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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
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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
2-287-1.1-c1-0-0 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.382685$ Modular form 287.2.a.f.1.3
2-287-1.1-c1-0-1 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.731913$ Modular form 287.2.a.e.1.1
2-287-1.1-c1-0-10 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.84572$ Modular form 287.2.a.d.1.1
2-287-1.1-c1-0-11 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.94750$ Modular form 287.2.a.f.1.6
2-287-1.1-c1-0-12 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.03910$ Modular form 287.2.a.e.1.4
2-287-1.1-c1-0-13 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.23430$ Modular form 287.2.a.c.1.3
2-287-1.1-c1-0-14 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.23799$ Modular form 287.2.a.b.1.1
2-287-1.1-c1-0-15 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.33837$ Modular form 287.2.a.d.1.2
2-287-1.1-c1-0-16 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.49526$ Modular form 287.2.a.d.1.3
2-287-1.1-c1-0-17 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.51833$ Modular form 287.2.a.f.1.5
2-287-1.1-c1-0-18 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.61990$ Modular form 287.2.a.e.1.5
2-287-1.1-c1-0-19 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.62714$ Modular form 287.2.a.b.1.2
2-287-1.1-c1-0-2 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.947552$ Modular form 287.2.a.e.1.2
2-287-1.1-c1-0-20 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.82674$ Modular form 287.2.a.a.1.2
2-287-1.1-c1-0-3 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.03985$ Modular form 287.2.a.f.1.4
2-287-1.1-c1-0-4 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.09360$ Modular form 287.2.a.f.1.2
2-287-1.1-c1-0-5 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.13914$ Modular form 287.2.a.c.1.2
2-287-1.1-c1-0-6 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.27871$ Modular form 287.2.a.f.1.1
2-287-1.1-c1-0-7 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.55216$ Modular form 287.2.a.e.1.3
2-287-1.1-c1-0-8 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.66986$ Modular form 287.2.a.c.1.1
2-287-1.1-c1-0-9 $1.51$ $2.29$ $2$ $7 \cdot 41$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.72305$ Modular form 287.2.a.a.1.1
2-287-287.100-c1-0-0 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $-0.309$ $0$ $0.251129$ Modular form 287.2.s.a.100.16
2-287-287.100-c1-0-1 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $0.0143$ $0$ $0.668638$ Modular form 287.2.s.a.100.5
2-287-287.100-c1-0-10 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $0.111$ $0$ $1.43042$ Modular form 287.2.s.a.100.3
2-287-287.100-c1-0-11 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $0.150$ $0$ $1.51513$ Modular form 287.2.s.a.100.12
2-287-287.100-c1-0-12 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $-0.484$ $0$ $1.71276$ Modular form 287.2.s.a.100.2
2-287-287.100-c1-0-13 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $-0.110$ $0$ $1.87613$ Modular form 287.2.s.a.100.23
2-287-287.100-c1-0-14 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $0.289$ $0$ $1.89647$ Modular form 287.2.s.a.100.10
2-287-287.100-c1-0-15 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $-0.0557$ $0$ $1.92475$ Modular form 287.2.s.a.100.25
2-287-287.100-c1-0-16 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $0.399$ $0$ $1.92980$ Modular form 287.2.s.a.100.6
2-287-287.100-c1-0-17 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $-0.133$ $0$ $2.07750$ Modular form 287.2.s.a.100.22
2-287-287.100-c1-0-18 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $-0.176$ $0$ $2.16311$ Modular form 287.2.s.a.100.24
2-287-287.100-c1-0-19 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $0.149$ $0$ $2.20797$ Modular form 287.2.s.a.100.15
2-287-287.100-c1-0-2 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $-0.373$ $0$ $0.717094$ Modular form 287.2.s.a.100.4
2-287-287.100-c1-0-20 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $0.133$ $0$ $2.36089$ Modular form 287.2.s.a.100.20
2-287-287.100-c1-0-21 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $0.299$ $0$ $2.71951$ Modular form 287.2.s.a.100.18
2-287-287.100-c1-0-22 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $0.0726$ $0$ $2.86957$ Modular form 287.2.s.a.100.26
2-287-287.100-c1-0-23 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $0.278$ $0$ $2.92670$ Modular form 287.2.s.a.100.21
2-287-287.100-c1-0-24 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $-0.366$ $0$ $3.04341$ Modular form 287.2.s.a.100.11
2-287-287.100-c1-0-25 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $-0.455$ $0$ $3.17989$ Modular form 287.2.s.a.100.14
2-287-287.100-c1-0-3 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $-0.128$ $0$ $0.766143$ Modular form 287.2.s.a.100.9
2-287-287.100-c1-0-4 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $-0.364$ $0$ $0.803935$ Modular form 287.2.s.a.100.13
2-287-287.100-c1-0-5 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $-0.283$ $0$ $1.04078$ Modular form 287.2.s.a.100.8
2-287-287.100-c1-0-6 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $-0.255$ $0$ $1.29008$ Modular form 287.2.s.a.100.19
2-287-287.100-c1-0-7 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $0.108$ $0$ $1.30700$ Modular form 287.2.s.a.100.1
2-287-287.100-c1-0-8 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $-0.0198$ $0$ $1.36517$ Modular form 287.2.s.a.100.7
2-287-287.100-c1-0-9 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.100 $1.0$ $1$ ✓ ✓ $-0.219$ $0$ $1.41036$ Modular form 287.2.s.a.100.17
2-287-287.101-c1-0-0 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.101 $1.0$ $1$ ✓ ✓ $0.426$ $0$ $0.200766$ Modular form 287.2.be.a.101.5
2-287-287.101-c1-0-1 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.101 $1.0$ $1$ ✓ ✓ $-0.137$ $0$ $0.386270$ Modular form 287.2.be.a.101.8
2-287-287.101-c1-0-10 $1.51$ $2.29$ $2$ $7 \cdot 41$ 287.101 $1.0$ $1$ ✓ ✓ $0.245$ $0$ $1.54130$ Modular form 287.2.be.a.101.6
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