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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-503-503.502-c0-0-0 | $0.501$ | $0.251$ | $2$ | $503$ | 503.502 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $0.781828$ | Artin representation 2.503.7t2.a.a Modular form 503.1.b.b.502.1 | ||
2-503-503.502-c0-0-1 | $0.501$ | $0.251$ | $2$ | $503$ | 503.502 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $0.902790$ | Modular form 503.1.b.c.502.3 | ||
2-503-503.502-c0-0-2 | $0.501$ | $0.251$ | $2$ | $503$ | 503.502 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.29507$ | Artin representation 2.503.7t2.a.b Modular form 503.1.b.b.502.2 | ||
2-503-503.502-c0-0-3 | $0.501$ | $0.251$ | $2$ | $503$ | 503.502 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.44120$ | Modular form 503.1.b.c.502.1 | ||
2-503-503.502-c0-0-4 | $0.501$ | $0.251$ | $2$ | $503$ | 503.502 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.57752$ | Modular form 503.1.b.c.502.5 | ||
2-503-503.502-c0-0-5 | $0.501$ | $0.251$ | $2$ | $503$ | 503.502 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.60024$ | Modular form 503.1.b.c.502.2 | ||
2-503-503.502-c0-0-6 | $0.501$ | $0.251$ | $2$ | $503$ | 503.502 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $2.00806$ | Modular form 503.1.b.c.502.4 | ||
2-503-503.502-c0-0-7 | $0.501$ | $0.251$ | $2$ | $503$ | 503.502 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.44424$ | Artin representation 2.503.3t2.a Artin representation 2.503.3t2.a.a Modular form 503.1.b.a Modular form 503.1.b.a.502.1 | |
2-503-503.502-c0-0-8 | $0.501$ | $0.251$ | $2$ | $503$ | 503.502 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $2.47360$ | Modular form 503.1.b.c.502.6 | ||
2-503-503.502-c0-0-9 | $0.501$ | $0.251$ | $2$ | $503$ | 503.502 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $2.71366$ | Artin representation 2.503.7t2.a.c Modular form 503.1.b.b.502.3 | ||
2-503-1.1-c1-0-0 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.158295$ | Modular form 503.2.a.f.1.13 | ||
2-503-1.1-c1-0-1 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.545520$ | Modular form 503.2.a.f.1.3 | ||
2-503-1.1-c1-0-10 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.12528$ | Modular form 503.2.a.f.1.15 | ||
2-503-1.1-c1-0-11 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.17100$ | Modular form 503.2.a.d.1.1 | ||
2-503-1.1-c1-0-12 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.20661$ | Modular form 503.2.a.f.1.6 | ||
2-503-1.1-c1-0-13 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.21384$ | Modular form 503.2.a.f.1.9 | ||
2-503-1.1-c1-0-14 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.33770$ | Modular form 503.2.a.f.1.5 | ||
2-503-1.1-c1-0-15 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.35908$ | Modular form 503.2.a.f.1.12 | ||
2-503-1.1-c1-0-16 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.47409$ | Modular form 503.2.a.e.1.5 | ||
2-503-1.1-c1-0-17 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.49228$ | Modular form 503.2.a.e.1.3 | ||
2-503-1.1-c1-0-18 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.51059$ | Modular form 503.2.a.f.1.23 | ||
2-503-1.1-c1-0-19 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.52148$ | Modular form 503.2.a.e.1.1 | ||
2-503-1.1-c1-0-2 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.570477$ | Modular form 503.2.a.f.1.1 | ||
2-503-1.1-c1-0-20 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.52601$ | Modular form 503.2.a.f.1.8 | ||
2-503-1.1-c1-0-21 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.58280$ | Modular form 503.2.a.f.1.10 | ||
2-503-1.1-c1-0-22 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.60271$ | Modular form 503.2.a.f.1.2 | ||
2-503-1.1-c1-0-23 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.72525$ | Modular form 503.2.a.f.1.20 | ||
2-503-1.1-c1-0-24 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.77760$ | Elliptic curve 503.c Modular form 503.2.a.c Modular form 503.2.a.c.1.1 | |
2-503-1.1-c1-0-25 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.84760$ | Modular form 503.2.a.f.1.26 | ||
2-503-1.1-c1-0-26 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.90730$ | Modular form 503.2.a.f.1.19 | ||
2-503-1.1-c1-0-27 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.94242$ | Modular form 503.2.a.e.1.4 | ||
2-503-1.1-c1-0-28 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.03848$ | Modular form 503.2.a.f.1.16 | ||
2-503-1.1-c1-0-29 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.05669$ | Modular form 503.2.a.d.1.3 | ||
2-503-1.1-c1-0-3 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.617012$ | Modular form 503.2.a.f.1.7 | ||
2-503-1.1-c1-0-30 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.07683$ | Modular form 503.2.a.e.1.2 | ||
2-503-1.1-c1-0-31 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.08954$ | Modular form 503.2.a.f.1.21 | ||
2-503-1.1-c1-0-32 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.14541$ | Modular form 503.2.a.e.1.6 | ||
2-503-1.1-c1-0-33 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.21232$ | Modular form 503.2.a.f.1.18 | ||
2-503-1.1-c1-0-34 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.22408$ | Modular form 503.2.a.f.1.25 | ||
2-503-1.1-c1-0-35 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.29259$ | Modular form 503.2.a.e.1.9 | ||
2-503-1.1-c1-0-36 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.38032$ | Modular form 503.2.a.e.1.7 | ||
2-503-1.1-c1-0-37 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.47856$ | Modular form 503.2.a.f.1.24 | ||
2-503-1.1-c1-0-38 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.54634$ | Modular form 503.2.a.f.1.22 | ||
2-503-1.1-c1-0-39 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.54896$ | Modular form 503.2.a.e.1.8 | ||
2-503-1.1-c1-0-4 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.640064$ | Modular form 503.2.a.f.1.11 | ||
2-503-1.1-c1-0-40 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.79850$ | Elliptic curve 503.b Modular form 503.2.a.b Modular form 503.2.a.b.1.1 | |
2-503-1.1-c1-0-41 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.95781$ | Modular form 503.2.a.e.1.10 | ||
2-503-1.1-c1-0-5 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.752056$ | Modular form 503.2.a.f.1.17 | ||
2-503-1.1-c1-0-6 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.789855$ | Elliptic curve 503.a Modular form 503.2.a.a Modular form 503.2.a.a.1.1 | |
2-503-1.1-c1-0-7 | $2.00$ | $4.01$ | $2$ | $503$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.847188$ | Modular form 503.2.a.f.1.4 |