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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 (16 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
2-28e2-112.101-c0-0-0 $0.625$ $0.391$ $2$ $2^{4} \cdot 7^{2}$ 112.101 $0.0$ 0 ✓ ✓ $0.155$ $0$ $2.10891$ Modular form 784.1.y.a.325.1
2-28e2-112.107-c0-0-0 $0.625$ $0.391$ $2$ $2^{4} \cdot 7^{2}$ 112.107 $0.0$ 0 ✓ ✓ $-0.167$ $0$ $1.57334$ Modular form 784.1.v.a.667.1
2-28e2-112.11-c0-0-0 $0.625$ $0.391$ $2$ $2^{4} \cdot 7^{2}$ 112.11 $0.0$ 0 ✓ ✓ $-0.207$ $0$ $0.921235$ Modular form 784.1.v.a.459.1
2-28e2-112.45-c0-0-0 $0.625$ $0.391$ $2$ $2^{4} \cdot 7^{2}$ 112.45 $0.0$ 0 ✓ ✓ $0.0309$ $0$ $1.59722$ Modular form 784.1.y.a.717.1
2-28e2-112.5-c0-0-0 $0.625$ $0.391$ $2$ $2^{4} \cdot 7^{2}$ 112.5 $0.0$ 0 ✓ ✓ $-0.0309$ $0$ $1.07685$ Modular form 784.1.y.a.117.1
2-28e2-112.51-c0-0-0 $0.625$ $0.391$ $2$ $2^{4} \cdot 7^{2}$ 112.51 $0.0$ 0 ✓ ✓ $0.207$ $0$ $1.63348$ Modular form 784.1.v.a.275.1
2-28e2-112.61-c0-0-0 $0.625$ $0.391$ $2$ $2^{4} \cdot 7^{2}$ 112.61 $0.0$ 0 ✓ ✓ $-0.155$ $0$ $1.59605$ Modular form 784.1.y.a.509.1
2-28e2-112.67-c0-0-0 $0.625$ $0.391$ $2$ $2^{4} \cdot 7^{2}$ 112.67 $0.0$ 0 ✓ ✓ $0.167$ $0$ $2.21345$ Modular form 784.1.v.a.67.1
2-28e2-16.11-c0-0-0 $0.625$ $0.391$ $2$ $2^{4} \cdot 7^{2}$ 16.11 $0.0$ 0 ✓ ✓ $0.312$ $0$ $1.87569$ Modular form 784.1.k.a.491.1
2-28e2-16.3-c0-0-0 $0.625$ $0.391$ $2$ $2^{4} \cdot 7^{2}$ 16.3 $0.0$ 0 ✓ ✓ $-0.312$ $0$ $1.03545$ Modular form 784.1.k.a.99.1
2-28e2-28.11-c0-0-0 $0.625$ $0.391$ $2$ $2^{4} \cdot 7^{2}$ 28.11 $0.0$ 0 ✓ ✓ $-0.0948$ $0$ $1.37724$ Modular form 784.1.r.a.655.2
2-28e2-28.11-c0-0-1 $0.625$ $0.391$ $2$ $2^{4} \cdot 7^{2}$ 28.11 $0.0$ 0 ✓ ✓ $0.281$ $0$ $2.27145$ Modular form 784.1.r.a.655.1
2-28e2-28.23-c0-0-0 $0.625$ $0.391$ $2$ $2^{4} \cdot 7^{2}$ 28.23 $0.0$ 0 ✓ ✓ $-0.281$ $0$ $0.730587$ Modular form 784.1.r.a.79.1
2-28e2-28.23-c0-0-1 $0.625$ $0.391$ $2$ $2^{4} \cdot 7^{2}$ 28.23 $0.0$ 0 ✓ ✓ $0.0948$ $0$ $1.83297$ Modular form 784.1.r.a.79.2
2-28e2-4.3-c0-0-0 $0.625$ $0.391$ $2$ $2^{4} \cdot 7^{2}$ 4.3 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.32096$ Artin representation 2.784.8t6.a.a Modular form 784.1.d.a.687.1
2-28e2-4.3-c0-0-1 $0.625$ $0.391$ $2$ $2^{4} \cdot 7^{2}$ 4.3 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.76048$ Artin representation 2.784.8t6.a.b Modular form 784.1.d.a.687.2
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