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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-2-1.1-c7-0-0 | $0.790$ | $0.624$ | $2$ | $2$ | 1.1 | $7.0$ | $7$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $8.27204$ | Modular form 2.8.a.a Modular form 2.8.a.a.1.1 | |
2-2-1.1-c9-0-0 | $1.01$ | $1.03$ | $2$ | $2$ | 1.1 | $9.0$ | $9$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $5.81514$ | Modular form 2.10.a.a Modular form 2.10.a.a.1.1 | |
2-2-1.1-c13-0-0 | $1.46$ | $2.14$ | $2$ | $2$ | 1.1 | $13.0$ | $13$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $3.64701$ | Modular form 2.14.a.b Modular form 2.14.a.b.1.1 | |
2-2-1.1-c13-0-1 | $1.46$ | $2.14$ | $2$ | $2$ | 1.1 | $13.0$ | $13$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $6.34565$ | Modular form 2.14.a.a Modular form 2.14.a.a.1.1 | |
2-2-1.1-c15-0-0 | $1.68$ | $2.85$ | $2$ | $2$ | 1.1 | $15.0$ | $15$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.45695$ | Modular form 2.16.a.a Modular form 2.16.a.a.1.1 | |
2-2-1.1-c17-0-0 | $1.91$ | $3.66$ | $2$ | $2$ | 1.1 | $17.0$ | $17$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.73797$ | Modular form 2.18.a.a Modular form 2.18.a.a.1.1 | |
2-2-1.1-c19-0-0 | $2.13$ | $4.57$ | $2$ | $2$ | 1.1 | $19.0$ | $19$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.59394$ | Modular form 2.20.a.a Modular form 2.20.a.a.1.1 | |
2-2-1.1-c19-0-1 | $2.13$ | $4.57$ | $2$ | $2$ | 1.1 | $19.0$ | $19$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $4.43588$ | Modular form 2.20.a.b Modular form 2.20.a.b.1.1 | |
2-2-1.1-c21-0-0 | $2.36$ | $5.58$ | $2$ | $2$ | 1.1 | $21.0$ | $21$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.28757$ | Modular form 2.22.a.b Modular form 2.22.a.b.1.1 | |
2-2-1.1-c21-0-1 | $2.36$ | $5.58$ | $2$ | $2$ | 1.1 | $21.0$ | $21$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $3.21390$ | Modular form 2.22.a.a Modular form 2.22.a.a.1.1 | |
2-2-1.1-c23-0-0 | $2.58$ | $6.70$ | $2$ | $2$ | 1.1 | $23.0$ | $23$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.846104$ | Modular form 2.24.a.a Modular form 2.24.a.a.1.1 | |
2-2-1.1-c25-0-0 | $2.81$ | $7.91$ | $2$ | $2$ | 1.1 | $25.0$ | $25$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.54121$ | Modular form 2.26.a.b.1.1 | ||
2-2-1.1-c25-0-1 | $2.81$ | $7.91$ | $2$ | $2$ | 1.1 | $25.0$ | $25$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.40178$ | Modular form 2.26.a.b.1.2 | ||
2-2-1.1-c25-0-2 | $2.81$ | $7.91$ | $2$ | $2$ | 1.1 | $25.0$ | $25$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.62186$ | Modular form 2.26.a.a Modular form 2.26.a.a.1.1 | |
2-2-1.1-c27-0-0 | $3.03$ | $9.23$ | $2$ | $2$ | 1.1 | $27.0$ | $27$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.50879$ | Modular form 2.28.a.a Modular form 2.28.a.a.1.1 | |
2-2-1.1-c27-0-1 | $3.03$ | $9.23$ | $2$ | $2$ | 1.1 | $27.0$ | $27$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $3.20234$ | Modular form 2.28.a.b Modular form 2.28.a.b.1.1 | |
2-2-1.1-c29-0-0 | $3.26$ | $10.6$ | $2$ | $2$ | 1.1 | $29.0$ | $29$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.83375$ | Modular form 2.30.a.b Modular form 2.30.a.b.1.1 | |
2-2-1.1-c29-0-1 | $3.26$ | $10.6$ | $2$ | $2$ | 1.1 | $29.0$ | $29$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.20837$ | Modular form 2.30.a.a Modular form 2.30.a.a.1.1 | |
2-2-1.1-c31-0-0 | $3.48$ | $12.1$ | $2$ | $2$ | 1.1 | $31.0$ | $31$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.483470$ | Modular form 2.32.a.b.1.1 | ||
2-2-1.1-c31-0-1 | $3.48$ | $12.1$ | $2$ | $2$ | 1.1 | $31.0$ | $31$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.62918$ | Modular form 2.32.a.b.1.2 | ||
2-2-1.1-c31-0-2 | $3.48$ | $12.1$ | $2$ | $2$ | 1.1 | $31.0$ | $31$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.73719$ | Modular form 2.32.a.a Modular form 2.32.a.a.1.1 | |
2-2-1.1-c33-0-0 | $3.71$ | $13.7$ | $2$ | $2$ | 1.1 | $33.0$ | $33$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.10233$ | Modular form 2.34.a.b.1.1 | ||
2-2-1.1-c33-0-1 | $3.71$ | $13.7$ | $2$ | $2$ | 1.1 | $33.0$ | $33$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.67932$ | Modular form 2.34.a.a Modular form 2.34.a.a.1.1 | |
2-2-1.1-c33-0-2 | $3.71$ | $13.7$ | $2$ | $2$ | 1.1 | $33.0$ | $33$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.99487$ | Modular form 2.34.a.b.1.2 | ||
2-2-1.1-c35-0-0 | $3.93$ | $15.5$ | $2$ | $2$ | 1.1 | $35.0$ | $35$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.02367$ | Modular form 2.36.a.a Modular form 2.36.a.a.1.1 | |
2-2-1.1-c35-0-1 | $3.93$ | $15.5$ | $2$ | $2$ | 1.1 | $35.0$ | $35$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.96289$ | Modular form 2.36.a.b Modular form 2.36.a.b.1.1 | |
2-2-1.1-c37-0-0 | $4.16$ | $17.3$ | $2$ | $2$ | 1.1 | $37.0$ | $37$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.844811$ | Modular form 2.38.a.b.1.1 | ||
2-2-1.1-c37-0-1 | $4.16$ | $17.3$ | $2$ | $2$ | 1.1 | $37.0$ | $37$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.60438$ | Modular form 2.38.a.a.1.1 | ||
2-2-1.1-c37-0-2 | $4.16$ | $17.3$ | $2$ | $2$ | 1.1 | $37.0$ | $37$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.73529$ | Modular form 2.38.a.b.1.2 | ||
2-2-1.1-c37-0-3 | $4.16$ | $17.3$ | $2$ | $2$ | 1.1 | $37.0$ | $37$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.39387$ | Modular form 2.38.a.a.1.2 | ||
2-2-1.1-c39-0-0 | $4.38$ | $19.2$ | $2$ | $2$ | 1.1 | $39.0$ | $39$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.391972$ | Modular form 2.40.a.b.1.1 | ||
2-2-1.1-c39-0-1 | $4.38$ | $19.2$ | $2$ | $2$ | 1.1 | $39.0$ | $39$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.55619$ | Modular form 2.40.a.b.1.2 | ||
2-2-1.1-c39-0-2 | $4.38$ | $19.2$ | $2$ | $2$ | 1.1 | $39.0$ | $39$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.38168$ | Modular form 2.40.a.a Modular form 2.40.a.a.1.1 | |
2-2-1.1-c41-0-0 | $4.61$ | $21.2$ | $2$ | $2$ | 1.1 | $41.0$ | $41$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.38155$ | Modular form 2.42.a.b.1.1 | ||
2-2-1.1-c41-0-1 | $4.61$ | $21.2$ | $2$ | $2$ | 1.1 | $41.0$ | $41$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.68931$ | Modular form 2.42.a.b.1.2 | ||
2-2-1.1-c41-0-2 | $4.61$ | $21.2$ | $2$ | $2$ | 1.1 | $41.0$ | $41$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.01911$ | Modular form 2.42.a.a Modular form 2.42.a.a.1.1 | |
2-2-1.1-c43-0-0 | $4.83$ | $23.4$ | $2$ | $2$ | 1.1 | $43.0$ | $43$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.581292$ | Modular form 2.44.a.a.1.2 | ||
2-2-1.1-c43-0-1 | $4.83$ | $23.4$ | $2$ | $2$ | 1.1 | $43.0$ | $43$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.878088$ | Modular form 2.44.a.a.1.1 | ||
2-2-1.1-c43-0-2 | $4.83$ | $23.4$ | $2$ | $2$ | 1.1 | $43.0$ | $43$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.85459$ | Modular form 2.44.a.b.1.1 | ||
2-2-1.1-c43-0-3 | $4.83$ | $23.4$ | $2$ | $2$ | 1.1 | $43.0$ | $43$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.57961$ | Modular form 2.44.a.b.1.2 | ||
2-2-1.1-c45-0-0 | $5.06$ | $25.6$ | $2$ | $2$ | 1.1 | $45.0$ | $45$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.00239$ | Modular form 2.46.a.b.1.1 | ||
2-2-1.1-c45-0-1 | $5.06$ | $25.6$ | $2$ | $2$ | 1.1 | $45.0$ | $45$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.06307$ | Modular form 2.46.a.a.1.1 | ||
2-2-1.1-c45-0-2 | $5.06$ | $25.6$ | $2$ | $2$ | 1.1 | $45.0$ | $45$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.91878$ | Modular form 2.46.a.a.1.2 | ||
2-2-1.1-c45-0-3 | $5.06$ | $25.6$ | $2$ | $2$ | 1.1 | $45.0$ | $45$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.01162$ | Modular form 2.46.a.b.1.2 | ||
2-2-1.1-c47-0-0 | $5.28$ | $27.9$ | $2$ | $2$ | 1.1 | $47.0$ | $47$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.816104$ | Modular form 2.48.a.b.1.1 | ||
2-2-1.1-c47-0-1 | $5.28$ | $27.9$ | $2$ | $2$ | 1.1 | $47.0$ | $47$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.30729$ | Modular form 2.48.a.b.1.2 | ||
2-2-1.1-c47-0-2 | $5.28$ | $27.9$ | $2$ | $2$ | 1.1 | $47.0$ | $47$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.91234$ | Modular form 2.48.a.a Modular form 2.48.a.a.1.1 | |
2-2-1.1-c49-0-0 | $5.51$ | $30.4$ | $2$ | $2$ | 1.1 | $49.0$ | $49$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.375345$ | Modular form 2.50.a.b.1.1 | ||
2-2-1.1-c49-0-1 | $5.51$ | $30.4$ | $2$ | $2$ | 1.1 | $49.0$ | $49$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.35713$ | Modular form 2.50.a.b.1.2 | ||
2-2-1.1-c49-0-2 | $5.51$ | $30.4$ | $2$ | $2$ | 1.1 | $49.0$ | $49$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.40570$ | Modular form 2.50.a.a.1.1 |