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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
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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
2-799-1.1-c1-0-0 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.0835569$ Modular form 799.2.a.g.1.9
2-799-1.1-c1-0-1 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.371380$ Modular form 799.2.a.f.1.1
2-799-1.1-c1-0-10 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.769334$ Modular form 799.2.a.g.1.5
2-799-1.1-c1-0-11 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.854140$ Modular form 799.2.a.g.1.2
2-799-1.1-c1-0-12 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.932484$ Modular form 799.2.a.g.1.10
2-799-1.1-c1-0-13 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.01038$ Modular form 799.2.a.d.1.3
2-799-1.1-c1-0-14 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.04537$ Modular form 799.2.a.g.1.1
2-799-1.1-c1-0-15 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.08693$ Modular form 799.2.a.g.1.15
2-799-1.1-c1-0-16 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.10534$ Modular form 799.2.a.f.1.3
2-799-1.1-c1-0-17 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.11037$ Modular form 799.2.a.g.1.13
2-799-1.1-c1-0-18 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.11588$ Modular form 799.2.a.f.1.6
2-799-1.1-c1-0-19 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.13545$ Modular form 799.2.a.d.1.1
2-799-1.1-c1-0-2 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.413316$ Modular form 799.2.a.g.1.6
2-799-1.1-c1-0-20 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.22670$ Modular form 799.2.a.g.1.8
2-799-1.1-c1-0-21 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.27840$ Modular form 799.2.a.e.1.7
2-799-1.1-c1-0-22 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.27872$ Modular form 799.2.a.f.1.14
2-799-1.1-c1-0-23 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.28833$ Modular form 799.2.a.e.1.2
2-799-1.1-c1-0-24 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.32013$ Elliptic curve 799.b Modular form 799.2.a.b Modular form 799.2.a.b.1.1
2-799-1.1-c1-0-25 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.39841$ Modular form 799.2.a.g.1.7
2-799-1.1-c1-0-26 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.41036$ Modular form 799.2.a.f.1.11
2-799-1.1-c1-0-27 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.43702$ Modular form 799.2.a.f.1.8
2-799-1.1-c1-0-28 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.43823$ Modular form 799.2.a.g.1.4
2-799-1.1-c1-0-29 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.46847$ Modular form 799.2.a.c.1.2
2-799-1.1-c1-0-3 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.448279$ Modular form 799.2.a.g.1.12
2-799-1.1-c1-0-30 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.47794$ Modular form 799.2.a.f.1.2
2-799-1.1-c1-0-31 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.56647$ Modular form 799.2.a.e.1.5
2-799-1.1-c1-0-32 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.61637$ Modular form 799.2.a.e.1.3
2-799-1.1-c1-0-33 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.61931$ Modular form 799.2.a.f.1.16
2-799-1.1-c1-0-34 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.62208$ Modular form 799.2.a.g.1.14
2-799-1.1-c1-0-35 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.64303$ Modular form 799.2.a.d.1.2
2-799-1.1-c1-0-36 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.70478$ Modular form 799.2.a.d.1.5
2-799-1.1-c1-0-37 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.72245$ Modular form 799.2.a.e.1.1
2-799-1.1-c1-0-38 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.77354$ Modular form 799.2.a.c.1.1
2-799-1.1-c1-0-39 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.81148$ Modular form 799.2.a.e.1.6
2-799-1.1-c1-0-4 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.465689$ Modular form 799.2.a.f.1.5
2-799-1.1-c1-0-40 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.87587$ Modular form 799.2.a.f.1.12
2-799-1.1-c1-0-41 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.87663$ Modular form 799.2.a.f.1.17
2-799-1.1-c1-0-42 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.88066$ Modular form 799.2.a.g.1.20
2-799-1.1-c1-0-43 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.89967$ Modular form 799.2.a.g.1.11
2-799-1.1-c1-0-44 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.94883$ Modular form 799.2.a.g.1.18
2-799-1.1-c1-0-45 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.94927$ Modular form 799.2.a.f.1.13
2-799-1.1-c1-0-46 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.02402$ Modular form 799.2.a.e.1.4
2-799-1.1-c1-0-47 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.02912$ Elliptic curve 799.a Modular form 799.2.a.a Modular form 799.2.a.a.1.1
2-799-1.1-c1-0-48 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.07378$ Modular form 799.2.a.g.1.17
2-799-1.1-c1-0-49 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.10229$ Modular form 799.2.a.e.1.9
2-799-1.1-c1-0-5 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.530874$ Modular form 799.2.a.g.1.3
2-799-1.1-c1-0-50 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.15355$ Modular form 799.2.a.g.1.19
2-799-1.1-c1-0-51 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.15892$ Modular form 799.2.a.d.1.4
2-799-1.1-c1-0-52 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.27020$ Modular form 799.2.a.f.1.15
2-799-1.1-c1-0-53 $2.52$ $6.38$ $2$ $17 \cdot 47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.28301$ Modular form 799.2.a.g.1.16
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