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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
2-39-39.38-c0-0-0 $0.139$ $0.0194$ $2$ $3 \cdot 13$ 39.38 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $4.39582$ Artin representation 2.39.4t3.a Artin representation 2.39.4t3.a.a Modular form 39.1.d.a Modular form 39.1.d.a.38.1
2-39-1.1-c1-0-0 $0.558$ $0.311$ $2$ $3 \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.40208$ Modular form 39.2.a.b.1.1
2-39-1.1-c1-0-1 $0.558$ $0.311$ $2$ $3 \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $3.71045$ Modular form 39.2.a.b.1.2
2-39-1.1-c1-0-2 $0.558$ $0.311$ $2$ $3 \cdot 13$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $3.71205$ Elliptic curve 39.a Modular form 39.2.a.a Modular form 39.2.a.a.1.1
2-39-13.10-c1-0-0 $0.558$ $0.311$ $2$ $3 \cdot 13$ 13.10 $1.0$ $1$ ✓ ✓ $-0.0426$ $0$ $3.03451$ Modular form 39.2.j.a.10.1
2-39-13.12-c1-0-0 $0.558$ $0.311$ $2$ $3 \cdot 13$ 13.12 $1.0$ $1$ ✓ ✓ $-0.205$ $0$ $2.50907$ Modular form 39.2.b.a.25.2
2-39-13.12-c1-0-1 $0.558$ $0.311$ $2$ $3 \cdot 13$ 13.12 $1.0$ $1$ ✓ ✓ $0.205$ $0$ $4.53114$ Modular form 39.2.b.a.25.1
2-39-13.3-c1-0-0 $0.558$ $0.311$ $2$ $3 \cdot 13$ 13.3 $1.0$ $1$ ✓ ✓ $0.0853$ $0$ $3.47426$ Modular form 39.2.e.a.16.1
2-39-13.3-c1-0-1 $0.558$ $0.311$ $2$ $3 \cdot 13$ 13.3 $1.0$ $1$ ✓ ✓ $-0.103$ $0$ $3.52701$ Modular form 39.2.e.b.16.2
2-39-13.3-c1-0-2 $0.558$ $0.311$ $2$ $3 \cdot 13$ 13.3 $1.0$ $1$ ✓ ✓ $0.351$ $0$ $5.22682$ Modular form 39.2.e.b.16.1
2-39-13.4-c1-0-0 $0.558$ $0.311$ $2$ $3 \cdot 13$ 13.4 $1.0$ $1$ ✓ ✓ $0.0426$ $0$ $3.79028$ Modular form 39.2.j.a.4.1
2-39-13.9-c1-0-0 $0.558$ $0.311$ $2$ $3 \cdot 13$ 13.9 $1.0$ $1$ ✓ ✓ $-0.351$ $0$ $1.69954$ Modular form 39.2.e.b.22.1
2-39-13.9-c1-0-1 $0.558$ $0.311$ $2$ $3 \cdot 13$ 13.9 $1.0$ $1$ ✓ ✓ $-0.0853$ $0$ $2.86393$ Modular form 39.2.e.a.22.1
2-39-13.9-c1-0-2 $0.558$ $0.311$ $2$ $3 \cdot 13$ 13.9 $1.0$ $1$ ✓ ✓ $0.103$ $0$ $4.18456$ Modular form 39.2.e.b.22.2
2-39-39.11-c1-0-0 $0.558$ $0.311$ $2$ $3 \cdot 13$ 39.11 $1.0$ $1$ ✓ ✓ $-0.0447$ $0$ $3.07843$ Modular form 39.2.k.a.11.1
2-39-39.11-c1-0-1 $0.558$ $0.311$ $2$ $3 \cdot 13$ 39.11 $1.0$ $1$ ✓ ✓ $0.192$ $0$ $3.81856$ Modular form 39.2.k.b.11.1
2-39-39.11-c1-0-2 $0.558$ $0.311$ $2$ $3 \cdot 13$ 39.11 $1.0$ $1$ ✓ ✓ $-0.0179$ $0$ $4.08471$ Modular form 39.2.k.b.11.2
2-39-39.2-c1-0-0 $0.558$ $0.311$ $2$ $3 \cdot 13$ 39.2 $1.0$ $1$ ✓ ✓ $-0.222$ $0$ $2.83605$ Modular form 39.2.k.b.2.1
2-39-39.2-c1-0-1 $0.558$ $0.311$ $2$ $3 \cdot 13$ 39.2 $1.0$ $1$ ✓ ✓ $0.0488$ $0$ $3.59850$ Modular form 39.2.k.a.2.1
2-39-39.2-c1-0-2 $0.558$ $0.311$ $2$ $3 \cdot 13$ 39.2 $1.0$ $1$ ✓ ✓ $0.209$ $0$ $5.04852$ Modular form 39.2.k.b.2.2
2-39-39.20-c1-0-0 $0.558$ $0.311$ $2$ $3 \cdot 13$ 39.20 $1.0$ $1$ ✓ ✓ $-0.209$ $0$ $2.85080$ Modular form 39.2.k.b.20.2
2-39-39.20-c1-0-1 $0.558$ $0.311$ $2$ $3 \cdot 13$ 39.20 $1.0$ $1$ ✓ ✓ $-0.0488$ $0$ $2.90998$ Modular form 39.2.k.a.20.1
2-39-39.20-c1-0-2 $0.558$ $0.311$ $2$ $3 \cdot 13$ 39.20 $1.0$ $1$ ✓ ✓ $0.222$ $0$ $4.37483$ Modular form 39.2.k.b.20.1
2-39-39.32-c1-0-0 $0.558$ $0.311$ $2$ $3 \cdot 13$ 39.32 $1.0$ $1$ ✓ ✓ $-0.192$ $0$ $1.84816$ Modular form 39.2.k.b.32.1
2-39-39.32-c1-0-1 $0.558$ $0.311$ $2$ $3 \cdot 13$ 39.32 $1.0$ $1$ ✓ ✓ $0.0447$ $0$ $3.82871$ Modular form 39.2.k.a.32.1
2-39-39.32-c1-0-2 $0.558$ $0.311$ $2$ $3 \cdot 13$ 39.32 $1.0$ $1$ ✓ ✓ $0.0179$ $0$ $3.94754$ Modular form 39.2.k.b.32.2
2-39-39.5-c1-0-0 $0.558$ $0.311$ $2$ $3 \cdot 13$ 39.5 $1.0$ $1$ ✓ ✓ $-0.105$ $0$ $3.05896$ Modular form 39.2.f.a.5.2
2-39-39.5-c1-0-1 $0.558$ $0.311$ $2$ $3 \cdot 13$ 39.5 $1.0$ $1$ ✓ ✓ $0.198$ $0$ $4.20924$ Modular form 39.2.f.a.5.1
2-39-39.8-c1-0-0 $0.558$ $0.311$ $2$ $3 \cdot 13$ 39.8 $1.0$ $1$ ✓ ✓ $-0.198$ $0$ $2.01645$ Modular form 39.2.f.a.8.1
2-39-39.8-c1-0-1 $0.558$ $0.311$ $2$ $3 \cdot 13$ 39.8 $1.0$ $1$ ✓ ✓ $0.105$ $0$ $4.53048$ Modular form 39.2.f.a.8.2
2-39-13.11-c2-0-0 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.360$ $0$ $1.67551$ Modular form 39.3.l.b.37.1
2-39-13.11-c2-0-1 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.0877$ $0$ $2.24419$ Modular form 39.3.l.a.37.1
2-39-13.11-c2-0-2 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $0.00101$ $0$ $2.61443$ Modular form 39.3.l.b.37.2
2-39-13.11-c2-0-3 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $0.262$ $0$ $4.15706$ Modular form 39.3.l.a.37.2
2-39-13.11-c2-0-4 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $0.284$ $0$ $4.40776$ Modular form 39.3.l.b.37.3
2-39-13.2-c2-0-0 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $-0.375$ $0$ $0.138130$ Modular form 39.3.l.b.28.1
2-39-13.2-c2-0-1 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $0.0521$ $0$ $1.95061$ Modular form 39.3.l.a.28.1
2-39-13.2-c2-0-2 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $-0.0644$ $0$ $2.92169$ Modular form 39.3.l.a.28.2
2-39-13.2-c2-0-3 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $0.232$ $0$ $3.38398$ Modular form 39.3.l.b.28.2
2-39-13.2-c2-0-4 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $-0.0248$ $0$ $3.45602$ Modular form 39.3.l.b.28.3
2-39-13.5-c2-0-0 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.5 $2.0$ $2$ ✓ ✓ $-0.374$ $0$ $0.893582$ Modular form 39.3.g.a.31.1
2-39-13.5-c2-0-1 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.5 $2.0$ $2$ ✓ ✓ $-0.115$ $0$ $2.12801$ Modular form 39.3.g.a.31.2
2-39-13.5-c2-0-2 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.5 $2.0$ $2$ ✓ ✓ $0.111$ $0$ $3.69011$ Modular form 39.3.g.a.31.3
2-39-13.5-c2-0-3 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.5 $2.0$ $2$ ✓ ✓ $0.191$ $0$ $4.45121$ Modular form 39.3.g.a.31.4
2-39-13.6-c2-0-0 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.6 $2.0$ $2$ ✓ ✓ $-0.262$ $0$ $2.00100$ Modular form 39.3.l.a.19.2
2-39-13.6-c2-0-1 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.6 $2.0$ $2$ ✓ ✓ $-0.284$ $0$ $2.36588$ Modular form 39.3.l.b.19.3
2-39-13.6-c2-0-2 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.6 $2.0$ $2$ ✓ ✓ $0.0877$ $0$ $2.79778$ Modular form 39.3.l.a.19.1
2-39-13.6-c2-0-3 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.6 $2.0$ $2$ ✓ ✓ $-0.00101$ $0$ $2.92550$ Modular form 39.3.l.b.19.2
2-39-13.6-c2-0-4 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.6 $2.0$ $2$ ✓ ✓ $0.360$ $0$ $4.26261$ Modular form 39.3.l.b.19.1
2-39-13.7-c2-0-0 $1.03$ $1.06$ $2$ $3 \cdot 13$ 13.7 $2.0$ $2$ ✓ ✓ $-0.232$ $0$ $1.34152$ Modular form 39.3.l.b.7.2
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