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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
2-828-828.275-c0-0-0 $0.642$ $0.413$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 828.275 $0.0$ 0 ✓ ✓ $-0.0277$ $0$ $0.751204$ Modular form 828.1.j.b.275.1
2-828-828.275-c0-0-1 $0.642$ $0.413$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 828.275 $0.0$ 0 ✓ ✓ $0.0277$ $0$ $1.22181$ Modular form 828.1.j.a.275.1
2-828-828.275-c0-0-2 $0.642$ $0.413$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 828.275 $0.0$ 0 ✓ ✓ $-0.305$ $0$ $1.32422$ Modular form 828.1.j.a.275.2
2-828-828.275-c0-0-3 $0.642$ $0.413$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 828.275 $0.0$ 0 ✓ ✓ $-0.0277$ $0$ $1.81297$ Modular form 828.1.j.b.275.2
2-828-828.275-c0-0-4 $0.642$ $0.413$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 828.275 $0.0$ 0 ✓ ✓ $-0.0277$ $0$ $1.84282$ Modular form 828.1.j.b.275.3
2-828-828.275-c0-0-5 $0.642$ $0.413$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 828.275 $0.0$ 0 ✓ ✓ $0.361$ $0$ $2.60402$ Modular form 828.1.j.a.275.3
2-828-828.551-c0-0-0 $0.642$ $0.413$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 828.551 $0.0$ 0 ✓ ✓ $-0.0277$ $0$ $1.01099$ Modular form 828.1.j.a.551.1
2-828-828.551-c0-0-1 $0.642$ $0.413$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 828.551 $0.0$ 0 ✓ ✓ $-0.361$ $0$ $1.20988$ Modular form 828.1.j.a.551.3
2-828-828.551-c0-0-2 $0.642$ $0.413$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 828.551 $0.0$ 0 ✓ ✓ $0.0277$ $0$ $1.30459$ Modular form 828.1.j.b.551.2
2-828-828.551-c0-0-3 $0.642$ $0.413$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 828.551 $0.0$ 0 ✓ ✓ $0.0277$ $0$ $1.37917$ Modular form 828.1.j.b.551.1
2-828-828.551-c0-0-4 $0.642$ $0.413$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 828.551 $0.0$ 0 ✓ ✓ $0.0277$ $0$ $2.00939$ Modular form 828.1.j.b.551.3
2-828-828.551-c0-0-5 $0.642$ $0.413$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 828.551 $0.0$ 0 ✓ ✓ $0.305$ $0$ $2.21670$ Modular form 828.1.j.a.551.2
2-828-1.1-c1-0-0 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.894475$ Modular form 828.2.a.f.1.1
2-828-1.1-c1-0-1 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.18096$ Elliptic curve 828.b Modular form 828.2.a.b Modular form 828.2.a.b.1.1
2-828-1.1-c1-0-2 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.35288$ Elliptic curve 828.d Modular form 828.2.a.d Modular form 828.2.a.d.1.1
2-828-1.1-c1-0-3 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.61119$ Modular form 828.2.a.f.1.2
2-828-1.1-c1-0-4 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.90143$ Modular form 828.2.a.e.1.1
2-828-1.1-c1-0-5 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.00360$ Elliptic curve 828.a Modular form 828.2.a.a Modular form 828.2.a.a.1.1
2-828-1.1-c1-0-6 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.01949$ Modular form 828.2.a.e.1.2
2-828-1.1-c1-0-7 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.20536$ Elliptic curve 828.c Modular form 828.2.a.c Modular form 828.2.a.c.1.1
2-828-12.11-c1-0-0 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.312$ $0$ $0.139044$ Modular form 828.2.c.e.323.8
2-828-12.11-c1-0-1 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $-0.278$ $0$ $0.299420$ Modular form 828.2.c.e.323.1
2-828-12.11-c1-0-10 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $-0.0511$ $0$ $0.760202$ Modular form 828.2.c.d.323.1
2-828-12.11-c1-0-11 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $-0.422$ $0$ $0.778339$ Modular form 828.2.c.e.323.11
2-828-12.11-c1-0-12 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.491$ $0$ $0.787824$ Modular form 828.2.c.f.323.8
2-828-12.11-c1-0-13 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $-0.381$ $0$ $0.813133$ Modular form 828.2.c.f.323.4
2-828-12.11-c1-0-14 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $-0.278$ $0$ $0.843906$ Modular form 828.2.c.e.323.2
2-828-12.11-c1-0-15 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $-0.272$ $0$ $0.849400$ Modular form 828.2.c.c.323.6
2-828-12.11-c1-0-16 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.0511$ $0$ $0.955974$ Modular form 828.2.c.c.323.3
2-828-12.11-c1-0-17 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $-0.272$ $0$ $0.958085$ Modular form 828.2.c.d.323.8
2-828-12.11-c1-0-18 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.152$ $0$ $0.993229$ Modular form 828.2.c.b.323.1
2-828-12.11-c1-0-19 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $-0.0511$ $0$ $0.996038$ Modular form 828.2.c.c.323.4
2-828-12.11-c1-0-2 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.491$ $0$ $0.319330$ Modular form 828.2.c.f.323.7
2-828-12.11-c1-0-20 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.0764$ $0$ $1.23224$ Modular form 828.2.c.c.323.2
2-828-12.11-c1-0-21 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $-0.152$ $0$ $1.24457$ Modular form 828.2.c.b.323.2
2-828-12.11-c1-0-22 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.272$ $0$ $1.26074$ Modular form 828.2.c.c.323.5
2-828-12.11-c1-0-23 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $-0.144$ $0$ $1.28053$ Modular form 828.2.c.d.323.6
2-828-12.11-c1-0-24 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.0511$ $0$ $1.28215$ Modular form 828.2.c.d.323.2
2-828-12.11-c1-0-25 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $-0.0826$ $0$ $1.30513$ Modular form 828.2.c.f.323.11
2-828-12.11-c1-0-26 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $-0.0826$ $0$ $1.40096$ Modular form 828.2.c.f.323.12
2-828-12.11-c1-0-27 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.381$ $0$ $1.42570$ Modular form 828.2.c.f.323.2
2-828-12.11-c1-0-28 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.278$ $0$ $1.45633$ Modular form 828.2.c.e.323.4
2-828-12.11-c1-0-29 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.144$ $0$ $1.47194$ Modular form 828.2.c.d.323.5
2-828-12.11-c1-0-3 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $-0.381$ $0$ $0.369415$ Modular form 828.2.c.f.323.3
2-828-12.11-c1-0-30 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.0764$ $0$ $1.57540$ Modular form 828.2.c.d.323.4
2-828-12.11-c1-0-31 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.0826$ $0$ $1.59948$ Modular form 828.2.c.f.323.9
2-828-12.11-c1-0-32 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.381$ $0$ $1.65039$ Modular form 828.2.c.f.323.1
2-828-12.11-c1-0-33 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.0826$ $0$ $1.65945$ Modular form 828.2.c.f.323.10
2-828-12.11-c1-0-34 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.278$ $0$ $1.69059$ Modular form 828.2.c.e.323.3
2-828-12.11-c1-0-35 $2.57$ $6.61$ $2$ $2^{2} \cdot 3^{2} \cdot 23$ 12.11 $1.0$ $1$ ✓ ✓ $0.144$ $0$ $1.92004$ Modular form 828.2.c.c.323.8
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