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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-69-1.1-c1-0-0 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.65001$ | Modular form 69.2.a.b.1.1 | ||
2-69-1.1-c1-0-1 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $3.14498$ | Elliptic curve 69.a Modular form 69.2.a.a Modular form 69.2.a.a.1.1 | |
2-69-1.1-c1-0-2 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $3.61218$ | Modular form 69.2.a.b.1.2 | ||
2-69-23.12-c1-0-0 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.12 | $1.0$ | $1$ | ✓ | ✓ | $-0.261$ | $0$ | $1.35185$ | Modular form 69.2.e.c.58.1 | |||
2-69-23.12-c1-0-1 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.12 | $1.0$ | $1$ | ✓ | ✓ | $-0.0101$ | $0$ | $2.39490$ | Modular form 69.2.e.a.58.1 | |||
2-69-23.12-c1-0-2 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.12 | $1.0$ | $1$ | ✓ | ✓ | $0.0315$ | $0$ | $2.95234$ | Modular form 69.2.e.c.58.2 | |||
2-69-23.12-c1-0-3 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.12 | $1.0$ | $1$ | ✓ | ✓ | $0.125$ | $0$ | $3.94555$ | Modular form 69.2.e.b.58.1 | |||
2-69-23.13-c1-0-0 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.13 | $1.0$ | $1$ | ✓ | ✓ | $-0.175$ | $0$ | $2.66114$ | Modular form 69.2.e.a.13.1 | |||
2-69-23.13-c1-0-1 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.13 | $1.0$ | $1$ | ✓ | ✓ | $-0.0668$ | $0$ | $2.78709$ | Modular form 69.2.e.c.13.2 | |||
2-69-23.13-c1-0-2 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.13 | $1.0$ | $1$ | ✓ | ✓ | $0.259$ | $0$ | $2.96610$ | Modular form 69.2.e.c.13.1 | |||
2-69-23.13-c1-0-3 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.13 | $1.0$ | $1$ | ✓ | ✓ | $0.155$ | $0$ | $3.17786$ | Modular form 69.2.e.b.13.1 | |||
2-69-23.16-c1-0-0 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.16 | $1.0$ | $1$ | ✓ | ✓ | $-0.259$ | $0$ | $1.65095$ | Modular form 69.2.e.c.16.1 | |||
2-69-23.16-c1-0-1 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.16 | $1.0$ | $1$ | ✓ | ✓ | $-0.155$ | $0$ | $1.75989$ | Modular form 69.2.e.b.16.1 | |||
2-69-23.16-c1-0-2 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.16 | $1.0$ | $1$ | ✓ | ✓ | $0.0668$ | $0$ | $3.09069$ | Modular form 69.2.e.c.16.2 | |||
2-69-23.16-c1-0-3 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.16 | $1.0$ | $1$ | ✓ | ✓ | $0.175$ | $0$ | $3.79690$ | Modular form 69.2.e.a.16.1 | |||
2-69-23.18-c1-0-0 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.18 | $1.0$ | $1$ | ✓ | ✓ | $-0.186$ | $0$ | $0.999569$ | Modular form 69.2.e.c.64.1 | |||
2-69-23.18-c1-0-1 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.18 | $1.0$ | $1$ | ✓ | ✓ | $0.263$ | $0$ | $2.65808$ | Modular form 69.2.e.a.64.1 | |||
2-69-23.18-c1-0-2 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.18 | $1.0$ | $1$ | ✓ | ✓ | $-0.0782$ | $0$ | $2.82825$ | Modular form 69.2.e.c.64.2 | |||
2-69-23.18-c1-0-3 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.18 | $1.0$ | $1$ | ✓ | ✓ | $0.156$ | $0$ | $3.27533$ | Modular form 69.2.e.b.64.1 | |||
2-69-23.2-c1-0-0 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.2 | $1.0$ | $1$ | ✓ | ✓ | $0.0101$ | $0$ | $2.40726$ | Modular form 69.2.e.a.25.1 | |||
2-69-23.2-c1-0-1 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.2 | $1.0$ | $1$ | ✓ | ✓ | $-0.125$ | $0$ | $2.79570$ | Modular form 69.2.e.b.25.1 | |||
2-69-23.2-c1-0-2 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.2 | $1.0$ | $1$ | ✓ | ✓ | $-0.0315$ | $0$ | $3.22966$ | Modular form 69.2.e.c.25.2 | |||
2-69-23.2-c1-0-3 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.2 | $1.0$ | $1$ | ✓ | ✓ | $0.261$ | $0$ | $3.47652$ | Modular form 69.2.e.c.25.1 | |||
2-69-23.3-c1-0-0 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.3 | $1.0$ | $1$ | ✓ | ✓ | $-0.343$ | $0$ | $2.06804$ | Modular form 69.2.e.b.49.1 | |||
2-69-23.3-c1-0-1 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.3 | $1.0$ | $1$ | ✓ | ✓ | $-0.264$ | $0$ | $2.11059$ | Modular form 69.2.e.c.49.2 | |||
2-69-23.3-c1-0-2 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.3 | $1.0$ | $1$ | ✓ | ✓ | $-0.0859$ | $0$ | $2.26496$ | Modular form 69.2.e.a.49.1 | |||
2-69-23.3-c1-0-3 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.3 | $1.0$ | $1$ | ✓ | ✓ | $0.198$ | $0$ | $3.38565$ | Modular form 69.2.e.c.49.1 | |||
2-69-23.4-c1-0-0 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.4 | $1.0$ | $1$ | ✓ | ✓ | $0.0931$ | $0$ | $2.68346$ | Modular form 69.2.e.c.4.2 | |||
2-69-23.4-c1-0-1 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.4 | $1.0$ | $1$ | ✓ | ✓ | $-0.206$ | $0$ | $2.85783$ | Modular form 69.2.e.b.4.1 | |||
2-69-23.4-c1-0-2 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.4 | $1.0$ | $1$ | ✓ | ✓ | $0.233$ | $0$ | $3.29938$ | Modular form 69.2.e.a.4.1 | |||
2-69-23.4-c1-0-3 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.4 | $1.0$ | $1$ | ✓ | ✓ | $-0.449$ | $0$ | $4.61822$ | Modular form 69.2.e.c.4.1 | |||
2-69-23.6-c1-0-0 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.6 | $1.0$ | $1$ | ✓ | ✓ | $0.449$ | $0$ | $0.666299$ | Modular form 69.2.e.c.52.1 | |||
2-69-23.6-c1-0-1 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.6 | $1.0$ | $1$ | ✓ | ✓ | $-0.233$ | $0$ | $1.98356$ | Modular form 69.2.e.a.52.1 | |||
2-69-23.6-c1-0-2 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.6 | $1.0$ | $1$ | ✓ | ✓ | $-0.0931$ | $0$ | $2.11753$ | Modular form 69.2.e.c.52.2 | |||
2-69-23.6-c1-0-3 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.6 | $1.0$ | $1$ | ✓ | ✓ | $0.206$ | $0$ | $4.03423$ | Modular form 69.2.e.b.52.1 | |||
2-69-23.8-c1-0-0 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.8 | $1.0$ | $1$ | ✓ | ✓ | $-0.198$ | $0$ | $2.16168$ | Modular form 69.2.e.c.31.1 | |||
2-69-23.8-c1-0-1 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.8 | $1.0$ | $1$ | ✓ | ✓ | $0.0859$ | $0$ | $2.94217$ | Modular form 69.2.e.a.31.1 | |||
2-69-23.8-c1-0-2 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.8 | $1.0$ | $1$ | ✓ | ✓ | $0.264$ | $0$ | $3.75935$ | Modular form 69.2.e.c.31.2 | |||
2-69-23.8-c1-0-3 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.8 | $1.0$ | $1$ | ✓ | ✓ | $0.343$ | $0$ | $4.50148$ | Modular form 69.2.e.b.31.1 | |||
2-69-23.9-c1-0-0 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.9 | $1.0$ | $1$ | ✓ | ✓ | $-0.263$ | $0$ | $1.22816$ | Modular form 69.2.e.a.55.1 | |||
2-69-23.9-c1-0-1 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.9 | $1.0$ | $1$ | ✓ | ✓ | $-0.156$ | $0$ | $1.76343$ | Modular form 69.2.e.b.55.1 | |||
2-69-23.9-c1-0-2 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.9 | $1.0$ | $1$ | ✓ | ✓ | $0.186$ | $0$ | $2.54658$ | Modular form 69.2.e.c.55.1 | |||
2-69-23.9-c1-0-3 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 23.9 | $1.0$ | $1$ | ✓ | ✓ | $0.0782$ | $0$ | $3.52415$ | Modular form 69.2.e.c.55.2 | |||
2-69-69.11-c1-0-0 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 69.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.236$ | $0$ | $2.08356$ | Modular form 69.2.g.a.11.5 | |||
2-69-69.11-c1-0-1 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 69.11 | $1.0$ | $1$ | ✓ | ✓ | $0.111$ | $0$ | $2.50086$ | Modular form 69.2.g.a.11.2 | |||
2-69-69.11-c1-0-2 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 69.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.136$ | $0$ | $2.93069$ | Modular form 69.2.g.a.11.6 | |||
2-69-69.11-c1-0-3 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 69.11 | $1.0$ | $1$ | ✓ | ✓ | $0.104$ | $0$ | $2.96120$ | Modular form 69.2.g.a.11.4 | |||
2-69-69.11-c1-0-4 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 69.11 | $1.0$ | $1$ | ✓ | ✓ | $0.0454$ | $0$ | $3.20904$ | Modular form 69.2.g.a.11.3 | |||
2-69-69.11-c1-0-5 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 69.11 | $1.0$ | $1$ | ✓ | ✓ | $0.375$ | $0$ | $3.83162$ | Modular form 69.2.g.a.11.1 | |||
2-69-69.14-c1-0-0 | $0.742$ | $0.550$ | $2$ | $3 \cdot 23$ | 69.14 | $1.0$ | $1$ | ✓ | ✓ | $-0.356$ | $0$ | $1.68025$ | Modular form 69.2.g.a.14.6 |