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
2-280-280.179-c2-0-0	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.419$	$0$	$0.0273502$	Modular form 280.3.bi.a.179.2
2-280-280.179-c2-0-1	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.406$	$0$	$0.0526194$	Modular form 280.3.bi.c.179.65
2-280-280.179-c2-0-10	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.120$	$0$	$0.469048$	Modular form 280.3.bi.c.179.17
2-280-280.179-c2-0-11	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.382$	$0$	$0.496846$	Modular form 280.3.bi.c.179.11
2-280-280.179-c2-0-12	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.429$	$0$	$0.523589$	Modular form 280.3.bi.c.179.42
2-280-280.179-c2-0-13	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.227$	$0$	$0.573853$	Modular form 280.3.bi.c.179.34
2-280-280.179-c2-0-14	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.0156$	$0$	$0.589853$	Modular form 280.3.bi.c.179.61
2-280-280.179-c2-0-15	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.257$	$0$	$0.612763$	Modular form 280.3.bi.c.179.9
2-280-280.179-c2-0-16	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.122$	$0$	$0.644071$	Modular form 280.3.bi.c.179.18
2-280-280.179-c2-0-17	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.172$	$0$	$0.661513$	Modular form 280.3.bi.c.179.45
2-280-280.179-c2-0-18	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.110$	$0$	$0.667615$	Modular form 280.3.bi.c.179.44
2-280-280.179-c2-0-19	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.199$	$0$	$0.686593$	Modular form 280.3.bi.c.179.60
2-280-280.179-c2-0-2	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.340$	$0$	$0.150121$	Modular form 280.3.bi.c.179.81
2-280-280.179-c2-0-20	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.0633$	$0$	$0.688311$	Modular form 280.3.bi.c.179.46
2-280-280.179-c2-0-21	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.0604$	$0$	$0.705735$	Modular form 280.3.bi.a.179.1
2-280-280.179-c2-0-22	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.192$	$0$	$0.744589$	Modular form 280.3.bi.c.179.78
2-280-280.179-c2-0-23	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.200$	$0$	$0.780533$	Modular form 280.3.bi.c.179.31
2-280-280.179-c2-0-24	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.338$	$0$	$0.853208$	Modular form 280.3.bi.c.179.22
2-280-280.179-c2-0-25	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.461$	$0$	$0.905737$	Modular form 280.3.bi.c.179.57
2-280-280.179-c2-0-26	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.270$	$0$	$0.955279$	Modular form 280.3.bi.c.179.76
2-280-280.179-c2-0-27	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.0982$	$0$	$0.974806$	Modular form 280.3.bi.c.179.24
2-280-280.179-c2-0-28	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.327$	$0$	$0.993396$	Modular form 280.3.bi.c.179.32
2-280-280.179-c2-0-29	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.154$	$0$	$1.03342$	Modular form 280.3.bi.c.179.8
2-280-280.179-c2-0-3	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.0667$	$0$	$0.248108$	Modular form 280.3.bi.c.179.49
2-280-280.179-c2-0-30	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.184$	$0$	$1.14705$	Modular form 280.3.bi.c.179.51
2-280-280.179-c2-0-31	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.151$	$0$	$1.15757$	Modular form 280.3.bi.c.179.15
2-280-280.179-c2-0-32	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.383$	$0$	$1.18636$	Modular form 280.3.bi.c.179.25
2-280-280.179-c2-0-33	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.404$	$0$	$1.20319$	Modular form 280.3.bi.c.179.10
2-280-280.179-c2-0-34	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.0310$	$0$	$1.22308$	Modular form 280.3.bi.c.179.50
2-280-280.179-c2-0-35	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.217$	$0$	$1.22549$	Modular form 280.3.bi.c.179.3
2-280-280.179-c2-0-36	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.395$	$0$	$1.25685$	Modular form 280.3.bi.c.179.53
2-280-280.179-c2-0-37	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.0238$	$0$	$1.26010$	Modular form 280.3.bi.c.179.12
2-280-280.179-c2-0-38	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.312$	$0$	$1.28745$	Modular form 280.3.bi.c.179.69
2-280-280.179-c2-0-39	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.185$	$0$	$1.33733$	Modular form 280.3.bi.c.179.85
2-280-280.179-c2-0-4	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.439$	$0$	$0.263552$	Modular form 280.3.bi.b.179.2
2-280-280.179-c2-0-40	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.0942$	$0$	$1.37895$	Modular form 280.3.bi.c.179.16
2-280-280.179-c2-0-41	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.256$	$0$	$1.42441$	Modular form 280.3.bi.c.179.40
2-280-280.179-c2-0-42	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.219$	$0$	$1.44949$	Modular form 280.3.bi.c.179.37
2-280-280.179-c2-0-43	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.196$	$0$	$1.47633$	Modular form 280.3.bi.c.179.14
2-280-280.179-c2-0-44	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.212$	$0$	$1.48502$	Modular form 280.3.bi.c.179.54
2-280-280.179-c2-0-45	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.382$	$0$	$1.48524$	Modular form 280.3.bi.c.179.6
2-280-280.179-c2-0-46	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.292$	$0$	$1.55301$	Modular form 280.3.bi.c.179.63
2-280-280.179-c2-0-47	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.0115$	$0$	$1.57865$	Modular form 280.3.bi.c.179.29
2-280-280.179-c2-0-48	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.471$	$0$	$1.61964$	Modular form 280.3.bi.c.179.23
2-280-280.179-c2-0-49	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.180$	$0$	$1.62660$	Modular form 280.3.bi.c.179.82
2-280-280.179-c2-0-5	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.176$	$0$	$0.281287$	Modular form 280.3.bi.c.179.4
2-280-280.179-c2-0-50	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.273$	$0$	$1.65075$	Modular form 280.3.bi.c.179.33
2-280-280.179-c2-0-51	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.0899$	$0$	$1.67195$	Modular form 280.3.bi.c.179.30
2-280-280.179-c2-0-52	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$0.112$	$0$	$1.67588$	Modular form 280.3.bi.c.179.88
2-280-280.179-c2-0-53	$2.76$	$7.62$	$2$	$2^{3} \cdot 5 \cdot 7$	280.179	$$	$2.0$	$2$	✓	✓	$-0.0216$	$0$	$1.68876$	Modular form 280.3.bi.c.179.7

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Classical	Maass
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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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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.