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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-117-13.5-c0-0-0 | $0.241$ | $0.0583$ | $2$ | $3^{2} \cdot 13$ | 13.5 | $0.0$ | 0 | ✓ | ✓ | $-0.0467$ | $0$ | $2.45453$ | Artin representation 2.117.8t17.b.a Modular form 117.1.j.a.109.1 | |||
2-117-13.8-c0-0-0 | $0.241$ | $0.0583$ | $2$ | $3^{2} \cdot 13$ | 13.8 | $0.0$ | 0 | ✓ | ✓ | $0.0467$ | $0$ | $3.10156$ | Artin representation 2.117.8t17.b.b Modular form 117.1.j.a.73.1 | |||
2-117-1.1-c1-0-0 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.51141$ | Modular form 117.2.a.b.1.1 | ||
2-117-1.1-c1-0-1 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.87345$ | Modular form 117.2.a.c.1.1 | ||
2-117-1.1-c1-0-2 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.69057$ | Modular form 117.2.a.b.1.2 | ||
2-117-1.1-c1-0-3 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $3.18381$ | Modular form 117.2.a.c.1.2 | ||
2-117-1.1-c1-0-4 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $3.25802$ | Elliptic curve 117.a Modular form 117.2.a.a Modular form 117.2.a.a.1.1 | |
2-117-117.103-c1-0-0 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $-0.496$ | $0$ | $0.498015$ | Modular form 117.2.t.c.103.4 | |||
2-117-117.103-c1-0-1 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $-0.0431$ | $0$ | $1.34912$ | Modular form 117.2.t.c.103.1 | |||
2-117-117.103-c1-0-10 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $0.164$ | $0$ | $3.37160$ | Modular form 117.2.t.c.103.8 | |||
2-117-117.103-c1-0-11 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $-0.483$ | $1$ | $3.80247$ | Modular form 117.2.t.a.103.1 | |||
2-117-117.103-c1-0-2 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $-0.0725$ | $0$ | $1.54224$ | Modular form 117.2.t.b.103.1 | |||
2-117-117.103-c1-0-3 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $-0.294$ | $0$ | $1.54697$ | Modular form 117.2.t.c.103.2 | |||
2-117-117.103-c1-0-4 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $-0.109$ | $0$ | $1.70541$ | Modular form 117.2.t.c.103.7 | |||
2-117-117.103-c1-0-5 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $-0.129$ | $0$ | $1.72295$ | Modular form 117.2.t.c.103.5 | |||
2-117-117.103-c1-0-6 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $0.122$ | $0$ | $2.21594$ | Modular form 117.2.t.c.103.3 | |||
2-117-117.103-c1-0-7 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $0.0687$ | $0$ | $2.72063$ | Modular form 117.2.t.c.103.6 | |||
2-117-117.103-c1-0-8 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $0.0861$ | $0$ | $3.27378$ | Modular form 117.2.t.c.103.9 | |||
2-117-117.103-c1-0-9 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $0.187$ | $0$ | $3.32331$ | Modular form 117.2.t.c.103.10 | |||
2-117-117.11-c1-0-0 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.11 | $1.0$ | $1$ | ✓ | ✓ | $0.299$ | $0$ | $0.211142$ | Modular form 117.2.x.a.11.1 | |||
2-117-117.11-c1-0-1 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.188$ | $0$ | $1.31935$ | Modular form 117.2.x.a.11.2 | |||
2-117-117.11-c1-0-10 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.11 | $1.0$ | $1$ | ✓ | ✓ | $0.244$ | $0$ | $3.52001$ | Modular form 117.2.x.a.11.9 | |||
2-117-117.11-c1-0-11 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.11 | $1.0$ | $1$ | ✓ | ✓ | $0.304$ | $0$ | $3.81745$ | Modular form 117.2.x.a.11.12 | |||
2-117-117.11-c1-0-2 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.175$ | $0$ | $1.45878$ | Modular form 117.2.x.a.11.8 | |||
2-117-117.11-c1-0-3 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.0773$ | $0$ | $1.56241$ | Modular form 117.2.x.a.11.7 | |||
2-117-117.11-c1-0-4 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.216$ | $0$ | $1.65969$ | Modular form 117.2.x.a.11.5 | |||
2-117-117.11-c1-0-5 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.11 | $1.0$ | $1$ | ✓ | ✓ | $-0.131$ | $0$ | $1.79837$ | Modular form 117.2.x.a.11.3 | |||
2-117-117.11-c1-0-6 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.11 | $1.0$ | $1$ | ✓ | ✓ | $0.0161$ | $0$ | $2.23270$ | Modular form 117.2.x.a.11.6 | |||
2-117-117.11-c1-0-7 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.11 | $1.0$ | $1$ | ✓ | ✓ | $0.0475$ | $0$ | $2.34199$ | Modular form 117.2.x.a.11.11 | |||
2-117-117.11-c1-0-8 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.11 | $1.0$ | $1$ | ✓ | ✓ | $0.415$ | $0$ | $3.07263$ | Modular form 117.2.x.a.11.4 | |||
2-117-117.11-c1-0-9 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.11 | $1.0$ | $1$ | ✓ | ✓ | $0.128$ | $0$ | $3.16527$ | Modular form 117.2.x.a.11.10 | |||
2-117-117.110-c1-0-0 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.110 | $1.0$ | $1$ | ✓ | ✓ | $-0.482$ | $0$ | $0.829423$ | Modular form 117.2.bc.a.110.4 | |||
2-117-117.110-c1-0-1 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.110 | $1.0$ | $1$ | ✓ | ✓ | $-0.497$ | $0$ | $1.23553$ | Modular form 117.2.bc.a.110.1 | |||
2-117-117.110-c1-0-10 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.110 | $1.0$ | $1$ | ✓ | ✓ | $0.458$ | $0$ | $3.91251$ | Modular form 117.2.bc.a.110.10 | |||
2-117-117.110-c1-0-11 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.110 | $1.0$ | $1$ | ✓ | ✓ | $0.366$ | $0$ | $4.03562$ | Modular form 117.2.bc.a.110.12 | |||
2-117-117.110-c1-0-2 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.110 | $1.0$ | $1$ | ✓ | ✓ | $-0.266$ | $0$ | $1.33208$ | Modular form 117.2.bc.a.110.3 | |||
2-117-117.110-c1-0-3 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.110 | $1.0$ | $1$ | ✓ | ✓ | $-0.0618$ | $0$ | $1.57862$ | Modular form 117.2.bc.a.110.9 | |||
2-117-117.110-c1-0-4 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.110 | $1.0$ | $1$ | ✓ | ✓ | $0.0135$ | $0$ | $1.96546$ | Modular form 117.2.bc.a.110.7 | |||
2-117-117.110-c1-0-5 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.110 | $1.0$ | $1$ | ✓ | ✓ | $-0.146$ | $0$ | $2.07567$ | Modular form 117.2.bc.a.110.6 | |||
2-117-117.110-c1-0-6 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.110 | $1.0$ | $1$ | ✓ | ✓ | $-0.0859$ | $0$ | $2.13410$ | Modular form 117.2.bc.a.110.5 | |||
2-117-117.110-c1-0-7 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.110 | $1.0$ | $1$ | ✓ | ✓ | $-0.174$ | $0$ | $2.27386$ | Modular form 117.2.bc.a.110.2 | |||
2-117-117.110-c1-0-8 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.110 | $1.0$ | $1$ | ✓ | ✓ | $0.223$ | $0$ | $2.92516$ | Modular form 117.2.bc.a.110.8 | |||
2-117-117.110-c1-0-9 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.110 | $1.0$ | $1$ | ✓ | ✓ | $0.318$ | $0$ | $3.13192$ | Modular form 117.2.bc.a.110.11 | |||
2-117-117.16-c1-0-0 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.16 | $1.0$ | $1$ | ✓ | ✓ | $-0.213$ | $0$ | $1.23550$ | Modular form 117.2.h.a.16.5 | |||
2-117-117.16-c1-0-1 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.16 | $1.0$ | $1$ | ✓ | ✓ | $-0.220$ | $0$ | $1.24406$ | Modular form 117.2.h.a.16.8 | |||
2-117-117.16-c1-0-10 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.16 | $1.0$ | $1$ | ✓ | ✓ | $0.0850$ | $0$ | $3.33954$ | Modular form 117.2.h.a.16.12 | |||
2-117-117.16-c1-0-11 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.16 | $1.0$ | $1$ | ✓ | ✓ | $0.275$ | $0$ | $3.36975$ | Modular form 117.2.h.a.16.6 | |||
2-117-117.16-c1-0-2 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.16 | $1.0$ | $1$ | ✓ | ✓ | $-0.124$ | $0$ | $1.40559$ | Modular form 117.2.h.a.16.1 | |||
2-117-117.16-c1-0-3 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.16 | $1.0$ | $1$ | ✓ | ✓ | $0.0624$ | $0$ | $1.41032$ | Modular form 117.2.h.a.16.3 | |||
2-117-117.16-c1-0-4 | $0.966$ | $0.934$ | $2$ | $3^{2} \cdot 13$ | 117.16 | $1.0$ | $1$ | ✓ | ✓ | $-0.0123$ | $0$ | $1.76065$ | Modular form 117.2.h.a.16.4 |