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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
2-496-31.30-c0-0-0 $0.497$ $0.247$ $2$ $2^{4} \cdot 31$ 31.30 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.61544$ Artin representation 2.496.6t3.b Artin representation 2.496.6t3.b.a Modular form 496.1.e.a Modular form 496.1.e.a.433.1
2-496-496.309-c0-0-0 $0.497$ $0.247$ $2$ $2^{4} \cdot 31$ 496.309 $0.0$ 0 ✓ ✓ $-0.270$ $0$ $1.46181$ Modular form 496.1.j.b.309.2
2-496-496.309-c0-0-1 $0.497$ $0.247$ $2$ $2^{4} \cdot 31$ 496.309 $0.0$ 0 ✓ ✓ $0.0625$ $0$ $1.93319$ Artin representation 2.496.8t17.a.b Modular form 496.1.j.a.309.1
2-496-496.309-c0-0-2 $0.497$ $0.247$ $2$ $2^{4} \cdot 31$ 496.309 $0.0$ 0 ✓ ✓ $0.395$ $0$ $3.01930$ Modular form 496.1.j.b.309.1
2-496-496.61-c0-0-0 $0.497$ $0.247$ $2$ $2^{4} \cdot 31$ 496.61 $0.0$ 0 ✓ ✓ $-0.395$ $0$ $0.952463$ Modular form 496.1.j.b.61.2
2-496-496.61-c0-0-1 $0.497$ $0.247$ $2$ $2^{4} \cdot 31$ 496.61 $0.0$ 0 ✓ ✓ $-0.0625$ $0$ $1.35755$ Artin representation 2.496.8t17.a.a Modular form 496.1.j.a.61.1
2-496-496.61-c0-0-2 $0.497$ $0.247$ $2$ $2^{4} \cdot 31$ 496.61 $0.0$ 0 ✓ ✓ $0.270$ $0$ $2.55125$ Modular form 496.1.j.b.61.1
2-496-1.1-c1-0-0 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.603714$ Modular form 496.2.a.h.1.1
2-496-1.1-c1-0-1 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.836422$ Modular form 496.2.a.g.1.1
2-496-1.1-c1-0-10 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.20573$ Modular form 496.2.a.j.1.2
2-496-1.1-c1-0-11 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.27669$ Elliptic curve 496.a Modular form 496.2.a.a Modular form 496.2.a.a.1.1
2-496-1.1-c1-0-12 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.29075$ Elliptic curve 496.b Modular form 496.2.a.b Modular form 496.2.a.b.1.1
2-496-1.1-c1-0-13 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.52368$ Elliptic curve 496.c Modular form 496.2.a.c Modular form 496.2.a.c.1.1
2-496-1.1-c1-0-14 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.81956$ Modular form 496.2.a.j.1.3
2-496-1.1-c1-0-2 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.24864$ Modular form 496.2.a.i.1.1
2-496-1.1-c1-0-3 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.34025$ Modular form 496.2.a.g.1.2
2-496-1.1-c1-0-4 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.43061$ Elliptic curve 496.d Modular form 496.2.a.d Modular form 496.2.a.d.1.1
2-496-1.1-c1-0-5 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.56126$ Modular form 496.2.a.h.1.2
2-496-1.1-c1-0-6 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.72162$ Elliptic curve 496.f Modular form 496.2.a.f Modular form 496.2.a.f.1.1
2-496-1.1-c1-0-7 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.76290$ Elliptic curve 496.e Modular form 496.2.a.e Modular form 496.2.a.e.1.1
2-496-1.1-c1-0-8 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.79232$ Modular form 496.2.a.j.1.1
2-496-1.1-c1-0-9 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.91628$ Modular form 496.2.a.i.1.2
2-496-124.11-c1-0-0 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.11 $1.0$ $1$ ✓ ✓ $-0.0663$ $0$ $0.658081$ Modular form 496.2.bp.a.383.1
2-496-124.11-c1-0-1 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.11 $1.0$ $1$ ✓ ✓ $-0.342$ $0$ $0.860674$ Modular form 496.2.bp.c.383.6
2-496-124.11-c1-0-10 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.11 $1.0$ $1$ ✓ ✓ $0.363$ $0$ $1.85741$ Modular form 496.2.bp.c.383.2
2-496-124.11-c1-0-11 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.11 $1.0$ $1$ ✓ ✓ $0.279$ $0$ $1.90102$ Modular form 496.2.bp.a.383.4
2-496-124.11-c1-0-12 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.11 $1.0$ $1$ ✓ ✓ $0.313$ $0$ $2.26847$ Modular form 496.2.bp.b.383.4
2-496-124.11-c1-0-13 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.11 $1.0$ $1$ ✓ ✓ $0.480$ $0$ $2.33183$ Modular form 496.2.bp.a.383.2
2-496-124.11-c1-0-14 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.11 $1.0$ $1$ ✓ ✓ $0.486$ $0$ $2.35481$ Modular form 496.2.bp.c.383.3
2-496-124.11-c1-0-15 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.11 $1.0$ $1$ ✓ ✓ $-0.296$ $0$ $2.88082$ Modular form 496.2.bp.b.383.1
2-496-124.11-c1-0-2 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.11 $1.0$ $1$ ✓ ✓ $-0.227$ $0$ $0.916906$ Modular form 496.2.bp.b.383.3
2-496-124.11-c1-0-3 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.11 $1.0$ $1$ ✓ ✓ $-0.0606$ $0$ $1.26958$ Modular form 496.2.bp.a.383.3
2-496-124.11-c1-0-4 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.11 $1.0$ $1$ ✓ ✓ $0.157$ $0$ $1.30568$ Modular form 496.2.bp.c.383.1
2-496-124.11-c1-0-5 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.11 $1.0$ $1$ ✓ ✓ $-0.130$ $0$ $1.38873$ Modular form 496.2.bp.a.383.5
2-496-124.11-c1-0-6 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.11 $1.0$ $1$ ✓ ✓ $-0.0133$ $0$ $1.39878$ Modular form 496.2.bp.c.383.4
2-496-124.11-c1-0-7 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.11 $1.0$ $1$ ✓ ✓ $-0.232$ $0$ $1.43689$ Modular form 496.2.bp.b.383.5
2-496-124.11-c1-0-8 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.11 $1.0$ $1$ ✓ ✓ $-0.136$ $0$ $1.58705$ Modular form 496.2.bp.c.383.5
2-496-124.11-c1-0-9 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.11 $1.0$ $1$ ✓ ✓ $0.112$ $0$ $1.66571$ Modular form 496.2.bp.b.383.2
2-496-124.115-c1-0-0 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.115 $1.0$ $1$ ✓ ✓ $-0.337$ $0$ $0.0359909$ Modular form 496.2.bp.c.239.2
2-496-124.115-c1-0-1 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.115 $1.0$ $1$ ✓ ✓ $-0.319$ $0$ $0.530914$ Modular form 496.2.bp.b.239.2
2-496-124.115-c1-0-10 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.115 $1.0$ $1$ ✓ ✓ $-0.0892$ $0$ $1.72463$ Modular form 496.2.bp.b.239.5
2-496-124.115-c1-0-11 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.115 $1.0$ $1$ ✓ ✓ $0.162$ $0$ $1.89059$ Modular form 496.2.bp.c.239.5
2-496-124.115-c1-0-12 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.115 $1.0$ $1$ ✓ ✓ $0.260$ $0$ $1.93763$ Modular form 496.2.bp.c.239.3
2-496-124.115-c1-0-13 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.115 $1.0$ $1$ ✓ ✓ $-0.488$ $0$ $2.34111$ Modular form 496.2.bp.a.239.3
2-496-124.115-c1-0-14 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.115 $1.0$ $1$ ✓ ✓ $0.345$ $0$ $2.35637$ Modular form 496.2.bp.b.239.3
2-496-124.115-c1-0-15 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.115 $1.0$ $1$ ✓ ✓ $0.215$ $0$ $2.43246$ Modular form 496.2.bp.a.239.5
2-496-124.115-c1-0-2 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.115 $1.0$ $1$ ✓ ✓ $-0.239$ $0$ $0.865518$ Modular form 496.2.bp.c.239.4
2-496-124.115-c1-0-3 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.115 $1.0$ $1$ ✓ ✓ $0.0773$ $0$ $0.987726$ Modular form 496.2.bp.a.239.1
2-496-124.115-c1-0-4 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.115 $1.0$ $1$ ✓ ✓ $0.0487$ $0$ $0.988086$ Modular form 496.2.bp.b.239.1
2-496-124.115-c1-0-5 $1.99$ $3.96$ $2$ $2^{4} \cdot 31$ 124.115 $1.0$ $1$ ✓ ✓ $0.0508$ $0$ $1.20883$ Modular form 496.2.bp.a.239.2
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