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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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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-201-201.104-c0-0-0 $0.316$ $0.100$ $2$ $3 \cdot 67$ 201.104 $0.0$ 0 ✓ ✓ $-0.349$ $0$ $1.15003$ Artin representation 2.201.16t60.a.d Modular form 201.1.g.a.104.1
2-201-201.104-c0-0-1 $0.316$ $0.100$ $2$ $3 \cdot 67$ 201.104 $0.0$ 0 ✓ ✓ $0.150$ $0$ $3.25837$ Artin representation 2.201.16t60.a.a Modular form 201.1.g.a.104.2
2-201-201.107-c0-0-0 $0.316$ $0.100$ $2$ $3 \cdot 67$ 201.107 $0.0$ 0 ✓ ✓ $0.0335$ $0$ $2.38980$ Modular form 201.1.k.a.107.1
2-201-201.131-c0-0-0 $0.316$ $0.100$ $2$ $3 \cdot 67$ 201.131 $0.0$ 0 ✓ ✓ $-0.146$ $0$ $1.90019$ Modular form 201.1.k.a.131.1
2-201-201.14-c0-0-0 $0.316$ $0.100$ $2$ $3 \cdot 67$ 201.14 $0.0$ 0 ✓ ✓ $-0.0994$ $0$ $2.07000$ Modular form 201.1.k.a.14.1
2-201-201.143-c0-0-0 $0.316$ $0.100$ $2$ $3 \cdot 67$ 201.143 $0.0$ 0 ✓ ✓ $-0.0629$ $0$ $1.74606$ Modular form 201.1.k.a.143.1
2-201-201.149-c0-0-0 $0.316$ $0.100$ $2$ $3 \cdot 67$ 201.149 $0.0$ 0 ✓ ✓ $0.0629$ $0$ $2.29956$ Modular form 201.1.k.a.149.1
2-201-201.158-c0-0-0 $0.316$ $0.100$ $2$ $3 \cdot 67$ 201.158 $0.0$ 0 ✓ ✓ $0.0994$ $0$ $2.92504$ Modular form 201.1.k.a.158.1
2-201-201.29-c0-0-0 $0.316$ $0.100$ $2$ $3 \cdot 67$ 201.29 $0.0$ 0 ✓ ✓ $-0.150$ $0$ $2.45801$ Artin representation 2.201.16t60.a.b Modular form 201.1.g.a.29.2
2-201-201.29-c0-0-1 $0.316$ $0.100$ $2$ $3 \cdot 67$ 201.29 $0.0$ 0 ✓ ✓ $0.349$ $0$ $3.06862$ Artin representation 2.201.16t60.a.c Modular form 201.1.g.a.29.1
2-201-201.59-c0-0-0 $0.316$ $0.100$ $2$ $3 \cdot 67$ 201.59 $0.0$ 0 ✓ ✓ $0.246$ $0$ $2.96749$ Modular form 201.1.k.a.59.1
2-201-201.62-c0-0-0 $0.316$ $0.100$ $2$ $3 \cdot 67$ 201.62 $0.0$ 0 ✓ ✓ $-0.0335$ $0$ $2.35399$ Modular form 201.1.k.a.62.1
2-201-201.89-c0-0-0 $0.316$ $0.100$ $2$ $3 \cdot 67$ 201.89 $0.0$ 0 ✓ ✓ $0.146$ $0$ $3.17567$ Modular form 201.1.k.a.89.1
2-201-201.92-c0-0-0 $0.316$ $0.100$ $2$ $3 \cdot 67$ 201.92 $0.0$ 0 ✓ ✓ $-0.246$ $0$ $1.14623$ Modular form 201.1.k.a.92.1
2-201-1.1-c1-0-0 $1.26$ $1.60$ $2$ $3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.13158$ Modular form 201.2.a.d.1.1
2-201-1.1-c1-0-1 $1.26$ $1.60$ $2$ $3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.28439$ Modular form 201.2.a.e.1.2
2-201-1.1-c1-0-10 $1.26$ $1.60$ $2$ $3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $3.53695$ Elliptic curve 201.c Modular form 201.2.a.c Modular form 201.2.a.c.1.1
2-201-1.1-c1-0-2 $1.26$ $1.60$ $2$ $3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.46651$ Modular form 201.2.a.e.1.1
2-201-1.1-c1-0-3 $1.26$ $1.60$ $2$ $3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.76709$ Modular form 201.2.a.e.1.3
2-201-1.1-c1-0-4 $1.26$ $1.60$ $2$ $3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.00427$ Modular form 201.2.a.d.1.2
2-201-1.1-c1-0-5 $1.26$ $1.60$ $2$ $3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.14079$ Elliptic curve 201.a Modular form 201.2.a.a Modular form 201.2.a.a.1.1
2-201-1.1-c1-0-6 $1.26$ $1.60$ $2$ $3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.33556$ Modular form 201.2.a.e.1.4
2-201-1.1-c1-0-7 $1.26$ $1.60$ $2$ $3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.48610$ Modular form 201.2.a.d.1.3
2-201-1.1-c1-0-8 $1.26$ $1.60$ $2$ $3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.72483$ Modular form 201.2.a.e.1.5
2-201-1.1-c1-0-9 $1.26$ $1.60$ $2$ $3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.81339$ Elliptic curve 201.b Modular form 201.2.a.b Modular form 201.2.a.b.1.1
2-201-201.101-c1-0-0 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.165$ $0$ $0.146096$ Modular form 201.2.p.b.101.1
2-201-201.101-c1-0-1 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.323$ $0$ $0.467746$ Modular form 201.2.p.b.101.19
2-201-201.101-c1-0-10 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.185$ $0$ $1.93469$ Modular form 201.2.p.b.101.14
2-201-201.101-c1-0-11 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.268$ $0$ $1.95750$ Modular form 201.2.p.b.101.7
2-201-201.101-c1-0-12 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.162$ $0$ $1.97306$ Modular form 201.2.p.b.101.16
2-201-201.101-c1-0-13 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.0707$ $0$ $2.04102$ Modular form 201.2.p.a.101.1
2-201-201.101-c1-0-14 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.0844$ $0$ $2.10659$ Modular form 201.2.p.b.101.15
2-201-201.101-c1-0-15 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.179$ $0$ $2.45285$ Modular form 201.2.p.b.101.8
2-201-201.101-c1-0-16 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.316$ $0$ $2.52278$ Modular form 201.2.p.b.101.6
2-201-201.101-c1-0-17 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.343$ $0$ $2.65121$ Modular form 201.2.p.b.101.4
2-201-201.101-c1-0-18 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.218$ $0$ $2.80361$ Modular form 201.2.p.b.101.11
2-201-201.101-c1-0-19 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.412$ $0$ $3.25480$ Modular form 201.2.p.b.101.5
2-201-201.101-c1-0-2 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.434$ $0$ $0.840759$ Modular form 201.2.p.b.101.18
2-201-201.101-c1-0-20 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.385$ $0$ $3.76915$ Modular form 201.2.p.b.101.3
2-201-201.101-c1-0-3 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.337$ $0$ $1.01071$ Modular form 201.2.p.b.101.13
2-201-201.101-c1-0-4 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.102$ $0$ $1.38389$ Modular form 201.2.p.b.101.9
2-201-201.101-c1-0-5 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.481$ $0$ $1.39118$ Modular form 201.2.p.b.101.20
2-201-201.101-c1-0-6 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.462$ $0$ $1.46066$ Modular form 201.2.p.b.101.17
2-201-201.101-c1-0-7 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.232$ $0$ $1.58244$ Modular form 201.2.p.b.101.12
2-201-201.101-c1-0-8 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.152$ $0$ $1.77036$ Modular form 201.2.p.b.101.2
2-201-201.101-c1-0-9 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.0696$ $0$ $1.83079$ Modular form 201.2.p.b.101.10
2-201-201.11-c1-0-0 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $-0.189$ $0$ $0.332632$ Modular form 201.2.p.b.11.6
2-201-201.11-c1-0-1 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $0.383$ $0$ $0.518930$ Modular form 201.2.p.b.11.17
2-201-201.11-c1-0-10 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $0.391$ $0$ $2.10955$ Modular form 201.2.p.b.11.4
2-201-201.11-c1-0-11 $1.26$ $1.60$ $2$ $3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $0.172$ $0$ $2.11870$ Modular form 201.2.p.b.11.11
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