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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 (22 matches)

  displayed columns for results
Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-520-520.109-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.109 $0.0$ 0 ✓ ✓ $-0.171$ $0$ $1.51150$ Modular form 520.1.bo.a.109.1
2-520-520.109-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.109 $0.0$ 0 ✓ ✓ $0.328$ $0$ $2.43122$ Modular form 520.1.bo.a.109.2
2-520-520.139-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.139 $0.0$ 0 ✓ ✓ $-0.123$ $0$ $1.68817$ Artin representation 2.520.6t5.b.b Modular form 520.1.bx.a.139.1
2-520-520.139-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.139 $0.0$ 0 ✓ ✓ $0.376$ $0$ $2.80939$ Artin representation 2.520.12t18.b.a Modular form 520.1.bx.b.139.1
2-520-520.179-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.179 $0.0$ 0 ✓ ✓ $-0.331$ $0$ $0.728683$ Modular form 520.1.cd.a.179.1
2-520-520.179-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.179 $0.0$ 0 ✓ ✓ $0.168$ $0$ $2.61125$ Modular form 520.1.cd.a.179.2
2-520-520.229-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.229 $0.0$ 0 ✓ ✓ $-0.328$ $0$ $1.06454$ Modular form 520.1.bo.a.229.2
2-520-520.229-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.229 $0.0$ 0 ✓ ✓ $0.171$ $0$ $2.02078$ Modular form 520.1.bo.a.229.1
2-520-520.259-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.259 $0.0$ 0 ✓ ✓ $0.416$ $0$ $0.777360$ Modular form 520.1.b.b.259.4
2-520-520.259-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.259 $0.0$ 0 ✓ ✓ $-0.250$ $0$ $1.27353$ Artin representation 2.520.8t11.b.b Modular form 520.1.b.a.259.2
2-520-520.259-c0-0-2 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.259 $0.0$ 0 ✓ ✓ $-0.0833$ $0$ $1.29435$ Modular form 520.1.b.b.259.2
2-520-520.259-c0-0-3 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.259 $0.0$ 0 ✓ ✓ $0.250$ $0$ $1.94812$ Artin representation 2.520.8t11.b.a Modular form 520.1.b.a.259.1
2-520-520.259-c0-0-4 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.259 $0.0$ 0 ✓ ✓ $0.0833$ $0$ $2.17606$ Modular form 520.1.b.b.259.3
2-520-520.259-c0-0-5 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.259 $0.0$ 0 ✓ ✓ $-0.416$ $0$ $3.57527$ Modular form 520.1.b.b.259.1
2-520-520.419-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.419 $0.0$ 0 ✓ ✓ $-0.376$ $0$ $0.943032$ Artin representation 2.520.12t18.b.b Modular form 520.1.bx.b.419.1
2-520-520.419-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.419 $0.0$ 0 ✓ ✓ $0.123$ $0$ $1.59941$ Artin representation 2.520.6t5.b.a Modular form 520.1.bx.a.419.1
2-520-520.459-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.459 $0.0$ 0 ✓ ✓ $-0.168$ $0$ $1.82687$ Modular form 520.1.cd.a.459.2
2-520-520.459-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.459 $0.0$ 0 ✓ ✓ $0.331$ $0$ $2.15120$ Modular form 520.1.cd.a.459.1
2-520-520.493-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.493 $0.0$ 0 ✓ ✓ $-0.286$ $0$ $0.926551$ Modular form 520.1.bg.a.493.1
2-520-520.493-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.493 $0.0$ 0 ✓ ✓ $0.213$ $0$ $2.59725$ Modular form 520.1.bg.a.493.2
2-520-520.77-c0-0-0 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.77 $0.0$ 0 ✓ ✓ $-0.213$ $0$ $1.74003$ Modular form 520.1.bg.a.77.2
2-520-520.77-c0-0-1 $0.509$ $0.259$ $2$ $2^{3} \cdot 5 \cdot 13$ 520.77 $0.0$ 0 ✓ ✓ $0.286$ $0$ $1.89624$ Modular form 520.1.bg.a.77.1
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