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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)

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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-787-787.786-c0-0-0 $0.626$ $0.392$ $2$ $787$ 787.786 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.60827$ Artin representation 2.787.5t2.a.b Modular form 787.1.b.a.786.1
2-787-787.786-c0-0-1 $0.626$ $0.392$ $2$ $787$ 787.786 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.78445$ Artin representation 2.787.5t2.a.a Modular form 787.1.b.a.786.2
2-787-1.1-c1-0-0 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.222358$ Modular form 787.2.a.b.1.6
2-787-1.1-c1-0-1 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.446303$ Modular form 787.2.a.b.1.10
2-787-1.1-c1-0-10 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.921002$ Modular form 787.2.a.b.1.7
2-787-1.1-c1-0-11 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.932273$ Modular form 787.2.a.b.1.12
2-787-1.1-c1-0-12 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.951559$ Modular form 787.2.a.b.1.13
2-787-1.1-c1-0-13 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $0.982427$ Modular form 787.2.a.a.1.4
2-787-1.1-c1-0-14 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.02451$ Modular form 787.2.a.a.1.13
2-787-1.1-c1-0-15 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.13217$ Modular form 787.2.a.b.1.11
2-787-1.1-c1-0-16 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.13547$ Modular form 787.2.a.b.1.2
2-787-1.1-c1-0-17 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.16833$ Modular form 787.2.a.b.1.26
2-787-1.1-c1-0-18 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.21533$ Modular form 787.2.a.a.1.14
2-787-1.1-c1-0-19 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.23199$ Modular form 787.2.a.b.1.33
2-787-1.1-c1-0-2 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.466877$ Modular form 787.2.a.b.1.16
2-787-1.1-c1-0-20 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.23987$ Modular form 787.2.a.b.1.20
2-787-1.1-c1-0-21 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.24951$ Modular form 787.2.a.a.1.5
2-787-1.1-c1-0-22 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.24985$ Modular form 787.2.a.b.1.18
2-787-1.1-c1-0-23 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.29092$ Modular form 787.2.a.a.1.3
2-787-1.1-c1-0-24 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.29707$ Modular form 787.2.a.b.1.8
2-787-1.1-c1-0-25 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.33783$ Modular form 787.2.a.b.1.9
2-787-1.1-c1-0-26 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.35452$ Modular form 787.2.a.a.1.9
2-787-1.1-c1-0-27 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.40077$ Modular form 787.2.a.b.1.14
2-787-1.1-c1-0-28 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.49431$ Modular form 787.2.a.b.1.21
2-787-1.1-c1-0-29 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.50984$ Modular form 787.2.a.a.1.17
2-787-1.1-c1-0-3 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.555089$ Modular form 787.2.a.b.1.19
2-787-1.1-c1-0-30 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.52719$ Modular form 787.2.a.b.1.1
2-787-1.1-c1-0-31 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.57374$ Modular form 787.2.a.b.1.28
2-787-1.1-c1-0-32 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.63492$ Modular form 787.2.a.a.1.16
2-787-1.1-c1-0-33 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.63625$ Modular form 787.2.a.a.1.6
2-787-1.1-c1-0-34 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.67519$ Modular form 787.2.a.a.1.11
2-787-1.1-c1-0-35 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.70573$ Modular form 787.2.a.b.1.30
2-787-1.1-c1-0-36 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.72919$ Modular form 787.2.a.b.1.15
2-787-1.1-c1-0-37 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.73397$ Modular form 787.2.a.a.1.22
2-787-1.1-c1-0-38 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.75745$ Modular form 787.2.a.a.1.12
2-787-1.1-c1-0-39 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.78774$ Modular form 787.2.a.a.1.1
2-787-1.1-c1-0-4 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.580810$ Modular form 787.2.a.b.1.17
2-787-1.1-c1-0-40 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.81593$ Modular form 787.2.a.b.1.25
2-787-1.1-c1-0-41 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.83335$ Modular form 787.2.a.a.1.8
2-787-1.1-c1-0-42 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.83449$ Modular form 787.2.a.b.1.36
2-787-1.1-c1-0-43 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.84726$ Modular form 787.2.a.a.1.2
2-787-1.1-c1-0-44 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.91228$ Modular form 787.2.a.b.1.37
2-787-1.1-c1-0-45 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.92104$ Modular form 787.2.a.b.1.32
2-787-1.1-c1-0-46 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.92283$ Modular form 787.2.a.b.1.24
2-787-1.1-c1-0-47 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.94713$ Modular form 787.2.a.b.1.29
2-787-1.1-c1-0-48 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.94847$ Modular form 787.2.a.a.1.7
2-787-1.1-c1-0-49 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.97196$ Modular form 787.2.a.a.1.18
2-787-1.1-c1-0-5 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.643953$ Modular form 787.2.a.b.1.5
2-787-1.1-c1-0-50 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.98890$ Modular form 787.2.a.b.1.34
2-787-1.1-c1-0-51 $2.50$ $6.28$ $2$ $787$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.04391$ Modular form 787.2.a.a.1.10
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