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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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Results (16 matches)

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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
2-704-11.10-c0-0-0 $0.592$ $0.351$ $2$ $2^{6} \cdot 11$ 11.10 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.39587$ Artin representation 2.704.6t3.a Artin representation 2.704.6t3.a.a Modular form 704.1.h.a Modular form 704.1.h.a.65.1
2-704-11.10-c0-0-1 $0.592$ $0.351$ $2$ $2^{6} \cdot 11$ 11.10 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $2.01572$ Artin representation 2.704.6t3.d Artin representation 2.704.6t3.d.a Modular form 704.1.h.b Modular form 704.1.h.b.65.1
2-704-88.13-c0-0-0 $0.592$ $0.351$ $2$ $2^{6} \cdot 11$ 88.13 $0.0$ 0 ✓ ✓ $-0.0715$ $0$ $1.54251$ Modular form 704.1.x.a.673.2
2-704-88.13-c0-0-1 $0.592$ $0.351$ $2$ $2^{6} \cdot 11$ 88.13 $0.0$ 0 ✓ ✓ $0.178$ $0$ $1.87075$ Modular form 704.1.x.a.673.1
2-704-88.21-c0-0-0 $0.592$ $0.351$ $2$ $2^{6} \cdot 11$ 88.21 $0.0$ 0 ✓ ✓ $-0.375$ $0$ $0.981826$ Artin representation 2.704.8t11.a.a Modular form 704.1.b.a.417.2
2-704-88.21-c0-0-1 $0.592$ $0.351$ $2$ $2^{6} \cdot 11$ 88.21 $0.0$ 0 ✓ ✓ $-0.291$ $0$ $1.16728$ Modular form 704.1.b.b.417.4
2-704-88.21-c0-0-2 $0.592$ $0.351$ $2$ $2^{6} \cdot 11$ 88.21 $0.0$ 0 ✓ ✓ $-0.0416$ $0$ $1.26890$ Modular form 704.1.b.b.417.2
2-704-88.21-c0-0-3 $0.592$ $0.351$ $2$ $2^{6} \cdot 11$ 88.21 $0.0$ 0 ✓ ✓ $0.0416$ $0$ $1.86941$ Modular form 704.1.b.b.417.3
2-704-88.21-c0-0-4 $0.592$ $0.351$ $2$ $2^{6} \cdot 11$ 88.21 $0.0$ 0 ✓ ✓ $0.291$ $0$ $2.44568$ Modular form 704.1.b.b.417.1
2-704-88.21-c0-0-5 $0.592$ $0.351$ $2$ $2^{6} \cdot 11$ 88.21 $0.0$ 0 ✓ ✓ $0.375$ $0$ $2.60022$ Artin representation 2.704.8t11.a.b Modular form 704.1.b.a.417.1
2-704-88.29-c0-0-0 $0.592$ $0.351$ $2$ $2^{6} \cdot 11$ 88.29 $0.0$ 0 ✓ ✓ $0.186$ $0$ $1.49592$ Modular form 704.1.x.a.161.1
2-704-88.29-c0-0-1 $0.592$ $0.351$ $2$ $2^{6} \cdot 11$ 88.29 $0.0$ 0 ✓ ✓ $-0.0639$ $0$ $1.93063$ Modular form 704.1.x.a.161.2
2-704-88.61-c0-0-0 $0.592$ $0.351$ $2$ $2^{6} \cdot 11$ 88.61 $0.0$ 0 ✓ ✓ $-0.178$ $0$ $1.06138$ Modular form 704.1.x.a.545.1
2-704-88.61-c0-0-1 $0.592$ $0.351$ $2$ $2^{6} \cdot 11$ 88.61 $0.0$ 0 ✓ ✓ $0.0715$ $0$ $1.75783$ Modular form 704.1.x.a.545.2
2-704-88.85-c0-0-0 $0.592$ $0.351$ $2$ $2^{6} \cdot 11$ 88.85 $0.0$ 0 ✓ ✓ $-0.186$ $0$ $0.850844$ Modular form 704.1.x.a.481.1
2-704-88.85-c0-0-1 $0.592$ $0.351$ $2$ $2^{6} \cdot 11$ 88.85 $0.0$ 0 ✓ ✓ $0.0639$ $0$ $2.19254$ Modular form 704.1.x.a.481.2
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