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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
2-56-56.13-c0-0-0 $0.167$ $0.0279$ $2$ $2^{3} \cdot 7$ 56.13 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $3.00942$ Artin representation 2.56.4t3.b Artin representation 2.56.4t3.b.a Modular form 56.1.h.a Modular form 56.1.h.a.13.1
2-56-1.1-c1-0-0 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $2.79183$ Elliptic curve 56.a Modular form 56.2.a.a Modular form 56.2.a.a.1.1
2-56-1.1-c1-0-1 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $3.14137$ Elliptic curve 56.b Modular form 56.2.a.b Modular form 56.2.a.b.1.1
2-56-56.19-c1-0-0 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.19 $1.0$ $1$ ✓ ✓ $-0.292$ $0$ $0.766057$ Modular form 56.2.m.a.19.1
2-56-56.19-c1-0-1 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.19 $1.0$ $1$ ✓ ✓ $-0.177$ $0$ $2.29130$ Modular form 56.2.m.a.19.6
2-56-56.19-c1-0-2 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.19 $1.0$ $1$ ✓ ✓ $-0.0190$ $0$ $2.52718$ Modular form 56.2.m.a.19.2
2-56-56.19-c1-0-3 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.19 $1.0$ $1$ ✓ ✓ $-0.134$ $0$ $2.81034$ Modular form 56.2.m.a.19.4
2-56-56.19-c1-0-4 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.19 $1.0$ $1$ ✓ ✓ $0.0870$ $0$ $3.64746$ Modular form 56.2.m.a.19.5
2-56-56.19-c1-0-5 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.19 $1.0$ $1$ ✓ ✓ $0.202$ $0$ $3.71851$ Modular form 56.2.m.a.19.3
2-56-56.27-c1-0-0 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.27 $1.0$ $1$ ✓ ✓ $-0.313$ $0$ $1.48752$ Modular form 56.2.e.b.27.4
2-56-56.27-c1-0-1 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.27 $1.0$ $1$ ✓ ✓ $-0.0633$ $0$ $1.89198$ Modular form 56.2.e.b.27.2
2-56-56.27-c1-0-2 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.27 $1.0$ $1$ ✓ ✓ $-0.172$ $0$ $2.47526$ Modular form 56.2.e.a.27.2
2-56-56.27-c1-0-3 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.27 $1.0$ $1$ ✓ ✓ $0.0633$ $0$ $3.02359$ Modular form 56.2.e.b.27.3
2-56-56.27-c1-0-4 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.27 $1.0$ $1$ ✓ ✓ $0.172$ $0$ $3.86980$ Modular form 56.2.e.a.27.1
2-56-56.27-c1-0-5 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.27 $1.0$ $1$ ✓ ✓ $0.313$ $0$ $4.12846$ Modular form 56.2.e.b.27.1
2-56-56.3-c1-0-0 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.3 $1.0$ $1$ ✓ ✓ $-0.202$ $0$ $2.15983$ Modular form 56.2.m.a.3.4
2-56-56.3-c1-0-1 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.3 $1.0$ $1$ ✓ ✓ $0.0190$ $0$ $2.38061$ Modular form 56.2.m.a.3.1
2-56-56.3-c1-0-2 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.3 $1.0$ $1$ ✓ ✓ $-0.0870$ $0$ $3.06280$ Modular form 56.2.m.a.3.6
2-56-56.3-c1-0-3 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.3 $1.0$ $1$ ✓ ✓ $0.292$ $0$ $3.42421$ Modular form 56.2.m.a.3.2
2-56-56.3-c1-0-4 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.3 $1.0$ $1$ ✓ ✓ $0.134$ $0$ $3.44036$ Modular form 56.2.m.a.3.3
2-56-56.3-c1-0-5 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.3 $1.0$ $1$ ✓ ✓ $0.177$ $0$ $4.31549$ Modular form 56.2.m.a.3.5
2-56-56.37-c1-0-0 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.37 $1.0$ $1$ ✓ ✓ $-0.352$ $0$ $1.32682$ Modular form 56.2.p.a.37.4
2-56-56.37-c1-0-1 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.37 $1.0$ $1$ ✓ ✓ $-0.0436$ $0$ $1.98943$ Modular form 56.2.p.a.37.1
2-56-56.37-c1-0-2 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.37 $1.0$ $1$ ✓ ✓ $-0.0167$ $0$ $2.96124$ Modular form 56.2.p.a.37.2
2-56-56.37-c1-0-3 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.37 $1.0$ $1$ ✓ ✓ $-0.121$ $0$ $2.96164$ Modular form 56.2.p.a.37.5
2-56-56.37-c1-0-4 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.37 $1.0$ $1$ ✓ ✓ $0.00628$ $0$ $3.23162$ Modular form 56.2.p.a.37.6
2-56-56.37-c1-0-5 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.37 $1.0$ $1$ ✓ ✓ $0.194$ $0$ $3.59544$ Modular form 56.2.p.a.37.3
2-56-56.53-c1-0-0 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.53 $1.0$ $1$ ✓ ✓ $-0.194$ $0$ $2.33722$ Modular form 56.2.p.a.53.3
2-56-56.53-c1-0-1 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.53 $1.0$ $1$ ✓ ✓ $0.0436$ $0$ $2.41995$ Modular form 56.2.p.a.53.1
2-56-56.53-c1-0-2 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.53 $1.0$ $1$ ✓ ✓ $0.0167$ $0$ $2.44957$ Modular form 56.2.p.a.53.2
2-56-56.53-c1-0-3 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.53 $1.0$ $1$ ✓ ✓ $-0.00628$ $0$ $3.34368$ Modular form 56.2.p.a.53.6
2-56-56.53-c1-0-4 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.53 $1.0$ $1$ ✓ ✓ $0.121$ $0$ $3.84261$ Modular form 56.2.p.a.53.5
2-56-56.53-c1-0-5 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 56.53 $1.0$ $1$ ✓ ✓ $0.352$ $0$ $4.50827$ Modular form 56.2.p.a.53.4
2-56-7.2-c1-0-0 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 7.2 $1.0$ $1$ ✓ ✓ $-0.0403$ $0$ $2.66025$ Modular form 56.2.i.b.9.1
2-56-7.2-c1-0-1 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 7.2 $1.0$ $1$ ✓ ✓ $0.186$ $0$ $3.87701$ Modular form 56.2.i.a.9.1
2-56-7.4-c1-0-0 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 7.4 $1.0$ $1$ ✓ ✓ $-0.186$ $0$ $1.76846$ Modular form 56.2.i.a.25.1
2-56-7.4-c1-0-1 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 7.4 $1.0$ $1$ ✓ ✓ $0.0403$ $0$ $3.10707$ Modular form 56.2.i.b.25.1
2-56-8.5-c1-0-0 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 8.5 $1.0$ $1$ ✓ ✓ $-0.209$ $0$ $1.62949$ Modular form 56.2.b.b.29.2
2-56-8.5-c1-0-1 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 8.5 $1.0$ $1$ ✓ ✓ $-0.250$ $0$ $2.05976$ Modular form 56.2.b.a.29.2
2-56-8.5-c1-0-2 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 8.5 $1.0$ $1$ ✓ ✓ $0.0292$ $0$ $2.95367$ Modular form 56.2.b.b.29.3
2-56-8.5-c1-0-3 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 8.5 $1.0$ $1$ ✓ ✓ $0.209$ $0$ $3.19000$ Modular form 56.2.b.b.29.1
2-56-8.5-c1-0-4 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 8.5 $1.0$ $1$ ✓ ✓ $-0.0292$ $0$ $3.41241$ Modular form 56.2.b.b.29.4
2-56-8.5-c1-0-5 $0.668$ $0.447$ $2$ $2^{3} \cdot 7$ 8.5 $1.0$ $1$ ✓ ✓ $0.250$ $0$ $4.29346$ Modular form 56.2.b.a.29.1
2-56-56.11-c2-0-0 $1.23$ $1.52$ $2$ $2^{3} \cdot 7$ 56.11 $2.0$ $2$ ✓ ✓ $-0.325$ $0$ $0.356611$ Modular form 56.3.k.c.11.3
2-56-56.11-c2-0-1 $1.23$ $1.52$ $2$ $2^{3} \cdot 7$ 56.11 $2.0$ $2$ ✓ ✓ $0.458$ $0$ $0.608102$ Modular form 56.3.k.d.11.2
2-56-56.11-c2-0-10 $1.23$ $1.52$ $2$ $2^{3} \cdot 7$ 56.11 $2.0$ $2$ ✓ ✓ $-0.00477$ $0$ $3.12550$ Modular form 56.3.k.c.11.5
2-56-56.11-c2-0-11 $1.23$ $1.52$ $2$ $2^{3} \cdot 7$ 56.11 $2.0$ $2$ ✓ ✓ $0.199$ $0$ $3.13308$ Modular form 56.3.k.b.11.1
2-56-56.11-c2-0-12 $1.23$ $1.52$ $2$ $2^{3} \cdot 7$ 56.11 $2.0$ $2$ ✓ ✓ $0.118$ $0$ $3.42345$ Modular form 56.3.k.c.11.6
2-56-56.11-c2-0-13 $1.23$ $1.52$ $2$ $2^{3} \cdot 7$ 56.11 $2.0$ $2$ ✓ ✓ $0.320$ $0$ $4.01135$ Modular form 56.3.k.d.11.3
2-56-56.11-c2-0-2 $1.23$ $1.52$ $2$ $2^{3} \cdot 7$ 56.11 $2.0$ $2$ ✓ ✓ $-0.300$ $0$ $0.753022$ Modular form 56.3.k.a.11.1
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