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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-448-112.13-c0-0-0 | $0.472$ | $0.223$ | $2$ | $2^{6} \cdot 7$ | 112.13 | $0.0$ | 0 | ✓ | ✓ | $-0.0625$ | $0$ | $1.51577$ | Artin representation 2.448.8t17.b.b Modular form 448.1.l.a.209.1 | |||
2-448-112.69-c0-0-0 | $0.472$ | $0.223$ | $2$ | $2^{6} \cdot 7$ | 112.69 | $0.0$ | 0 | ✓ | ✓ | $0.0625$ | $0$ | $1.98122$ | Artin representation 2.448.8t17.b.a Modular form 448.1.l.a.433.1 | |||
2-448-28.11-c0-0-0 | $0.472$ | $0.223$ | $2$ | $2^{6} \cdot 7$ | 28.11 | $0.0$ | 0 | ✓ | ✓ | $-0.0732$ | $0$ | $1.25842$ | Artin representation 2.448.16t60.a.a Modular form 448.1.r.a.319.1 | |||
2-448-28.11-c0-0-1 | $0.472$ | $0.223$ | $2$ | $2^{6} \cdot 7$ | 28.11 | $0.0$ | 0 | ✓ | ✓ | $-0.0732$ | $0$ | $2.02994$ | Artin representation 2.448.16t60.a.d Modular form 448.1.r.a.319.2 | |||
2-448-28.23-c0-0-0 | $0.472$ | $0.223$ | $2$ | $2^{6} \cdot 7$ | 28.23 | $0.0$ | 0 | ✓ | ✓ | $0.0732$ | $0$ | $1.86513$ | Artin representation 2.448.16t60.a.b Modular form 448.1.r.a.191.1 | |||
2-448-28.23-c0-0-1 | $0.472$ | $0.223$ | $2$ | $2^{6} \cdot 7$ | 28.23 | $0.0$ | 0 | ✓ | ✓ | $0.0732$ | $0$ | $2.27619$ | Artin representation 2.448.16t60.a.c Modular form 448.1.r.a.191.2 | |||
2-448-448.125-c0-0-0 | $0.472$ | $0.223$ | $2$ | $2^{6} \cdot 7$ | 448.125 | $0.0$ | 0 | ✓ | ✓ | $0.203$ | $0$ | $1.80633$ | Modular form 448.1.bf.a.125.1 | |||
2-448-448.13-c0-0-0 | $0.472$ | $0.223$ | $2$ | $2^{6} \cdot 7$ | 448.13 | $0.0$ | 0 | ✓ | ✓ | $0.0781$ | $0$ | $1.89517$ | Modular form 448.1.bf.a.13.1 | |||
2-448-448.181-c0-0-0 | $0.472$ | $0.223$ | $2$ | $2^{6} \cdot 7$ | 448.181 | $0.0$ | 0 | ✓ | ✓ | $0.296$ | $0$ | $2.51143$ | Modular form 448.1.bf.a.181.1 | |||
2-448-448.237-c0-0-0 | $0.472$ | $0.223$ | $2$ | $2^{6} \cdot 7$ | 448.237 | $0.0$ | 0 | ✓ | ✓ | $0.0781$ | $0$ | $2.30170$ | Modular form 448.1.bf.a.237.1 | |||
2-448-448.293-c0-0-0 | $0.472$ | $0.223$ | $2$ | $2^{6} \cdot 7$ | 448.293 | $0.0$ | 0 | ✓ | ✓ | $-0.0781$ | $0$ | $2.21115$ | Modular form 448.1.bf.a.293.1 | |||
2-448-448.349-c0-0-0 | $0.472$ | $0.223$ | $2$ | $2^{6} \cdot 7$ | 448.349 | $0.0$ | 0 | ✓ | ✓ | $-0.296$ | $0$ | $1.27416$ | Modular form 448.1.bf.a.349.1 | |||
2-448-448.405-c0-0-0 | $0.472$ | $0.223$ | $2$ | $2^{6} \cdot 7$ | 448.405 | $0.0$ | 0 | ✓ | ✓ | $-0.203$ | $0$ | $1.37792$ | Modular form 448.1.bf.a.405.1 | |||
2-448-448.69-c0-0-0 | $0.472$ | $0.223$ | $2$ | $2^{6} \cdot 7$ | 448.69 | $0.0$ | 0 | ✓ | ✓ | $-0.0781$ | $0$ | $1.12583$ | Modular form 448.1.bf.a.69.1 | |||
2-448-1.1-c1-0-0 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.976012$ | Modular form 448.2.a.j.1.1 | ||
2-448-1.1-c1-0-1 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.00403$ | Elliptic curve 448.a Modular form 448.2.a.a Modular form 448.2.a.a.1.1 | |
2-448-1.1-c1-0-10 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.40145$ | Elliptic curve 448.e Modular form 448.2.a.e Modular form 448.2.a.e.1.1 | |
2-448-1.1-c1-0-11 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.67244$ | Modular form 448.2.a.i.1.2 | ||
2-448-1.1-c1-0-2 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.29582$ | Elliptic curve 448.c Modular form 448.2.a.c Modular form 448.2.a.c.1.1 | |
2-448-1.1-c1-0-3 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.60688$ | Elliptic curve 448.f Modular form 448.2.a.f Modular form 448.2.a.f.1.1 | |
2-448-1.1-c1-0-4 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.64950$ | Elliptic curve 448.g Modular form 448.2.a.g Modular form 448.2.a.g.1.1 | |
2-448-1.1-c1-0-5 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.87684$ | Modular form 448.2.a.i.1.1 | ||
2-448-1.1-c1-0-6 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.94068$ | Elliptic curve 448.h Modular form 448.2.a.h Modular form 448.2.a.h.1.1 | |
2-448-1.1-c1-0-7 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.05991$ | Elliptic curve 448.b Modular form 448.2.a.b Modular form 448.2.a.b.1.1 | |
2-448-1.1-c1-0-8 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.07760$ | Modular form 448.2.a.j.1.2 | ||
2-448-1.1-c1-0-9 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.35911$ | Elliptic curve 448.d Modular form 448.2.a.d Modular form 448.2.a.d.1.1 | |
2-448-112.109-c1-0-0 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.109 | $1.0$ | $1$ | ✓ | ✓ | $-0.392$ | $0$ | $0.242406$ | Modular form 448.2.ba.c.81.8 | |||
2-448-112.109-c1-0-1 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.109 | $1.0$ | $1$ | ✓ | ✓ | $-0.332$ | $0$ | $0.374536$ | Modular form 448.2.ba.a.81.1 | |||
2-448-112.109-c1-0-10 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.109 | $1.0$ | $1$ | ✓ | ✓ | $0.0707$ | $0$ | $2.00537$ | Modular form 448.2.ba.c.81.9 | |||
2-448-112.109-c1-0-11 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.109 | $1.0$ | $1$ | ✓ | ✓ | $0.0656$ | $0$ | $2.03911$ | Modular form 448.2.ba.c.81.11 | |||
2-448-112.109-c1-0-12 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.109 | $1.0$ | $1$ | ✓ | ✓ | $0.444$ | $0$ | $2.08568$ | Modular form 448.2.ba.c.81.4 | |||
2-448-112.109-c1-0-13 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.109 | $1.0$ | $1$ | ✓ | ✓ | $0.333$ | $0$ | $2.43992$ | Modular form 448.2.ba.b.81.1 | |||
2-448-112.109-c1-0-2 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.109 | $1.0$ | $1$ | ✓ | ✓ | $-0.329$ | $0$ | $0.414752$ | Modular form 448.2.ba.c.81.1 | |||
2-448-112.109-c1-0-3 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.109 | $1.0$ | $1$ | ✓ | ✓ | $0.0652$ | $0$ | $0.897578$ | Modular form 448.2.ba.c.81.2 | |||
2-448-112.109-c1-0-4 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.109 | $1.0$ | $1$ | ✓ | ✓ | $-0.188$ | $0$ | $0.913751$ | Modular form 448.2.ba.c.81.7 | |||
2-448-112.109-c1-0-5 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.109 | $1.0$ | $1$ | ✓ | ✓ | $-0.113$ | $0$ | $1.27265$ | Modular form 448.2.ba.c.81.6 | |||
2-448-112.109-c1-0-6 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.109 | $1.0$ | $1$ | ✓ | ✓ | $0.166$ | $0$ | $1.48047$ | Modular form 448.2.ba.c.81.3 | |||
2-448-112.109-c1-0-7 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.109 | $1.0$ | $1$ | ✓ | ✓ | $-0.00401$ | $0$ | $1.66205$ | Modular form 448.2.ba.c.81.10 | |||
2-448-112.109-c1-0-8 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.109 | $1.0$ | $1$ | ✓ | ✓ | $0.285$ | $0$ | $1.76568$ | Modular form 448.2.ba.c.81.5 | |||
2-448-112.109-c1-0-9 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.109 | $1.0$ | $1$ | ✓ | ✓ | $0.0720$ | $0$ | $1.88977$ | Modular form 448.2.ba.c.81.12 | |||
2-448-112.19-c1-0-0 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.19 | $1.0$ | $1$ | ✓ | ✓ | $-0.378$ | $0$ | $0.381336$ | Modular form 448.2.z.a.47.6 | |||
2-448-112.19-c1-0-1 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.19 | $1.0$ | $1$ | ✓ | ✓ | $-0.382$ | $0$ | $0.558559$ | Modular form 448.2.z.a.47.4 | |||
2-448-112.19-c1-0-10 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.19 | $1.0$ | $1$ | ✓ | ✓ | $0.169$ | $0$ | $1.99250$ | Modular form 448.2.z.a.47.11 | |||
2-448-112.19-c1-0-11 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.19 | $1.0$ | $1$ | ✓ | ✓ | $0.275$ | $0$ | $2.14923$ | Modular form 448.2.z.a.47.13 | |||
2-448-112.19-c1-0-12 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.19 | $1.0$ | $1$ | ✓ | ✓ | $0.346$ | $0$ | $2.42853$ | Modular form 448.2.z.a.47.14 | |||
2-448-112.19-c1-0-13 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.19 | $1.0$ | $1$ | ✓ | ✓ | $-0.439$ | $0$ | $2.96715$ | Modular form 448.2.z.a.47.12 | |||
2-448-112.19-c1-0-2 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.19 | $1.0$ | $1$ | ✓ | ✓ | $-0.437$ | $0$ | $0.618848$ | Modular form 448.2.z.a.47.2 | |||
2-448-112.19-c1-0-3 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.19 | $1.0$ | $1$ | ✓ | ✓ | $-0.129$ | $0$ | $0.868285$ | Modular form 448.2.z.a.47.10 | |||
2-448-112.19-c1-0-4 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.19 | $1.0$ | $1$ | ✓ | ✓ | $-0.0772$ | $0$ | $1.36497$ | Modular form 448.2.z.a.47.5 | |||
2-448-112.19-c1-0-5 | $1.89$ | $3.57$ | $2$ | $2^{6} \cdot 7$ | 112.19 | $1.0$ | $1$ | ✓ | ✓ | $0.0999$ | $0$ | $1.39343$ | Modular form 448.2.z.a.47.8 |