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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
2-804-201.104-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.104 $0.0$ 0 ✓ ✓ $-0.0997$ $0$ $1.37973$ Artin representation 2.804.6t5.b.b Modular form 804.1.k.a.305.1
2-804-201.116-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.116 $0.0$ 0 ✓ ✓ $-0.0772$ $0$ $1.75682$ Modular form 804.1.be.a.317.1
2-804-201.122-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.122 $0.0$ 0 ✓ ✓ $0.0171$ $0$ $1.67114$ Modular form 804.1.be.a.725.1
2-804-201.140-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.140 $0.0$ 0 ✓ ✓ $0.204$ $0$ $2.07974$ Modular form 804.1.be.a.341.1
2-804-201.155-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.155 $0.0$ 0 ✓ ✓ $0.188$ $0$ $2.05026$ Modular form 804.1.be.a.557.1
2-804-201.167-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.167 $0.0$ 0 ✓ ✓ $-0.0388$ $0$ $1.15784$ Modular form 804.1.be.a.569.1
2-804-201.17-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.17 $0.0$ 0 ✓ ✓ $0.151$ $0$ $2.12926$ Modular form 804.1.be.a.17.1
2-804-201.170-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.170 $0.0$ 0 ✓ ✓ $-0.402$ $0$ $0.0714528$ Modular form 804.1.be.a.773.1
2-804-201.173-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.173 $0.0$ 0 ✓ ✓ $-0.0171$ $0$ $1.19294$ Modular form 804.1.be.a.173.1
2-804-201.188-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.188 $0.0$ 0 ✓ ✓ $0.402$ $0$ $2.23035$ Modular form 804.1.be.a.389.1
2-804-201.194-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.194 $0.0$ 0 ✓ ✓ $0.179$ $0$ $1.63879$ Modular form 804.1.be.a.797.1
2-804-201.23-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.23 $0.0$ 0 ✓ ✓ $-0.0834$ $0$ $1.54767$ Modular form 804.1.be.a.425.1
2-804-201.26-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.26 $0.0$ 0 ✓ ✓ $0.0772$ $0$ $1.98940$ Modular form 804.1.be.a.629.1
2-804-201.29-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.29 $0.0$ 0 ✓ ✓ $0.0997$ $0$ $2.17342$ Artin representation 2.804.6t5.b.a Modular form 804.1.k.a.29.1
2-804-201.35-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.35 $0.0$ 0 ✓ ✓ $0.0834$ $0$ $1.53755$ Modular form 804.1.be.a.437.1
2-804-201.47-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.47 $0.0$ 0 ✓ ✓ $-0.281$ $0$ $0.997863$ Modular form 804.1.be.a.449.1
2-804-201.56-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.56 $0.0$ 0 ✓ ✓ $-0.204$ $0$ $1.17102$ Modular form 804.1.be.a.257.1
2-804-201.65-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.65 $0.0$ 0 ✓ ✓ $0.0388$ $0$ $1.23885$ Modular form 804.1.be.a.65.1
2-804-201.71-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.71 $0.0$ 0 ✓ ✓ $-0.151$ $0$ $1.33101$ Modular form 804.1.be.a.473.1
2-804-201.77-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.77 $0.0$ 0 ✓ ✓ $0.281$ $0$ $2.21935$ Modular form 804.1.be.a.77.1
2-804-201.83-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.83 $0.0$ 0 ✓ ✓ $-0.188$ $0$ $1.25976$ Modular form 804.1.be.a.485.1
2-804-201.86-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 201.86 $0.0$ 0 ✓ ✓ $-0.179$ $0$ $0.904157$ Modular form 804.1.be.a.689.1
2-804-804.803-c0-0-0 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 804.803 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.32773$ Artin representation 2.804.6t3.e Artin representation 2.804.6t3.e.a Modular form 804.1.h.a Modular form 804.1.h.a.803.1
2-804-804.803-c0-0-1 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 804.803 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.55501$ Artin representation 2.804.6t3.d Artin representation 2.804.6t3.d.a Modular form 804.1.h.c Modular form 804.1.h.c.803.1
2-804-804.803-c0-0-2 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 804.803 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.64138$ Artin representation 2.804.6t3.c Artin representation 2.804.6t3.c.a Modular form 804.1.h.b Modular form 804.1.h.b.803.1
2-804-804.803-c0-0-3 $0.633$ $0.401$ $2$ $2^{2} \cdot 3 \cdot 67$ 804.803 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $2.08040$ Artin representation 2.804.3t2.a Artin representation 2.804.3t2.a.a Modular form 804.1.h.d Modular form 804.1.h.d.803.1
2-804-1.1-c1-0-0 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.642176$ Modular form 804.2.a.e.1.1
2-804-1.1-c1-0-1 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.843165$ Modular form 804.2.a.e.1.2
2-804-1.1-c1-0-10 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.91428$ Elliptic curve 804.b Modular form 804.2.a.b Modular form 804.2.a.b.1.1
2-804-1.1-c1-0-11 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.22330$ Elliptic curve 804.d Modular form 804.2.a.d Modular form 804.2.a.d.1.1
2-804-1.1-c1-0-2 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.07257$ Modular form 804.2.a.f.1.1
2-804-1.1-c1-0-3 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.21122$ Modular form 804.2.a.e.1.3
2-804-1.1-c1-0-4 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.26215$ Modular form 804.2.a.f.1.2
2-804-1.1-c1-0-5 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.29091$ Elliptic curve 804.c Modular form 804.2.a.c Modular form 804.2.a.c.1.1
2-804-1.1-c1-0-6 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.38857$ Modular form 804.2.a.f.1.5
2-804-1.1-c1-0-7 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.49024$ Modular form 804.2.a.f.1.4
2-804-1.1-c1-0-8 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.66884$ Modular form 804.2.a.f.1.3
2-804-1.1-c1-0-9 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.78029$ Elliptic curve 804.a Modular form 804.2.a.a Modular form 804.2.a.a.1.1
2-804-12.11-c1-0-0 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 12.11 $1.0$ $1$ ✓ ✓ $-0.123$ $0$ $0.0367207$ Modular form 804.2.c.b.671.61
2-804-12.11-c1-0-1 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 12.11 $1.0$ $1$ ✓ ✓ $0.470$ $0$ $0.0786440$ Modular form 804.2.c.b.671.102
2-804-12.11-c1-0-10 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 12.11 $1.0$ $1$ ✓ ✓ $0.426$ $0$ $0.353263$ Modular form 804.2.c.b.671.64
2-804-12.11-c1-0-100 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 12.11 $1.0$ $1$ ✓ ✓ $0.00470$ $0$ $1.75742$ Modular form 804.2.c.b.671.88
2-804-12.11-c1-0-101 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 12.11 $1.0$ $1$ ✓ ✓ $0.260$ $0$ $1.78380$ Modular form 804.2.c.b.671.7
2-804-12.11-c1-0-102 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 12.11 $1.0$ $1$ ✓ ✓ $-0.392$ $0$ $1.81111$ Modular form 804.2.c.b.671.35
2-804-12.11-c1-0-103 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 12.11 $1.0$ $1$ ✓ ✓ $-0.451$ $0$ $1.87240$ Modular form 804.2.c.b.671.59
2-804-12.11-c1-0-104 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 12.11 $1.0$ $1$ ✓ ✓ $0.357$ $0$ $1.87389$ Modular form 804.2.c.b.671.42
2-804-12.11-c1-0-105 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 12.11 $1.0$ $1$ ✓ ✓ $0.280$ $0$ $1.94836$ Modular form 804.2.c.b.671.127
2-804-12.11-c1-0-106 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 12.11 $1.0$ $1$ ✓ ✓ $-0.470$ $0$ $1.95426$ Modular form 804.2.c.b.671.101
2-804-12.11-c1-0-107 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 12.11 $1.0$ $1$ ✓ ✓ $-0.0243$ $0$ $1.95805$ Modular form 804.2.c.b.671.112
2-804-12.11-c1-0-108 $2.53$ $6.41$ $2$ $2^{2} \cdot 3 \cdot 67$ 12.11 $1.0$ $1$ ✓ ✓ $0.330$ $0$ $1.96262$ Modular form 804.2.c.b.671.1
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