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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
2-294-1.1-c3-0-0 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0$ $0$ $0.504865$ Modular form 294.4.a.a Modular form 294.4.a.a.1.1
2-294-1.1-c3-0-1 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.697799$ Modular form 294.4.a.j.1.1
2-294-1.1-c3-0-10 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.46372$ Modular form 294.4.a.o.1.1
2-294-1.1-c3-0-11 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.49980$ Modular form 294.4.a.b Modular form 294.4.a.b.1.1
2-294-1.1-c3-0-12 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.50585$ Modular form 294.4.a.o.1.2
2-294-1.1-c3-0-13 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.65052$ Modular form 294.4.a.c Modular form 294.4.a.c.1.1
2-294-1.1-c3-0-14 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.74112$ Modular form 294.4.a.k.1.1
2-294-1.1-c3-0-15 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.74232$ Modular form 294.4.a.n.1.2
2-294-1.1-c3-0-16 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.86065$ Modular form 294.4.a.d Modular form 294.4.a.d.1.1
2-294-1.1-c3-0-17 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.01758$ Modular form 294.4.a.k.1.2
2-294-1.1-c3-0-18 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.04672$ Modular form 294.4.a.l.1.1
2-294-1.1-c3-0-19 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.08297$ Modular form 294.4.a.l.1.2
2-294-1.1-c3-0-2 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.868904$ Modular form 294.4.a.m.1.1
2-294-1.1-c3-0-20 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.37335$ Modular form 294.4.a.i Modular form 294.4.a.i.1.1
2-294-1.1-c3-0-3 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0$ $0$ $0.961018$ Modular form 294.4.a.e Modular form 294.4.a.e.1.1
2-294-1.1-c3-0-4 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.07004$ Modular form 294.4.a.j.1.2
2-294-1.1-c3-0-5 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0$ $0$ $1.09334$ Modular form 294.4.a.h Modular form 294.4.a.h.1.1
2-294-1.1-c3-0-6 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0$ $0$ $1.17754$ Modular form 294.4.a.f Modular form 294.4.a.f.1.1
2-294-1.1-c3-0-7 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.22960$ Modular form 294.4.a.n.1.1
2-294-1.1-c3-0-8 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0$ $0$ $1.27299$ Modular form 294.4.a.g Modular form 294.4.a.g.1.1
2-294-1.1-c3-0-9 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.33920$ Modular form 294.4.a.m.1.2
2-294-21.17-c3-0-0 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $-0.299$ $0$ $0.118120$ Modular form 294.4.f.c.227.1
2-294-21.17-c3-0-1 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $-0.408$ $0$ $0.132598$ Modular form 294.4.f.c.227.21
2-294-21.17-c3-0-10 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $-0.0635$ $0$ $0.850827$ Modular form 294.4.f.c.227.8
2-294-21.17-c3-0-11 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $-0.0845$ $0$ $0.871452$ Modular form 294.4.f.b.227.3
2-294-21.17-c3-0-12 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $-0.218$ $0$ $0.902752$ Modular form 294.4.f.c.227.16
2-294-21.17-c3-0-13 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $-0.0134$ $0$ $0.919387$ Modular form 294.4.f.c.227.19
2-294-21.17-c3-0-14 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $-0.204$ $0$ $0.921696$ Modular form 294.4.f.c.227.4
2-294-21.17-c3-0-15 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $-0.270$ $0$ $0.997711$ Modular form 294.4.f.b.227.4
2-294-21.17-c3-0-16 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.229$ $0$ $1.06639$ Modular form 294.4.f.b.227.1
2-294-21.17-c3-0-17 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.176$ $0$ $1.21042$ Modular form 294.4.f.c.227.24
2-294-21.17-c3-0-18 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $-0.100$ $0$ $1.28503$ Modular form 294.4.f.a.227.8
2-294-21.17-c3-0-19 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.108$ $0$ $1.32429$ Modular form 294.4.f.c.227.7
2-294-21.17-c3-0-2 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.430$ $0$ $0.282779$ Modular form 294.4.f.c.227.2
2-294-21.17-c3-0-20 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.0943$ $0$ $1.34180$ Modular form 294.4.f.c.227.9
2-294-21.17-c3-0-21 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.0182$ $0$ $1.36226$ Modular form 294.4.f.c.227.22
2-294-21.17-c3-0-22 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.111$ $0$ $1.37164$ Modular form 294.4.f.a.227.6
2-294-21.17-c3-0-23 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.272$ $0$ $1.54861$ Modular form 294.4.f.c.227.11
2-294-21.17-c3-0-24 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.104$ $0$ $1.56919$ Modular form 294.4.f.b.227.8
2-294-21.17-c3-0-25 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.351$ $0$ $1.58456$ Modular form 294.4.f.a.227.5
2-294-21.17-c3-0-26 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.287$ $0$ $1.64042$ Modular form 294.4.f.c.227.14
2-294-21.17-c3-0-27 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.415$ $0$ $1.66949$ Modular form 294.4.f.b.227.2
2-294-21.17-c3-0-28 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $-0.496$ $0$ $1.69278$ Modular form 294.4.f.c.227.5
2-294-21.17-c3-0-29 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.242$ $0$ $1.70005$ Modular form 294.4.f.a.227.4
2-294-21.17-c3-0-3 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.349$ $0$ $0.310414$ Modular form 294.4.f.c.227.10
2-294-21.17-c3-0-30 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.299$ $0$ $1.70931$ Modular form 294.4.f.c.227.20
2-294-21.17-c3-0-31 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.278$ $0$ $2.01155$ Modular form 294.4.f.c.227.18
2-294-21.17-c3-0-32 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.290$ $0$ $2.03719$ Modular form 294.4.f.b.227.7
2-294-21.17-c3-0-33 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $0.453$ $0$ $2.03747$ Modular form 294.4.f.a.227.3
2-294-21.17-c3-0-34 $4.16$ $17.3$ $2$ $2 \cdot 3 \cdot 7^{2}$ 21.17 $3.0$ $3$ ✓ ✓ $-0.395$ $0$ $2.21322$ Modular form 294.4.f.b.227.5
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