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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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Results (50 matches)

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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
2-13-13.11-c8-0-0 $2.30$ $5.29$ $2$ $13$ 13.11 $8.0$ $8$ ✓ ✓ $-0.188$ $0$ $1.17008$ Modular form 13.9.f.a.11.3
2-13-13.11-c8-0-1 $2.30$ $5.29$ $2$ $13$ 13.11 $8.0$ $8$ ✓ ✓ $-0.317$ $0$ $1.21341$ Modular form 13.9.f.a.11.4
2-13-13.11-c8-0-2 $2.30$ $5.29$ $2$ $13$ 13.11 $8.0$ $8$ ✓ ✓ $-0.428$ $0$ $1.39564$ Modular form 13.9.f.a.11.2
2-13-13.11-c8-0-3 $2.30$ $5.29$ $2$ $13$ 13.11 $8.0$ $8$ ✓ ✓ $0.0278$ $0$ $1.81934$ Modular form 13.9.f.a.11.6
2-13-13.11-c8-0-4 $2.30$ $5.29$ $2$ $13$ 13.11 $8.0$ $8$ ✓ ✓ $0.209$ $0$ $2.35162$ Modular form 13.9.f.a.11.1
2-13-13.11-c8-0-5 $2.30$ $5.29$ $2$ $13$ 13.11 $8.0$ $8$ ✓ ✓ $0.276$ $0$ $2.70257$ Modular form 13.9.f.a.11.5
2-13-13.11-c8-0-6 $2.30$ $5.29$ $2$ $13$ 13.11 $8.0$ $8$ ✓ ✓ $0.492$ $0$ $3.97819$ Modular form 13.9.f.a.11.8
2-13-13.11-c8-0-7 $2.30$ $5.29$ $2$ $13$ 13.11 $8.0$ $8$ ✓ ✓ $-0.455$ $0$ $4.50796$ Modular form 13.9.f.a.11.7
2-13-13.2-c8-0-0 $2.30$ $5.29$ $2$ $13$ 13.2 $8.0$ $8$ ✓ ✓ $-0.384$ $0$ $0.679302$ Modular form 13.9.f.a.2.4
2-13-13.2-c8-0-1 $2.30$ $5.29$ $2$ $13$ 13.2 $8.0$ $8$ ✓ ✓ $0.0193$ $0$ $1.26379$ Modular form 13.9.f.a.2.3
2-13-13.2-c8-0-2 $2.30$ $5.29$ $2$ $13$ 13.2 $8.0$ $8$ ✓ ✓ $0.359$ $0$ $1.91554$ Modular form 13.9.f.a.2.1
2-13-13.2-c8-0-3 $2.30$ $5.29$ $2$ $13$ 13.2 $8.0$ $8$ ✓ ✓ $-0.158$ $0$ $2.08993$ Modular form 13.9.f.a.2.7
2-13-13.2-c8-0-4 $2.30$ $5.29$ $2$ $13$ 13.2 $8.0$ $8$ ✓ ✓ $0.196$ $0$ $2.63164$ Modular form 13.9.f.a.2.5
2-13-13.2-c8-0-5 $2.30$ $5.29$ $2$ $13$ 13.2 $8.0$ $8$ ✓ ✓ $0.131$ $0$ $3.26735$ Modular form 13.9.f.a.2.8
2-13-13.2-c8-0-6 $2.30$ $5.29$ $2$ $13$ 13.2 $8.0$ $8$ ✓ ✓ $0.469$ $0$ $3.94878$ Modular form 13.9.f.a.2.6
2-13-13.2-c8-0-7 $2.30$ $5.29$ $2$ $13$ 13.2 $8.0$ $8$ ✓ ✓ $-0.265$ $0$ $4.18438$ Modular form 13.9.f.a.2.2
2-13-13.5-c8-0-0 $2.30$ $5.29$ $2$ $13$ 13.5 $8.0$ $8$ ✓ ✓ $-0.386$ $0$ $0.00941901$ Modular form 13.9.d.a.5.8
2-13-13.5-c8-0-1 $2.30$ $5.29$ $2$ $13$ 13.5 $8.0$ $8$ ✓ ✓ $0.443$ $0$ $0.229177$ Modular form 13.9.d.a.5.3
2-13-13.5-c8-0-2 $2.30$ $5.29$ $2$ $13$ 13.5 $8.0$ $8$ ✓ ✓ $-0.198$ $0$ $1.04085$ Modular form 13.9.d.a.5.5
2-13-13.5-c8-0-3 $2.30$ $5.29$ $2$ $13$ 13.5 $8.0$ $8$ ✓ ✓ $0.0325$ $0$ $1.08813$ Modular form 13.9.d.a.5.1
2-13-13.5-c8-0-4 $2.30$ $5.29$ $2$ $13$ 13.5 $8.0$ $8$ ✓ ✓ $0.104$ $0$ $1.48455$ Modular form 13.9.d.a.5.4
2-13-13.5-c8-0-5 $2.30$ $5.29$ $2$ $13$ 13.5 $8.0$ $8$ ✓ ✓ $-0.144$ $0$ $1.80055$ Modular form 13.9.d.a.5.2
2-13-13.5-c8-0-6 $2.30$ $5.29$ $2$ $13$ 13.5 $8.0$ $8$ ✓ ✓ $-0.0121$ $0$ $2.15940$ Modular form 13.9.d.a.5.6
2-13-13.5-c8-0-7 $2.30$ $5.29$ $2$ $13$ 13.5 $8.0$ $8$ ✓ ✓ $0.225$ $0$ $2.93170$ Modular form 13.9.d.a.5.7
2-13-13.5-c8-0-8 $2.30$ $5.29$ $2$ $13$ 13.5 $8.0$ $8$ ✓ ✓ $0.265$ $0$ $3.67281$ Modular form 13.9.d.a.5.9
2-13-13.6-c8-0-0 $2.30$ $5.29$ $2$ $13$ 13.6 $8.0$ $8$ ✓ ✓ $-0.209$ $0$ $0.131865$ Modular form 13.9.f.a.6.1
2-13-13.6-c8-0-1 $2.30$ $5.29$ $2$ $13$ 13.6 $8.0$ $8$ ✓ ✓ $0.455$ $0$ $0.841458$ Modular form 13.9.f.a.6.7
2-13-13.6-c8-0-2 $2.30$ $5.29$ $2$ $13$ 13.6 $8.0$ $8$ ✓ ✓ $-0.276$ $0$ $0.851628$ Modular form 13.9.f.a.6.5
2-13-13.6-c8-0-3 $2.30$ $5.29$ $2$ $13$ 13.6 $8.0$ $8$ ✓ ✓ $-0.492$ $0$ $0.925579$ Modular form 13.9.f.a.6.8
2-13-13.6-c8-0-4 $2.30$ $5.29$ $2$ $13$ 13.6 $8.0$ $8$ ✓ ✓ $0.188$ $0$ $2.03593$ Modular form 13.9.f.a.6.3
2-13-13.6-c8-0-5 $2.30$ $5.29$ $2$ $13$ 13.6 $8.0$ $8$ ✓ ✓ $-0.0278$ $0$ $2.24098$ Modular form 13.9.f.a.6.6
2-13-13.6-c8-0-6 $2.30$ $5.29$ $2$ $13$ 13.6 $8.0$ $8$ ✓ ✓ $0.317$ $0$ $3.11712$ Modular form 13.9.f.a.6.4
2-13-13.6-c8-0-7 $2.30$ $5.29$ $2$ $13$ 13.6 $8.0$ $8$ ✓ ✓ $0.428$ $0$ $3.42568$ Modular form 13.9.f.a.6.2
2-13-13.7-c8-0-0 $2.30$ $5.29$ $2$ $13$ 13.7 $8.0$ $8$ ✓ ✓ $0.265$ $0$ $0.0298360$ Modular form 13.9.f.a.7.2
2-13-13.7-c8-0-1 $2.30$ $5.29$ $2$ $13$ 13.7 $8.0$ $8$ ✓ ✓ $-0.469$ $0$ $0.172534$ Modular form 13.9.f.a.7.6
2-13-13.7-c8-0-2 $2.30$ $5.29$ $2$ $13$ 13.7 $8.0$ $8$ ✓ ✓ $-0.359$ $0$ $0.381736$ Modular form 13.9.f.a.7.1
2-13-13.7-c8-0-3 $2.30$ $5.29$ $2$ $13$ 13.7 $8.0$ $8$ ✓ ✓ $-0.196$ $0$ $1.11781$ Modular form 13.9.f.a.7.5
2-13-13.7-c8-0-4 $2.30$ $5.29$ $2$ $13$ 13.7 $8.0$ $8$ ✓ ✓ $-0.0193$ $0$ $1.29434$ Modular form 13.9.f.a.7.3
2-13-13.7-c8-0-5 $2.30$ $5.29$ $2$ $13$ 13.7 $8.0$ $8$ ✓ ✓ $-0.131$ $0$ $1.71490$ Modular form 13.9.f.a.7.8
2-13-13.7-c8-0-6 $2.30$ $5.29$ $2$ $13$ 13.7 $8.0$ $8$ ✓ ✓ $0.384$ $0$ $3.31640$ Modular form 13.9.f.a.7.4
2-13-13.7-c8-0-7 $2.30$ $5.29$ $2$ $13$ 13.7 $8.0$ $8$ ✓ ✓ $0.158$ $0$ $3.36106$ Modular form 13.9.f.a.7.7
2-13-13.8-c8-0-0 $2.30$ $5.29$ $2$ $13$ 13.8 $8.0$ $8$ ✓ ✓ $-0.0325$ $0$ $0.223609$ Modular form 13.9.d.a.8.1
2-13-13.8-c8-0-1 $2.30$ $5.29$ $2$ $13$ 13.8 $8.0$ $8$ ✓ ✓ $-0.104$ $0$ $0.632210$ Modular form 13.9.d.a.8.4
2-13-13.8-c8-0-2 $2.30$ $5.29$ $2$ $13$ 13.8 $8.0$ $8$ ✓ ✓ $-0.225$ $0$ $1.66800$ Modular form 13.9.d.a.8.7
2-13-13.8-c8-0-3 $2.30$ $5.29$ $2$ $13$ 13.8 $8.0$ $8$ ✓ ✓ $0.144$ $0$ $1.71755$ Modular form 13.9.d.a.8.2
2-13-13.8-c8-0-4 $2.30$ $5.29$ $2$ $13$ 13.8 $8.0$ $8$ ✓ ✓ $-0.265$ $0$ $2.10158$ Modular form 13.9.d.a.8.9
2-13-13.8-c8-0-5 $2.30$ $5.29$ $2$ $13$ 13.8 $8.0$ $8$ ✓ ✓ $0.198$ $0$ $2.62430$ Modular form 13.9.d.a.8.5
2-13-13.8-c8-0-6 $2.30$ $5.29$ $2$ $13$ 13.8 $8.0$ $8$ ✓ ✓ $0.0121$ $0$ $2.71932$ Modular form 13.9.d.a.8.6
2-13-13.8-c8-0-7 $2.30$ $5.29$ $2$ $13$ 13.8 $8.0$ $8$ ✓ ✓ $0.386$ $0$ $3.32000$ Modular form 13.9.d.a.8.8
2-13-13.8-c8-0-8 $2.30$ $5.29$ $2$ $13$ 13.8 $8.0$ $8$ ✓ ✓ $-0.443$ $0$ $3.44127$ Modular form 13.9.d.a.8.3
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