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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-756-21.11-c2-0-0 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $0.376$ | $0$ | $0.0426325$ | Modular form 756.3.bk.f.53.1 | |||
2-756-21.11-c2-0-1 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.353$ | $0$ | $0.232090$ | Modular form 756.3.bk.g.53.2 | |||
2-756-21.11-c2-0-10 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.113$ | $0$ | $0.862472$ | Modular form 756.3.bk.g.53.4 | |||
2-756-21.11-c2-0-11 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $0.0472$ | $0$ | $0.967101$ | Modular form 756.3.bk.f.53.2 | |||
2-756-21.11-c2-0-12 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $0.0234$ | $0$ | $1.18946$ | Modular form 756.3.bk.g.53.8 | |||
2-756-21.11-c2-0-13 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $0.257$ | $0$ | $1.20420$ | Modular form 756.3.bk.g.53.3 | |||
2-756-21.11-c2-0-14 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $0.0934$ | $0$ | $1.23178$ | Modular form 756.3.bk.d.53.2 | |||
2-756-21.11-c2-0-15 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $0.0472$ | $0$ | $1.27490$ | Modular form 756.3.bk.f.53.5 | |||
2-756-21.11-c2-0-16 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $0.146$ | $0$ | $1.44369$ | Modular form 756.3.bk.g.53.7 | |||
2-756-21.11-c2-0-17 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $0.366$ | $0$ | $1.66073$ | Modular form 756.3.bk.a.53.1 | |||
2-756-21.11-c2-0-18 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $0.386$ | $0$ | $1.69254$ | Modular form 756.3.bk.g.53.5 | |||
2-756-21.11-c2-0-19 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $0.376$ | $0$ | $1.79025$ | Modular form 756.3.bk.f.53.6 | |||
2-756-21.11-c2-0-2 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.310$ | $0$ | $0.235728$ | Modular form 756.3.bk.f.53.4 | |||
2-756-21.11-c2-0-20 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.489$ | $0$ | $2.32503$ | Modular form 756.3.bk.e.53.2 | |||
2-756-21.11-c2-0-3 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.476$ | $0$ | $0.302827$ | Modular form 756.3.bk.g.53.1 | |||
2-756-21.11-c2-0-4 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.310$ | $0$ | $0.324205$ | Modular form 756.3.bk.f.53.3 | |||
2-756-21.11-c2-0-5 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.300$ | $0$ | $0.445997$ | Modular form 756.3.bk.c.53.1 | |||
2-756-21.11-c2-0-6 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.242$ | $0$ | $0.481901$ | Modular form 756.3.bk.g.53.6 | |||
2-756-21.11-c2-0-7 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $-0.179$ | $0$ | $0.703928$ | Modular form 756.3.bk.b.53.1 | |||
2-756-21.11-c2-0-8 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $0.0934$ | $0$ | $0.735528$ | Modular form 756.3.bk.d.53.1 | |||
2-756-21.11-c2-0-9 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.11 | $2.0$ | $2$ | ✓ | ✓ | $0.0100$ | $0$ | $0.744337$ | Modular form 756.3.bk.e.53.1 | |||
2-756-21.2-c2-0-0 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $0.489$ | $0$ | $0.143256$ | Modular form 756.3.bk.e.485.2 | |||
2-756-21.2-c2-0-1 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.386$ | $0$ | $0.226875$ | Modular form 756.3.bk.g.485.5 | |||
2-756-21.2-c2-0-10 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.0234$ | $0$ | $1.20734$ | Modular form 756.3.bk.g.485.8 | |||
2-756-21.2-c2-0-11 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.0472$ | $0$ | $1.23293$ | Modular form 756.3.bk.f.485.5 | |||
2-756-21.2-c2-0-12 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $0.113$ | $0$ | $1.28697$ | Modular form 756.3.bk.g.485.4 | |||
2-756-21.2-c2-0-13 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $0.179$ | $0$ | $1.31057$ | Modular form 756.3.bk.b.485.1 | |||
2-756-21.2-c2-0-14 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $0.310$ | $0$ | $1.35026$ | Modular form 756.3.bk.f.485.4 | |||
2-756-21.2-c2-0-15 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $0.353$ | $0$ | $1.36047$ | Modular form 756.3.bk.g.485.2 | |||
2-756-21.2-c2-0-16 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $0.242$ | $0$ | $1.36995$ | Modular form 756.3.bk.g.485.6 | |||
2-756-21.2-c2-0-17 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $0.310$ | $0$ | $1.37991$ | Modular form 756.3.bk.f.485.3 | |||
2-756-21.2-c2-0-18 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $0.300$ | $0$ | $1.56330$ | Modular form 756.3.bk.c.485.1 | |||
2-756-21.2-c2-0-19 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $0.476$ | $0$ | $1.75177$ | Modular form 756.3.bk.g.485.1 | |||
2-756-21.2-c2-0-2 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.376$ | $0$ | $0.290952$ | Modular form 756.3.bk.f.485.6 | |||
2-756-21.2-c2-0-20 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.376$ | $0$ | $2.07399$ | Modular form 756.3.bk.f.485.1 | |||
2-756-21.2-c2-0-3 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.257$ | $0$ | $0.310206$ | Modular form 756.3.bk.g.485.3 | |||
2-756-21.2-c2-0-4 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.366$ | $0$ | $0.341862$ | Modular form 756.3.bk.a.485.1 | |||
2-756-21.2-c2-0-5 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.0934$ | $0$ | $0.367113$ | Modular form 756.3.bk.d.485.1 | |||
2-756-21.2-c2-0-6 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.0100$ | $0$ | $0.680618$ | Modular form 756.3.bk.e.485.1 | |||
2-756-21.2-c2-0-7 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.0472$ | $0$ | $0.739554$ | Modular form 756.3.bk.f.485.2 | |||
2-756-21.2-c2-0-8 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.146$ | $0$ | $0.990180$ | Modular form 756.3.bk.g.485.7 | |||
2-756-21.2-c2-0-9 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 21.2 | $2.0$ | $2$ | ✓ | ✓ | $-0.0934$ | $0$ | $1.00681$ | Modular form 756.3.bk.d.485.2 | |||
2-756-3.2-c2-0-0 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 3.2 | $2.0$ | $2$ | ✓ | ✓ | $0.5$ | $0$ | $0.226636$ | Modular form 756.3.c.b.701.4 | |||
2-756-3.2-c2-0-1 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 3.2 | $2.0$ | $2$ | ✓ | ✓ | $0.5$ | $0$ | $0.260536$ | Modular form 756.3.c.a.701.4 | |||
2-756-3.2-c2-0-10 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 3.2 | $2.0$ | $2$ | ✓ | ✓ | $0.250$ | $0$ | $1.30468$ | Modular form 756.3.c.c.701.4 | |||
2-756-3.2-c2-0-11 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 3.2 | $2.0$ | $2$ | ✓ | ✓ | $0.250$ | $0$ | $1.35846$ | Modular form 756.3.c.c.701.7 | |||
2-756-3.2-c2-0-12 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 3.2 | $2.0$ | $2$ | ✓ | ✓ | $0.250$ | $0$ | $1.42160$ | Modular form 756.3.c.c.701.6 | |||
2-756-3.2-c2-0-13 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 3.2 | $2.0$ | $2$ | ✓ | ✓ | $0.250$ | $0$ | $1.44500$ | Modular form 756.3.c.c.701.1 | |||
2-756-3.2-c2-0-14 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 3.2 | $2.0$ | $2$ | ✓ | ✓ | $0.5$ | $0$ | $1.94278$ | Modular form 756.3.c.b.701.1 | |||
2-756-3.2-c2-0-15 | $4.53$ | $20.5$ | $2$ | $2^{2} \cdot 3^{3} \cdot 7$ | 3.2 | $2.0$ | $2$ | ✓ | ✓ | $0.5$ | $0$ | $2.10179$ | Modular form 756.3.c.a.701.1 |