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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-1003-1003.1002-c0-0-0 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.1002 | $0.0$ | 0 | ✓ | ✓ | $0$ | $0$ | $1.26875$ | Modular form 1003.1.b.b.1002.1 | |||
2-1003-1003.1002-c0-0-1 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.1002 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.66082$ | Artin representation 2.1003.4t3.b Artin representation 2.1003.4t3.b.a Modular form 1003.1.b.a Modular form 1003.1.b.a.1002.1 | |
2-1003-1003.1002-c0-0-2 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.1002 | $0.0$ | 0 | ✓ | ✓ | $0$ | $0$ | $2.09153$ | Modular form 1003.1.b.b.1002.2 | |||
2-1003-1003.117-c0-0-0 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.117 | $0.0$ | 0 | ✓ | ✓ | $-0.237$ | $0$ | $0.308782$ | Modular form 1003.1.h.a.117.1 | |||
2-1003-1003.117-c0-0-1 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.117 | $0.0$ | 0 | ✓ | ✓ | $-0.237$ | $0$ | $1.11577$ | Modular form 1003.1.h.b.117.1 | |||
2-1003-1003.117-c0-0-2 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.117 | $0.0$ | 0 | ✓ | ✓ | $-0.237$ | $0$ | $1.49948$ | Modular form 1003.1.h.b.117.2 | |||
2-1003-1003.353-c0-0-0 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.353 | $0.0$ | 0 | ✓ | ✓ | $-0.144$ | $0$ | $0.237150$ | Modular form 1003.1.f.a.353.1 | |||
2-1003-1003.353-c0-0-1 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.353 | $0.0$ | 0 | ✓ | ✓ | $-0.144$ | $0$ | $0.951181$ | Modular form 1003.1.f.b.353.1 | |||
2-1003-1003.353-c0-0-2 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.353 | $0.0$ | 0 | ✓ | ✓ | $-0.144$ | $0$ | $1.48196$ | Modular form 1003.1.f.b.353.2 | |||
2-1003-1003.412-c0-0-0 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.412 | $0.0$ | 0 | ✓ | ✓ | $0.144$ | $0$ | $1.08229$ | Modular form 1003.1.f.a.412.1 | |||
2-1003-1003.412-c0-0-1 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.412 | $0.0$ | 0 | ✓ | ✓ | $0.144$ | $0$ | $1.66178$ | Modular form 1003.1.f.b.412.1 | |||
2-1003-1003.412-c0-0-2 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.412 | $0.0$ | 0 | ✓ | ✓ | $0.144$ | $0$ | $1.77192$ | Modular form 1003.1.f.b.412.2 | |||
2-1003-1003.648-c0-0-0 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.648 | $0.0$ | 0 | ✓ | ✓ | $-0.117$ | $0$ | $0.853724$ | Modular form 1003.1.h.b.648.1 | |||
2-1003-1003.648-c0-0-1 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.648 | $0.0$ | 0 | ✓ | ✓ | $-0.117$ | $0$ | $1.27293$ | Modular form 1003.1.h.b.648.2 | |||
2-1003-1003.648-c0-0-2 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.648 | $0.0$ | 0 | ✓ | ✓ | $-0.117$ | $0$ | $1.60653$ | Modular form 1003.1.h.a.648.1 | |||
2-1003-1003.825-c0-0-0 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.825 | $0.0$ | 0 | ✓ | ✓ | $0.117$ | $0$ | $0.969756$ | Modular form 1003.1.h.b.825.1 | |||
2-1003-1003.825-c0-0-1 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.825 | $0.0$ | 0 | ✓ | ✓ | $0.117$ | $0$ | $2.10852$ | Modular form 1003.1.h.a.825.1 | |||
2-1003-1003.825-c0-0-2 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.825 | $0.0$ | 0 | ✓ | ✓ | $0.117$ | $0$ | $2.14175$ | Modular form 1003.1.h.b.825.2 | |||
2-1003-1003.943-c0-0-0 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.943 | $0.0$ | 0 | ✓ | ✓ | $0.237$ | $0$ | $1.69710$ | Modular form 1003.1.h.a.943.1 | |||
2-1003-1003.943-c0-0-1 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.943 | $0.0$ | 0 | ✓ | ✓ | $0.237$ | $0$ | $2.00852$ | Modular form 1003.1.h.b.943.1 | |||
2-1003-1003.943-c0-0-2 | $0.707$ | $0.500$ | $2$ | $17 \cdot 59$ | 1003.943 | $0.0$ | 0 | ✓ | ✓ | $0.237$ | $0$ | $2.28833$ | Modular form 1003.1.h.b.943.2 | |||
2-1003-1.1-c1-0-0 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.171943$ | Modular form 1003.2.a.j.1.4 | ||
2-1003-1.1-c1-0-1 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.298329$ | Modular form 1003.2.a.j.1.8 | ||
2-1003-1.1-c1-0-10 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.721645$ | Modular form 1003.2.a.i.1.4 | ||
2-1003-1.1-c1-0-11 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.729500$ | Modular form 1003.2.a.j.1.7 | ||
2-1003-1.1-c1-0-12 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $0.814946$ | Modular form 1003.2.a.h.1.7 | ||
2-1003-1.1-c1-0-13 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.833550$ | Modular form 1003.2.a.j.1.6 | ||
2-1003-1.1-c1-0-14 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.886058$ | Modular form 1003.2.a.j.1.10 | ||
2-1003-1.1-c1-0-15 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $0.937326$ | Modular form 1003.2.a.g.1.1 | ||
2-1003-1.1-c1-0-16 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.953669$ | Modular form 1003.2.a.i.1.12 | ||
2-1003-1.1-c1-0-17 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.968479$ | Modular form 1003.2.a.j.1.11 | ||
2-1003-1.1-c1-0-18 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.05375$ | Modular form 1003.2.a.h.1.1 | ||
2-1003-1.1-c1-0-19 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.06951$ | Modular form 1003.2.a.h.1.5 | ||
2-1003-1.1-c1-0-2 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.349087$ | Modular form 1003.2.a.j.1.14 | ||
2-1003-1.1-c1-0-20 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.08751$ | Modular form 1003.2.a.i.1.3 | ||
2-1003-1.1-c1-0-21 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.12796$ | Modular form 1003.2.a.e.1.1 | ||
2-1003-1.1-c1-0-22 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.17813$ | Modular form 1003.2.a.i.1.8 | ||
2-1003-1.1-c1-0-23 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.17935$ | Modular form 1003.2.a.g.1.2 | ||
2-1003-1.1-c1-0-24 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.17969$ | Modular form 1003.2.a.i.1.2 | ||
2-1003-1.1-c1-0-25 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.19963$ | Modular form 1003.2.a.j.1.9 | ||
2-1003-1.1-c1-0-26 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.24279$ | Modular form 1003.2.a.j.1.15 | ||
2-1003-1.1-c1-0-27 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.29202$ | Modular form 1003.2.a.i.1.15 | ||
2-1003-1.1-c1-0-28 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.31989$ | Modular form 1003.2.a.g.1.5 | ||
2-1003-1.1-c1-0-29 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.32080$ | Modular form 1003.2.a.h.1.11 | ||
2-1003-1.1-c1-0-3 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.468671$ | Modular form 1003.2.a.i.1.6 | ||
2-1003-1.1-c1-0-30 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.32093$ | Modular form 1003.2.a.j.1.1 | ||
2-1003-1.1-c1-0-31 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.32502$ | Elliptic curve 1003.a Modular form 1003.2.a.a Modular form 1003.2.a.a.1.1 | |
2-1003-1.1-c1-0-32 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.32551$ | Modular form 1003.2.a.i.1.7 | ||
2-1003-1.1-c1-0-33 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.33758$ | Elliptic curve 1003.c Modular form 1003.2.a.c Modular form 1003.2.a.c.1.1 | |
2-1003-1.1-c1-0-34 | $2.83$ | $8.00$ | $2$ | $17 \cdot 59$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.38967$ | Modular form 1003.2.a.h.1.6 |