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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
2-579-1.1-c1-0-0 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.428203$ Modular form 579.2.a.f.1.3
2-579-1.1-c1-0-1 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.668942$ Modular form 579.2.a.f.1.5
2-579-1.1-c1-0-10 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.24257$ Modular form 579.2.a.f.1.7
2-579-1.1-c1-0-11 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.33320$ Modular form 579.2.a.g.1.7
2-579-1.1-c1-0-12 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.44824$ Modular form 579.2.a.g.1.2
2-579-1.1-c1-0-13 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.46717$ Modular form 579.2.a.g.1.5
2-579-1.1-c1-0-14 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.48029$ Modular form 579.2.a.d.1.1
2-579-1.1-c1-0-15 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.53464$ Modular form 579.2.a.g.1.8
2-579-1.1-c1-0-16 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.56676$ Modular form 579.2.a.c.1.1
2-579-1.1-c1-0-17 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.62510$ Elliptic curve 579.b Modular form 579.2.a.b Modular form 579.2.a.b.1.1
2-579-1.1-c1-0-18 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.62693$ Modular form 579.2.a.c.1.2
2-579-1.1-c1-0-19 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.64906$ Modular form 579.2.a.g.1.9
2-579-1.1-c1-0-2 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.869956$ Modular form 579.2.a.f.1.6
2-579-1.1-c1-0-20 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.71398$ Modular form 579.2.a.f.1.8
2-579-1.1-c1-0-21 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.73979$ Modular form 579.2.a.f.1.10
2-579-1.1-c1-0-22 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.77160$ Modular form 579.2.a.e.1.1
2-579-1.1-c1-0-23 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.02802$ Modular form 579.2.a.g.1.11
2-579-1.1-c1-0-24 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.04387$ Elliptic curve 579.a Modular form 579.2.a.a Modular form 579.2.a.a.1.1
2-579-1.1-c1-0-25 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.07756$ Modular form 579.2.a.g.1.13
2-579-1.1-c1-0-26 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.13853$ Modular form 579.2.a.g.1.10
2-579-1.1-c1-0-27 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.16984$ Modular form 579.2.a.g.1.12
2-579-1.1-c1-0-28 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.17219$ Modular form 579.2.a.d.1.2
2-579-1.1-c1-0-29 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.17653$ Modular form 579.2.a.f.1.9
2-579-1.1-c1-0-3 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.906485$ Modular form 579.2.a.f.1.1
2-579-1.1-c1-0-30 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.35267$ Modular form 579.2.a.e.1.2
2-579-1.1-c1-0-31 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.58983$ Modular form 579.2.a.d.1.3
2-579-1.1-c1-0-32 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $3.00703$ Modular form 579.2.a.e.1.3
2-579-1.1-c1-0-4 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.912489$ Modular form 579.2.a.g.1.3
2-579-1.1-c1-0-5 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.935024$ Modular form 579.2.a.g.1.6
2-579-1.1-c1-0-6 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.984807$ Modular form 579.2.a.f.1.2
2-579-1.1-c1-0-7 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.07422$ Modular form 579.2.a.g.1.1
2-579-1.1-c1-0-8 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.19197$ Modular form 579.2.a.g.1.4
2-579-1.1-c1-0-9 $2.15$ $4.62$ $2$ $3 \cdot 193$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.19831$ Modular form 579.2.a.f.1.4
2-579-193.100-c1-0-0 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $-0.0245$ $0$ $0.0728752$ Modular form 579.2.z.b.100.1
2-579-193.100-c1-0-1 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $0.189$ $0$ $0.241905$ Modular form 579.2.z.a.100.15
2-579-193.100-c1-0-10 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $-0.346$ $0$ $1.01735$ Modular form 579.2.z.a.100.12
2-579-193.100-c1-0-11 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $0.153$ $0$ $1.20257$ Modular form 579.2.z.a.100.4
2-579-193.100-c1-0-12 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $0.0956$ $0$ $1.50628$ Modular form 579.2.z.b.100.6
2-579-193.100-c1-0-13 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $-0.0278$ $0$ $1.51075$ Modular form 579.2.z.a.100.10
2-579-193.100-c1-0-14 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $-0.270$ $0$ $1.52191$ Modular form 579.2.z.b.100.13
2-579-193.100-c1-0-15 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $-0.156$ $0$ $1.52541$ Modular form 579.2.z.b.100.14
2-579-193.100-c1-0-16 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $-0.222$ $0$ $1.58480$ Modular form 579.2.z.a.100.11
2-579-193.100-c1-0-17 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $0.00375$ $0$ $1.65866$ Modular form 579.2.z.b.100.10
2-579-193.100-c1-0-18 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $0.0237$ $0$ $1.69800$ Modular form 579.2.z.b.100.9
2-579-193.100-c1-0-19 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $-0.472$ $0$ $1.69810$ Modular form 579.2.z.b.100.2
2-579-193.100-c1-0-2 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $-0.271$ $0$ $0.284443$ Modular form 579.2.z.a.100.3
2-579-193.100-c1-0-20 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $0.325$ $0$ $1.79435$ Modular form 579.2.z.a.100.5
2-579-193.100-c1-0-21 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $0.219$ $0$ $1.87897$ Modular form 579.2.z.a.100.7
2-579-193.100-c1-0-22 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $0.197$ $0$ $1.91242$ Modular form 579.2.z.b.100.8
2-579-193.100-c1-0-23 $2.15$ $4.62$ $2$ $3 \cdot 193$ 193.100 $1.0$ $1$ ✓ ✓ $0.449$ $0$ $2.04104$ Modular form 579.2.z.b.100.4
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