429.38	$$	$0.0$	$0$	✓	✓	$0.107$	$0$	$1.29084$	Modular form 429.1.v.c.38.1
2-429-429.389-c0-0-3	$0.462$	$0.214$	$2$	$3 \cdot 11 \cdot 13$	429.389	$$	$0.0$	$0$	✓	✓	$-0.103$	$0$	$2.38355$	Modular form 429.1.v.b.389.1
2-429-429.350-c0-0-0	$0.462$	$0.214$	$2$	$3 \cdot 11 \cdot 13$	429.350	$$	$0.0$	$0$	✓	✓	$-0.357$	$0$	$1.27280$	Modular form 429.1.v.a.350.1
2-429-429.311-c0-0-1	$0.462$	$0.214$	$2$	$3 \cdot 11 \cdot 13$	429.311	$$	$0.0$	$0$	✓	✓	$-0.146$	$0$	$1.30437$	Modular form 429.1.v.c.311.1
2-429-429.350-c0-0-2	$0.462$	$0.214$	$2$	$3 \cdot 11 \cdot 13$	429.350	$$	$0.0$	$0$	✓	✓	$-0.107$	$0$	$2.01248$	Modular form 429.1.v.c.350.1
2-429-429.311-c0-0-2	$0.462$	$0.214$	$2$	$3 \cdot 11 \cdot 13$	429.311	$$	$0.0$	$0$	✓	✓	$0.103$	$0$	$2.53536$	Modular form 429.1.v.b.311.1
2-429-429.389-c0-0-2	$0.462$	$0.214$	$2$	$3 \cdot 11 \cdot 13$	429.389	$$	$0.0$	$0$	✓	✓	$0.396$	$0$	$2.18858$	Modular form 429.1.v.a.389.1
2-429-429.350-c0-0-1	$0.462$	$0.214$	$2$	$3 \cdot 11 \cdot 13$	429.350	$$	$0.0$	$0$	✓	✓	$0.142$	$0$	$1.99052$	Modular form 429.1.v.b.350.1
2-429-429.38-c0-0-2	$0.462$	$0.214$	$2$	$3 \cdot 11 \cdot 13$	429.38	$$	$0.0$	$0$	✓	✓	$-0.392$	$0$	$1.90755$	Modular form 429.1.v.c.38.2
2-429-143.48-c1-0-13	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.48	$$	$1.0$	$1$	✓	✓	$-0.141$	$0$	$1.10382$	Modular form 429.2.bg.b.334.2
2-429-143.41-c1-0-5	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.41	$$	$1.0$	$1$	✓	✓	$0.249$	$0$	$0.437896$	Modular form 429.2.bs.a.184.14
2-429-143.48-c1-0-14	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.48	$$	$1.0$	$1$	✓	✓	$-0.00427$	$0$	$1.10821$	Modular form 429.2.bg.a.334.7
2-429-143.32-c1-0-7	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.32	$$	$1.0$	$1$	✓	✓	$-0.160$	$0$	$0.837092$	Modular form 429.2.bd.b.175.8
2-429-143.24-c1-0-4	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.24	$$	$1.0$	$1$	✓	✓	$-0.225$	$0$	$0.726387$	Modular form 429.2.bs.a.310.1
2-429-143.28-c1-0-26	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.28	$$	$1.0$	$1$	✓	✓	$0.401$	$0$	$2.78833$	Modular form 429.2.bs.a.28.10
2-429-143.32-c1-0-8	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.32	$$	$1.0$	$1$	✓	✓	$0.0619$	$0$	$0.906893$	Modular form 429.2.bd.a.175.1
2-429-143.28-c1-0-25	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.28	$$	$1.0$	$1$	✓	✓	$0.415$	$0$	$2.71259$	Modular form 429.2.bs.b.28.9
2-429-143.32-c1-0-0	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.32	$$	$1.0$	$1$	✓	✓	$-0.468$	$0$	$0.0986103$	Modular form 429.2.bd.b.175.1
2-429-143.32-c1-0-6	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.32	$$	$1.0$	$1$	✓	✓	$-0.286$	$0$	$0.717752$	Modular form 429.2.bd.a.175.11
2-429-143.38-c1-0-23	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.38	$$	$1.0$	$1$	✓	✓	$0.0452$	$0$	$2.25264$	Modular form 429.2.bb.b.181.12
2-429-143.41-c1-0-4	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.41	$$	$1.0$	$1$	✓	✓	$0.438$	$0$	$0.317279$	Modular form 429.2.bs.a.184.10
2-429-143.46-c1-0-1	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.46	$$	$1.0$	$1$	✓	✓	$-0.415$	$0$	$0.165646$	Modular form 429.2.bs.b.46.9
2-429-143.48-c1-0-12	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.48	$$	$1.0$	$1$	✓	✓	$-0.0592$	$0$	$0.975961$	Modular form 429.2.bg.a.334.1
2-429-143.48-c1-0-15	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.48	$$	$1.0$	$1$	✓	✓	$-0.0962$	$0$	$1.31758$	Modular form 429.2.bg.b.334.6
2-429-143.21-c1-0-1	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.21	$$	$1.0$	$1$	✓	✓	$0.486$	$0$	$0.134325$	Modular form 429.2.m.a.307.1
2-429-143.2-c1-0-15	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.2	$$	$1.0$	$1$	✓	✓	$-0.261$	$0$	$1.57753$	Modular form 429.2.bs.b.145.13
2-429-143.21-c1-0-10	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.21	$$	$1.0$	$1$	✓	✓	$-0.227$	$0$	$1.23188$	Modular form 429.2.m.b.307.7
2-429-143.18-c1-0-15	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.18	$$	$1.0$	$1$	✓	✓	$-0.0437$	$0$	$1.65971$	Modular form 429.2.bj.b.304.9
2-429-143.126-c1-0-8	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.126	$$	$1.0$	$1$	✓	✓	$0.00457$	$0$	$1.09649$	Modular form 429.2.bg.b.412.6
2-429-143.138-c1-0-1	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.138	$$	$1.0$	$1$	✓	✓	$-0.214$	$0$	$0.237221$	Modular form 429.2.bj.a.424.6
2-429-143.18-c1-0-16	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.18	$$	$1.0$	$1$	✓	✓	$0.171$	$0$	$1.70945$	Modular form 429.2.bj.a.304.5
2-429-143.21-c1-0-11	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.21	$$	$1.0$	$1$	✓	✓	$-0.243$	$0$	$1.26761$	Modular form 429.2.m.b.307.2
2-429-143.138-c1-0-0	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.138	$$	$1.0$	$1$	✓	✓	$-0.349$	$0$	$0.218898$	Modular form 429.2.bj.a.424.9
2-429-143.16-c1-0-11	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.16	$$	$1.0$	$1$	✓	✓	$-0.00427$	$0$	$1.14121$	Modular form 429.2.bg.a.16.11
2-429-143.18-c1-0-14	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.18	$$	$1.0$	$1$	✓	✓	$-0.288$	$0$	$1.39956$	Modular form 429.2.bj.b.304.11
2-429-143.19-c1-0-18	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.19	$$	$1.0$	$1$	✓	✓	$-0.133$	$0$	$1.60699$	Modular form 429.2.bs.a.19.7
2-429-143.2-c1-0-14	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.2	$$	$1.0$	$1$	✓	✓	$-0.0130$	$0$	$1.52748$	Modular form 429.2.bs.a.145.10
2-429-143.2-c1-0-22	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.2	$$	$1.0$	$1$	✓	✓	$-0.0366$	$0$	$1.99642$	Modular form 429.2.bs.b.145.11
2-429-143.21-c1-0-0	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.21	$$	$1.0$	$1$	✓	✓	$0.313$	$0$	$0.0510333$	Modular form 429.2.m.a.307.3
2-429-143.21-c1-0-26	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.21	$$	$1.0$	$1$	✓	✓	$0.365$	$0$	$2.75232$	Modular form 429.2.m.b.307.12
2-429-143.24-c1-0-3	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.24	$$	$1.0$	$1$	✓	✓	$-0.442$	$0$	$0.530510$	Modular form 429.2.bs.b.310.6
2-429-143.25-c1-0-4	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.25	$$	$1.0$	$1$	✓	✓	$0.494$	$0$	$0.787649$	Modular form 429.2.bb.b.25.14
2-429-143.28-c1-0-24	$1.85$	$3.42$	$2$	$3 \cdot 11 \cdot 13$	143.28	$$	$1.0$	$1$	✓	✓	$0.195$	$0$	$2.70252$	Modular form 429.2.bs.a.28.12

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
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Genus 2 curves over $\Q$
Higher genus families
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.