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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2-678-1.1-c1-0-0 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.976381$ | Modular form 678.2.a.k.1.1 | ||
| 2-678-1.1-c1-0-1 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.978925$ | Modular form 678.2.a.h.1.1 | ||
| 2-678-1.1-c1-0-10 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.61319$ | Modular form 678.2.a.j.1.3 | ||
| 2-678-1.1-c1-0-11 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.62562$ | Modular form 678.2.a.i.1.1 | ||
| 2-678-1.1-c1-0-12 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.63024$ | Modular form 678.2.a.g.1.1 | ||
| 2-678-1.1-c1-0-13 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.69606$ | Modular form 678.2.a.g.1.2 | ||
| 2-678-1.1-c1-0-14 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.77483$ | Elliptic curve 678.f Modular form 678.2.a.f Modular form 678.2.a.f.1.1 | |
| 2-678-1.1-c1-0-15 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.87301$ | Elliptic curve 678.a Modular form 678.2.a.a Modular form 678.2.a.a.1.1 | |
| 2-678-1.1-c1-0-16 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.93199$ | Modular form 678.2.a.i.1.2 | ||
| 2-678-1.1-c1-0-17 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.04981$ | Elliptic curve 678.b Modular form 678.2.a.b Modular form 678.2.a.b.1.1 | |
| 2-678-1.1-c1-0-18 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.36147$ | Elliptic curve 678.c Modular form 678.2.a.c Modular form 678.2.a.c.1.1 | |
| 2-678-1.1-c1-0-2 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.05919$ | Modular form 678.2.a.j.1.1 | ||
| 2-678-1.1-c1-0-3 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.13775$ | Modular form 678.2.a.k.1.2 | ||
| 2-678-1.1-c1-0-4 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.26014$ | Modular form 678.2.a.h.1.2 | ||
| 2-678-1.1-c1-0-5 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.37695$ | Modular form 678.2.a.j.1.2 | ||
| 2-678-1.1-c1-0-6 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.43414$ | Modular form 678.2.a.k.1.4 | ||
| 2-678-1.1-c1-0-7 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.44240$ | Elliptic curve 678.d Modular form 678.2.a.d Modular form 678.2.a.d.1.1 | |
| 2-678-1.1-c1-0-8 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.50365$ | Modular form 678.2.a.k.1.3 | ||
| 2-678-1.1-c1-0-9 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.54176$ | Elliptic curve 678.e Modular form 678.2.a.e Modular form 678.2.a.e.1.1 | |
| 2-678-113.100-c1-0-0 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $0.373$ | $0$ | $0.0416895$ | Modular form 678.2.r.b.439.1 | |||
| 2-678-113.100-c1-0-1 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $0.433$ | $0$ | $0.199660$ | Modular form 678.2.r.a.439.7 | |||
| 2-678-113.100-c1-0-10 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $0.153$ | $0$ | $1.22921$ | Modular form 678.2.r.b.439.4 | |||
| 2-678-113.100-c1-0-11 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $0.212$ | $0$ | $1.43054$ | Modular form 678.2.r.b.439.10 | |||
| 2-678-113.100-c1-0-12 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $-0.0789$ | $0$ | $1.52984$ | Modular form 678.2.r.a.439.5 | |||
| 2-678-113.100-c1-0-13 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $0.136$ | $0$ | $1.62560$ | Modular form 678.2.r.a.439.6 | |||
| 2-678-113.100-c1-0-14 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $0.101$ | $0$ | $1.84852$ | Modular form 678.2.r.a.439.2 | |||
| 2-678-113.100-c1-0-15 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $0.319$ | $0$ | $1.86581$ | Modular form 678.2.r.b.439.5 | |||
| 2-678-113.100-c1-0-16 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $0.0809$ | $0$ | $1.87408$ | Modular form 678.2.r.a.439.9 | |||
| 2-678-113.100-c1-0-17 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $0.0500$ | $0$ | $1.89572$ | Modular form 678.2.r.a.439.10 | |||
| 2-678-113.100-c1-0-18 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $-0.494$ | $0$ | $1.89919$ | Modular form 678.2.r.b.439.7 | |||
| 2-678-113.100-c1-0-19 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $0.353$ | $0$ | $1.93168$ | Modular form 678.2.r.b.439.9 | |||
| 2-678-113.100-c1-0-2 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $0.328$ | $0$ | $0.263882$ | Modular form 678.2.r.a.439.1 | |||
| 2-678-113.100-c1-0-3 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $-0.258$ | $0$ | $0.398981$ | Modular form 678.2.r.b.439.2 | |||
| 2-678-113.100-c1-0-4 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $-0.241$ | $0$ | $0.477110$ | Modular form 678.2.r.b.439.3 | |||
| 2-678-113.100-c1-0-5 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $-0.491$ | $0$ | $0.529415$ | Modular form 678.2.r.a.439.4 | |||
| 2-678-113.100-c1-0-6 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $-0.0989$ | $0$ | $0.621312$ | Modular form 678.2.r.b.439.8 | |||
| 2-678-113.100-c1-0-7 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $-0.0361$ | $0$ | $0.662858$ | Modular form 678.2.r.b.439.6 | |||
| 2-678-113.100-c1-0-8 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $-0.272$ | $0$ | $0.817012$ | Modular form 678.2.r.a.439.8 | |||
| 2-678-113.100-c1-0-9 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.100 | $1.0$ | $1$ | ✓ | ✓ | $-0.276$ | $0$ | $0.905719$ | Modular form 678.2.r.a.439.3 | |||
| 2-678-113.102-c1-0-0 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.102 | $1.0$ | $1$ | ✓ | ✓ | $-0.439$ | $0$ | $0.407801$ | Modular form 678.2.r.b.667.10 | |||
| 2-678-113.102-c1-0-1 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.102 | $1.0$ | $1$ | ✓ | ✓ | $-0.206$ | $0$ | $0.418381$ | Modular form 678.2.r.b.667.3 | |||
| 2-678-113.102-c1-0-10 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.102 | $1.0$ | $1$ | ✓ | ✓ | $0.0975$ | $0$ | $1.42433$ | Modular form 678.2.r.a.667.3 | |||
| 2-678-113.102-c1-0-11 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.102 | $1.0$ | $1$ | ✓ | ✓ | $0.286$ | $0$ | $1.44771$ | Modular form 678.2.r.b.667.2 | |||
| 2-678-113.102-c1-0-12 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.102 | $1.0$ | $1$ | ✓ | ✓ | $-0.0492$ | $0$ | $1.47520$ | Modular form 678.2.r.a.667.10 | |||
| 2-678-113.102-c1-0-13 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.102 | $1.0$ | $1$ | ✓ | ✓ | $0.197$ | $0$ | $1.60129$ | Modular form 678.2.r.b.667.7 | |||
| 2-678-113.102-c1-0-14 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.102 | $1.0$ | $1$ | ✓ | ✓ | $0.0417$ | $0$ | $1.63335$ | Modular form 678.2.r.a.667.7 | |||
| 2-678-113.102-c1-0-15 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.102 | $1.0$ | $1$ | ✓ | ✓ | $0.210$ | $0$ | $1.67538$ | Modular form 678.2.r.a.667.1 | |||
| 2-678-113.102-c1-0-16 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.102 | $1.0$ | $1$ | ✓ | ✓ | $0.254$ | $0$ | $1.84408$ | Modular form 678.2.r.a.667.4 | |||
| 2-678-113.102-c1-0-17 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.102 | $1.0$ | $1$ | ✓ | ✓ | $0.275$ | $0$ | $2.33260$ | Modular form 678.2.r.a.667.6 | |||
| 2-678-113.102-c1-0-18 | $2.32$ | $5.41$ | $2$ | $2 \cdot 3 \cdot 113$ | 113.102 | $1.0$ | $1$ | ✓ | ✓ | $-0.373$ | $0$ | $2.38611$ | Modular form 678.2.r.b.667.1 |