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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-c3-0-0 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 1.1 | $3.0$ | $3$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.82647$ | Modular form 48.4.a.b Modular form 48.4.a.b.1.1 | |
2-48-1.1-c3-0-1 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 1.1 | $3.0$ | $3$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.10167$ | Modular form 48.4.a.c Modular form 48.4.a.c.1.1 | |
2-48-1.1-c3-0-2 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 1.1 | $3.0$ | $3$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $3.56656$ | Modular form 48.4.a.a Modular form 48.4.a.a.1.1 | |
2-48-12.11-c3-0-0 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 12.11 | $3.0$ | $3$ | ✓ | ✓ | $-0.279$ | $0$ | $0.714553$ | Modular form 48.4.c.b.47.1 | |||
2-48-12.11-c3-0-1 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 12.11 | $3.0$ | $3$ | ✓ | ✓ | $-0.250$ | $0$ | $1.16406$ | Modular form 48.4.c.a.47.2 | |||
2-48-12.11-c3-0-2 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 12.11 | $3.0$ | $3$ | ✓ | ✓ | $-0.112$ | $0$ | $1.75494$ | Modular form 48.4.c.b.47.4 | |||
2-48-12.11-c3-0-3 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 12.11 | $3.0$ | $3$ | ✓ | ✓ | $0.279$ | $0$ | $2.67978$ | Modular form 48.4.c.b.47.2 | |||
2-48-12.11-c3-0-4 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 12.11 | $3.0$ | $3$ | ✓ | ✓ | $0.112$ | $0$ | $2.72010$ | Modular form 48.4.c.b.47.3 | |||
2-48-12.11-c3-0-5 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 12.11 | $3.0$ | $3$ | ✓ | ✓ | $0.250$ | $0$ | $2.95679$ | Modular form 48.4.c.a.47.1 | |||
2-48-16.13-c3-0-0 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.13 | $3.0$ | $3$ | ✓ | ✓ | $-0.310$ | $0$ | $0.536167$ | Modular form 48.4.j.a.13.1 | |||
2-48-16.13-c3-0-1 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.13 | $3.0$ | $3$ | ✓ | ✓ | $-0.460$ | $0$ | $0.749751$ | Modular form 48.4.j.a.13.5 | |||
2-48-16.13-c3-0-10 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.13 | $3.0$ | $3$ | ✓ | ✓ | $0.296$ | $0$ | $3.41698$ | Modular form 48.4.j.a.13.9 | |||
2-48-16.13-c3-0-11 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.13 | $3.0$ | $3$ | ✓ | ✓ | $-0.350$ | $0$ | $4.43361$ | Modular form 48.4.j.a.13.6 | |||
2-48-16.13-c3-0-2 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.13 | $3.0$ | $3$ | ✓ | ✓ | $-0.406$ | $0$ | $0.813976$ | Modular form 48.4.j.a.13.8 | |||
2-48-16.13-c3-0-3 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.13 | $3.0$ | $3$ | ✓ | ✓ | $-0.164$ | $0$ | $0.911332$ | Modular form 48.4.j.a.13.3 | |||
2-48-16.13-c3-0-4 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.13 | $3.0$ | $3$ | ✓ | ✓ | $-0.105$ | $0$ | $1.75318$ | Modular form 48.4.j.a.13.2 | |||
2-48-16.13-c3-0-5 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.13 | $3.0$ | $3$ | ✓ | ✓ | $-0.210$ | $0$ | $1.89639$ | Modular form 48.4.j.a.13.10 | |||
2-48-16.13-c3-0-6 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.13 | $3.0$ | $3$ | ✓ | ✓ | $0.143$ | $0$ | $2.30293$ | Modular form 48.4.j.a.13.4 | |||
2-48-16.13-c3-0-7 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.13 | $3.0$ | $3$ | ✓ | ✓ | $0.00274$ | $0$ | $2.51486$ | Modular form 48.4.j.a.13.12 | |||
2-48-16.13-c3-0-8 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.13 | $3.0$ | $3$ | ✓ | ✓ | $0.0532$ | $0$ | $2.65758$ | Modular form 48.4.j.a.13.11 | |||
2-48-16.13-c3-0-9 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.13 | $3.0$ | $3$ | ✓ | ✓ | $0.262$ | $0$ | $2.71467$ | Modular form 48.4.j.a.13.7 | |||
2-48-16.5-c3-0-0 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.5 | $3.0$ | $3$ | ✓ | ✓ | $0.350$ | $0$ | $0.0485338$ | Modular form 48.4.j.a.37.6 | |||
2-48-16.5-c3-0-1 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.5 | $3.0$ | $3$ | ✓ | ✓ | $-0.143$ | $0$ | $0.835139$ | Modular form 48.4.j.a.37.4 | |||
2-48-16.5-c3-0-10 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.5 | $3.0$ | $3$ | ✓ | ✓ | $0.406$ | $0$ | $3.47879$ | Modular form 48.4.j.a.37.8 | |||
2-48-16.5-c3-0-11 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.5 | $3.0$ | $3$ | ✓ | ✓ | $0.460$ | $0$ | $3.53449$ | Modular form 48.4.j.a.37.5 | |||
2-48-16.5-c3-0-2 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.5 | $3.0$ | $3$ | ✓ | ✓ | $-0.296$ | $0$ | $1.39464$ | Modular form 48.4.j.a.37.9 | |||
2-48-16.5-c3-0-3 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.5 | $3.0$ | $3$ | ✓ | ✓ | $-0.262$ | $0$ | $1.41694$ | Modular form 48.4.j.a.37.7 | |||
2-48-16.5-c3-0-4 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.5 | $3.0$ | $3$ | ✓ | ✓ | $0.105$ | $0$ | $1.84743$ | Modular form 48.4.j.a.37.2 | |||
2-48-16.5-c3-0-5 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.5 | $3.0$ | $3$ | ✓ | ✓ | $-0.00274$ | $0$ | $2.23130$ | Modular form 48.4.j.a.37.12 | |||
2-48-16.5-c3-0-6 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.5 | $3.0$ | $3$ | ✓ | ✓ | $0.310$ | $0$ | $2.26532$ | Modular form 48.4.j.a.37.1 | |||
2-48-16.5-c3-0-7 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.5 | $3.0$ | $3$ | ✓ | ✓ | $-0.0532$ | $0$ | $2.45512$ | Modular form 48.4.j.a.37.11 | |||
2-48-16.5-c3-0-8 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.5 | $3.0$ | $3$ | ✓ | ✓ | $0.164$ | $0$ | $2.53329$ | Modular form 48.4.j.a.37.3 | |||
2-48-16.5-c3-0-9 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 16.5 | $3.0$ | $3$ | ✓ | ✓ | $0.210$ | $0$ | $3.26537$ | Modular form 48.4.j.a.37.10 | |||
2-48-48.11-c3-0-0 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $0.495$ | $0$ | $0.00853947$ | Modular form 48.4.k.a.11.5 | |||
2-48-48.11-c3-0-1 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $0.449$ | $0$ | $0.0350136$ | Modular form 48.4.k.a.11.1 | |||
2-48-48.11-c3-0-10 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $0.0854$ | $0$ | $1.72949$ | Modular form 48.4.k.a.11.8 | |||
2-48-48.11-c3-0-11 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $0.0584$ | $0$ | $1.76606$ | Modular form 48.4.k.a.11.6 | |||
2-48-48.11-c3-0-12 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $-0.215$ | $0$ | $2.11446$ | Modular form 48.4.k.a.11.16 | |||
2-48-48.11-c3-0-13 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $-0.0112$ | $0$ | $2.36264$ | Modular form 48.4.k.a.11.21 | |||
2-48-48.11-c3-0-14 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $0.234$ | $0$ | $2.42756$ | Modular form 48.4.k.a.11.4 | |||
2-48-48.11-c3-0-15 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $0.0367$ | $0$ | $2.46564$ | Modular form 48.4.k.a.11.11 | |||
2-48-48.11-c3-0-16 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $0.0255$ | $0$ | $2.58440$ | Modular form 48.4.k.a.11.20 | |||
2-48-48.11-c3-0-17 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $0.0248$ | $0$ | $2.94777$ | Modular form 48.4.k.a.11.22 | |||
2-48-48.11-c3-0-18 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $0.210$ | $0$ | $2.97404$ | Modular form 48.4.k.a.11.18 | |||
2-48-48.11-c3-0-19 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $0.231$ | $0$ | $3.03857$ | Modular form 48.4.k.a.11.13 | |||
2-48-48.11-c3-0-2 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $-0.358$ | $0$ | $0.0904499$ | Modular form 48.4.k.a.11.12 | |||
2-48-48.11-c3-0-20 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $0.303$ | $0$ | $3.76192$ | Modular form 48.4.k.a.11.17 | |||
2-48-48.11-c3-0-21 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $-0.449$ | $0$ | $3.94317$ | Modular form 48.4.k.a.11.9 | |||
2-48-48.11-c3-0-3 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $0.470$ | $0$ | $0.327945$ | Modular form 48.4.k.a.11.14 | |||
2-48-48.11-c3-0-4 | $1.68$ | $2.83$ | $2$ | $2^{4} \cdot 3$ | 48.11 | $3.0$ | $3$ | ✓ | ✓ | $0.491$ | $0$ | $0.729072$ | Modular form 48.4.k.a.11.10 |