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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-48-1.1-c1-0-0 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $3.14826$ | Elliptic curve 48.a Modular form 48.2.a.a Modular form 48.2.a.a.1.1 | |
2-48-12.11-c1-0-0 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 12.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.0833$ | $0$ | $2.52494$ | Modular form 48.2.c.a.47.2 | |||
2-48-12.11-c1-0-1 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 12.11 | $1.0$ | $1$ | ✓ | ✓ | $0.0833$ | $0$ | $3.63537$ | Modular form 48.2.c.a.47.1 | |||
2-48-16.13-c1-0-0 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 16.13 | $1.0$ | $1$ | ✓ | ✓ | $0.0157$ | $0$ | $2.49704$ | Modular form 48.2.j.a.13.1 | |||
2-48-16.13-c1-0-1 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 16.13 | $1.0$ | $1$ | ✓ | ✓ | $-0.111$ | $0$ | $2.93277$ | Modular form 48.2.j.a.13.4 | |||
2-48-16.13-c1-0-2 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 16.13 | $1.0$ | $1$ | ✓ | ✓ | $0.109$ | $0$ | $3.86179$ | Modular form 48.2.j.a.13.3 | |||
2-48-16.13-c1-0-3 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 16.13 | $1.0$ | $1$ | ✓ | ✓ | $0.236$ | $0$ | $4.17363$ | Modular form 48.2.j.a.13.2 | |||
2-48-16.5-c1-0-0 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 16.5 | $1.0$ | $1$ | ✓ | ✓ | $-0.236$ | $0$ | $2.03485$ | Modular form 48.2.j.a.37.2 | |||
2-48-16.5-c1-0-1 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 16.5 | $1.0$ | $1$ | ✓ | ✓ | $-0.0157$ | $0$ | $2.58012$ | Modular form 48.2.j.a.37.1 | |||
2-48-16.5-c1-0-2 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 16.5 | $1.0$ | $1$ | ✓ | ✓ | $-0.109$ | $0$ | $3.26001$ | Modular form 48.2.j.a.37.3 | |||
2-48-16.5-c1-0-3 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 16.5 | $1.0$ | $1$ | ✓ | ✓ | $0.111$ | $0$ | $3.88431$ | Modular form 48.2.j.a.37.4 | |||
2-48-48.11-c1-0-0 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.221$ | $0$ | $2.19759$ | Modular form 48.2.k.a.11.4 | |||
2-48-48.11-c1-0-1 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.147$ | $0$ | $2.62921$ | Modular form 48.2.k.a.11.2 | |||
2-48-48.11-c1-0-2 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $1.0$ | $1$ | ✓ | ✓ | $0.142$ | $0$ | $3.10481$ | Modular form 48.2.k.a.11.1 | |||
2-48-48.11-c1-0-3 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $1.0$ | $1$ | ✓ | ✓ | $0.0874$ | $0$ | $3.49043$ | Modular form 48.2.k.a.11.5 | |||
2-48-48.11-c1-0-4 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $1.0$ | $1$ | ✓ | ✓ | $0.0478$ | $0$ | $3.96912$ | Modular form 48.2.k.a.11.6 | |||
2-48-48.11-c1-0-5 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $1.0$ | $1$ | ✓ | ✓ | $0.216$ | $0$ | $4.21289$ | Modular form 48.2.k.a.11.3 | |||
2-48-48.35-c1-0-0 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 48.35 | $1.0$ | $1$ | ✓ | ✓ | $-0.142$ | $0$ | $1.69578$ | Modular form 48.2.k.a.35.1 | |||
2-48-48.35-c1-0-1 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 48.35 | $1.0$ | $1$ | ✓ | ✓ | $-0.216$ | $0$ | $2.29677$ | Modular form 48.2.k.a.35.3 | |||
2-48-48.35-c1-0-2 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 48.35 | $1.0$ | $1$ | ✓ | ✓ | $-0.0874$ | $0$ | $3.18625$ | Modular form 48.2.k.a.35.5 | |||
2-48-48.35-c1-0-3 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 48.35 | $1.0$ | $1$ | ✓ | ✓ | $-0.0478$ | $0$ | $3.23986$ | Modular form 48.2.k.a.35.6 | |||
2-48-48.35-c1-0-4 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 48.35 | $1.0$ | $1$ | ✓ | ✓ | $0.147$ | $0$ | $3.49868$ | Modular form 48.2.k.a.35.2 | |||
2-48-48.35-c1-0-5 | $0.619$ | $0.383$ | $2$ | $2^{4} \cdot 3$ | 48.35 | $1.0$ | $1$ | ✓ | ✓ | $0.221$ | $0$ | $4.60154$ | Modular form 48.2.k.a.35.4 | |||
2-48-16.11-c2-0-0 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 16.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.0967$ | $0$ | $1.64318$ | Modular form 48.3.l.a.43.2 | |||
2-48-16.11-c2-0-1 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 16.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.272$ | $0$ | $1.74188$ | Modular form 48.3.l.a.43.4 | |||
2-48-16.11-c2-0-2 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 16.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.0111$ | $0$ | $1.83178$ | Modular form 48.3.l.a.43.3 | |||
2-48-16.11-c2-0-3 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 16.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.0858$ | $0$ | $2.80832$ | Modular form 48.3.l.a.43.7 | |||
2-48-16.11-c2-0-4 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 16.11 | $2.0$ | $2$ | ✓ | ✓ | $0.119$ | $0$ | $3.19387$ | Modular form 48.3.l.a.43.6 | |||
2-48-16.11-c2-0-5 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 16.11 | $2.0$ | $2$ | ✓ | ✓ | $0.0713$ | $0$ | $3.22780$ | Modular form 48.3.l.a.43.8 | |||
2-48-16.11-c2-0-6 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 16.11 | $2.0$ | $2$ | ✓ | ✓ | $0.441$ | $0$ | $3.54736$ | Modular form 48.3.l.a.43.1 | |||
2-48-16.11-c2-0-7 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 16.11 | $2.0$ | $2$ | ✓ | ✓ | $0.333$ | $0$ | $4.10867$ | Modular form 48.3.l.a.43.5 | |||
2-48-16.3-c2-0-0 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 16.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.441$ | $0$ | $0.496148$ | Modular form 48.3.l.a.19.1 | |||
2-48-16.3-c2-0-1 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 16.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.333$ | $0$ | $1.38414$ | Modular form 48.3.l.a.19.5 | |||
2-48-16.3-c2-0-2 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 16.3 | $2.0$ | $2$ | ✓ | ✓ | $0.0967$ | $0$ | $2.09422$ | Modular form 48.3.l.a.19.2 | |||
2-48-16.3-c2-0-3 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 16.3 | $2.0$ | $2$ | ✓ | ✓ | $0.0111$ | $0$ | $2.24667$ | Modular form 48.3.l.a.19.3 | |||
2-48-16.3-c2-0-4 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 16.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.119$ | $0$ | $2.55531$ | Modular form 48.3.l.a.19.6 | |||
2-48-16.3-c2-0-5 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 16.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.0713$ | $0$ | $2.57643$ | Modular form 48.3.l.a.19.8 | |||
2-48-16.3-c2-0-6 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 16.3 | $2.0$ | $2$ | ✓ | ✓ | $0.0858$ | $0$ | $3.52608$ | Modular form 48.3.l.a.19.7 | |||
2-48-16.3-c2-0-7 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 16.3 | $2.0$ | $2$ | ✓ | ✓ | $0.272$ | $0$ | $3.54826$ | Modular form 48.3.l.a.19.4 | |||
2-48-3.2-c2-0-0 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 3.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.195$ | $0$ | $1.51516$ | Modular form 48.3.e.b.17.2 | |||
2-48-3.2-c2-0-1 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 3.2 | $2.0$ | $2$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.62671$ | Modular form 48.3.e.a Modular form 48.3.e.a.17.1 | |
2-48-3.2-c2-0-2 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 3.2 | $2.0$ | $2$ | ✓ | ✓ | $0.195$ | $0$ | $3.29890$ | Modular form 48.3.e.b.17.1 | |||
2-48-4.3-c2-0-0 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 4.3 | $2.0$ | $2$ | ✓ | ✓ | $-0.0833$ | $0$ | $2.03879$ | Modular form 48.3.g.a.31.2 | |||
2-48-4.3-c2-0-1 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 4.3 | $2.0$ | $2$ | ✓ | ✓ | $0.0833$ | $0$ | $2.76052$ | Modular form 48.3.g.a.31.1 | |||
2-48-48.29-c2-0-0 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 48.29 | $2.0$ | $2$ | ✓ | ✓ | $-0.178$ | $0$ | $1.00129$ | Modular form 48.3.i.b.29.1 | |||
2-48-48.29-c2-0-1 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 48.29 | $2.0$ | $2$ | ✓ | ✓ | $-0.398$ | $0$ | $1.15046$ | Modular form 48.3.i.b.29.5 | |||
2-48-48.29-c2-0-10 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 48.29 | $2.0$ | $2$ | ✓ | ✓ | $0.0540$ | $0$ | $3.57237$ | Modular form 48.3.i.b.29.10 | |||
2-48-48.29-c2-0-11 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 48.29 | $2.0$ | $2$ | ✓ | ✓ | $0.222$ | $0$ | $3.60935$ | Modular form 48.3.i.b.29.6 | |||
2-48-48.29-c2-0-12 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 48.29 | $2.0$ | $2$ | ✓ | ✓ | $0.252$ | $0$ | $3.88519$ | Modular form 48.3.i.b.29.8 | |||
2-48-48.29-c2-0-13 | $1.14$ | $1.30$ | $2$ | $2^{4} \cdot 3$ | 48.29 | $2.0$ | $2$ | ✓ | ✓ | $0.490$ | $0$ | $4.22827$ | Modular form 48.3.i.a.29.2 |