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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-507-1.1-c1-0-0 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.700315$ | Modular form 507.2.a.f.1.1 | ||
2-507-1.1-c1-0-1 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.701280$ | Modular form 507.2.a.e.1.1 | ||
2-507-1.1-c1-0-10 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.50232$ | Modular form 507.2.a.f.1.2 | ||
2-507-1.1-c1-0-11 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.67584$ | Modular form 507.2.a.i.1.1 | ||
2-507-1.1-c1-0-12 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.68781$ | Elliptic curve 507.a Modular form 507.2.a.a Modular form 507.2.a.a.1.1 | |
2-507-1.1-c1-0-13 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.75898$ | Elliptic curve 507.b Modular form 507.2.a.b Modular form 507.2.a.b.1.1 | |
2-507-1.1-c1-0-14 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.85376$ | Modular form 507.2.a.j.1.1 | ||
2-507-1.1-c1-0-15 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.87187$ | Modular form 507.2.a.l.1.3 | ||
2-507-1.1-c1-0-16 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.93481$ | Modular form 507.2.a.d.1.2 | ||
2-507-1.1-c1-0-17 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.96556$ | Modular form 507.2.a.l.1.2 | ||
2-507-1.1-c1-0-18 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.98368$ | Modular form 507.2.a.k.1.3 | ||
2-507-1.1-c1-0-19 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.02541$ | Modular form 507.2.a.h.1.2 | ||
2-507-1.1-c1-0-2 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.877085$ | Modular form 507.2.a.g.1.1 | ||
2-507-1.1-c1-0-20 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.24268$ | Modular form 507.2.a.j.1.2 | ||
2-507-1.1-c1-0-21 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.24384$ | Modular form 507.2.a.g.1.2 | ||
2-507-1.1-c1-0-22 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.32792$ | Elliptic curve 507.c Modular form 507.2.a.c Modular form 507.2.a.c.1.1 | |
2-507-1.1-c1-0-23 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.91060$ | Modular form 507.2.a.j.1.3 | ||
2-507-1.1-c1-0-24 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.95144$ | Modular form 507.2.a.i.1.3 | ||
2-507-1.1-c1-0-3 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.19333$ | Modular form 507.2.a.e.1.2 | ||
2-507-1.1-c1-0-4 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.21501$ | Modular form 507.2.a.d.1.1 | ||
2-507-1.1-c1-0-5 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.25195$ | Modular form 507.2.a.l.1.1 | ||
2-507-1.1-c1-0-6 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.28541$ | Modular form 507.2.a.h.1.1 | ||
2-507-1.1-c1-0-7 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.36618$ | Modular form 507.2.a.k.1.2 | ||
2-507-1.1-c1-0-8 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.43034$ | Modular form 507.2.a.i.1.2 | ||
2-507-1.1-c1-0-9 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.48266$ | Modular form 507.2.a.k.1.1 | ||
2-507-13.10-c1-0-0 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $0.373$ | $0$ | $0.159608$ | Modular form 507.2.j.d.361.1 | |||
2-507-13.10-c1-0-1 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $-0.283$ | $0$ | $0.325046$ | Modular form 507.2.j.h.361.1 | |||
2-507-13.10-c1-0-10 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $-0.0531$ | $0$ | $0.960492$ | Modular form 507.2.j.h.361.3 | |||
2-507-13.10-c1-0-11 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $-0.126$ | $0$ | $1.15376$ | Modular form 507.2.j.d.361.2 | |||
2-507-13.10-c1-0-12 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $-0.154$ | $0$ | $1.21258$ | Modular form 507.2.j.e.361.1 | |||
2-507-13.10-c1-0-13 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $-0.0426$ | $0$ | $1.21799$ | Modular form 507.2.j.a.361.1 | |||
2-507-13.10-c1-0-14 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $0.158$ | $0$ | $1.24987$ | Modular form 507.2.j.f.361.1 | |||
2-507-13.10-c1-0-15 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $-0.0426$ | $0$ | $1.39413$ | Modular form 507.2.j.c.361.1 | |||
2-507-13.10-c1-0-16 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $0.0834$ | $0$ | $1.47016$ | Modular form 507.2.j.h.361.6 | |||
2-507-13.10-c1-0-17 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $0.158$ | $0$ | $1.51576$ | Modular form 507.2.j.f.361.3 | |||
2-507-13.10-c1-0-18 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $0.0134$ | $0$ | $1.58161$ | Modular form 507.2.j.i.361.5 | |||
2-507-13.10-c1-0-19 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $0.345$ | $0$ | $1.58678$ | Modular form 507.2.j.f.361.2 | |||
2-507-13.10-c1-0-2 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $-0.268$ | $0$ | $0.513568$ | Modular form 507.2.j.h.361.4 | |||
2-507-13.10-c1-0-20 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $0.174$ | $0$ | $1.67828$ | Modular form 507.2.j.i.361.2 | |||
2-507-13.10-c1-0-21 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $0.373$ | $0$ | $1.90694$ | Modular form 507.2.j.g.361.2 | |||
2-507-13.10-c1-0-22 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $0.231$ | $0$ | $2.36186$ | Modular form 507.2.j.i.361.4 | |||
2-507-13.10-c1-0-23 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $0.216$ | $0$ | $2.55823$ | Modular form 507.2.j.i.361.6 | |||
2-507-13.10-c1-0-24 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $0.345$ | $0$ | $2.70342$ | Modular form 507.2.j.f.361.4 | |||
2-507-13.10-c1-0-25 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $0.373$ | $0$ | $2.78484$ | Modular form 507.2.j.g.361.4 | |||
2-507-13.10-c1-0-26 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $-0.486$ | $0$ | $2.85119$ | Modular form 507.2.j.h.361.5 | |||
2-507-13.10-c1-0-3 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $-0.341$ | $0$ | $0.584276$ | Modular form 507.2.j.e.361.2 | |||
2-507-13.10-c1-0-4 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $0.446$ | $0$ | $0.617782$ | Modular form 507.2.j.i.361.3 | |||
2-507-13.10-c1-0-5 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $-0.416$ | $0$ | $0.644923$ | Modular form 507.2.j.i.361.1 | |||
2-507-13.10-c1-0-6 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $-0.325$ | $0$ | $0.779195$ | Modular form 507.2.j.h.361.2 | |||
2-507-13.10-c1-0-7 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 13.10 | $1.0$ | $1$ | ✓ | ✓ | $-0.126$ | $0$ | $0.857135$ | Modular form 507.2.j.g.361.3 |