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Degree Bad \(p\) Root analytic conductor Motivic weight Spectral label
Root angle Primitive Origin Exclude origin Self-dual
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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
2-833-1.1-c1-0-0 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.166964$ Modular form 833.2.a.g.1.2
2-833-1.1-c1-0-1 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.396502$ Modular form 833.2.a.i.1.4
2-833-1.1-c1-0-10 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.811550$ Modular form 833.2.a.i.1.2
2-833-1.1-c1-0-11 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $0.959340$ Elliptic curve 833.a Modular form 833.2.a.a Modular form 833.2.a.a.1.1
2-833-1.1-c1-0-12 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.01760$ Modular form 833.2.a.i.1.1
2-833-1.1-c1-0-13 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.01868$ Modular form 833.2.a.k.1.1
2-833-1.1-c1-0-14 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.03359$ Modular form 833.2.a.h.1.2
2-833-1.1-c1-0-15 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.06733$ Modular form 833.2.a.k.1.6
2-833-1.1-c1-0-16 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.18406$ Modular form 833.2.a.i.1.3
2-833-1.1-c1-0-17 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.18805$ Modular form 833.2.a.j.1.3
2-833-1.1-c1-0-18 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.21233$ Modular form 833.2.a.d.1.3
2-833-1.1-c1-0-19 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.21633$ Modular form 833.2.a.j.1.4
2-833-1.1-c1-0-2 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.407352$ Modular form 833.2.a.h.1.1
2-833-1.1-c1-0-20 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.28840$ Modular form 833.2.a.i.1.6
2-833-1.1-c1-0-21 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.32544$ Modular form 833.2.a.k.1.3
2-833-1.1-c1-0-22 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.36264$ Modular form 833.2.a.k.1.4
2-833-1.1-c1-0-23 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.36549$ Modular form 833.2.a.b.1.1
2-833-1.1-c1-0-24 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.39801$ Modular form 833.2.a.j.1.1
2-833-1.1-c1-0-25 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.41712$ Modular form 833.2.a.e.1.1
2-833-1.1-c1-0-26 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.50740$ Modular form 833.2.a.f.1.3
2-833-1.1-c1-0-27 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.51916$ Modular form 833.2.a.h.1.4
2-833-1.1-c1-0-28 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.52552$ Modular form 833.2.a.g.1.1
2-833-1.1-c1-0-29 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.63349$ Modular form 833.2.a.b.1.2
2-833-1.1-c1-0-3 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.596352$ Modular form 833.2.a.k.1.2
2-833-1.1-c1-0-30 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.66949$ Modular form 833.2.a.e.1.3
2-833-1.1-c1-0-31 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.68515$ Modular form 833.2.a.h.1.7
2-833-1.1-c1-0-32 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.79122$ Modular form 833.2.a.j.1.2
2-833-1.1-c1-0-33 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.83622$ Modular form 833.2.a.k.1.7
2-833-1.1-c1-0-34 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.83946$ Modular form 833.2.a.k.1.8
2-833-1.1-c1-0-35 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.84709$ Modular form 833.2.a.d.1.2
2-833-1.1-c1-0-36 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.86127$ Modular form 833.2.a.c.1.2
2-833-1.1-c1-0-37 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.86927$ Modular form 833.2.a.c.1.1
2-833-1.1-c1-0-38 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.88762$ Modular form 833.2.a.g.1.4
2-833-1.1-c1-0-39 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.90185$ Modular form 833.2.a.d.1.1
2-833-1.1-c1-0-4 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.612108$ Modular form 833.2.a.f.1.2
2-833-1.1-c1-0-40 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.93294$ Modular form 833.2.a.e.1.2
2-833-1.1-c1-0-41 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.97438$ Modular form 833.2.a.h.1.6
2-833-1.1-c1-0-42 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.02253$ Modular form 833.2.a.j.1.7
2-833-1.1-c1-0-43 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.12316$ Modular form 833.2.a.i.1.5
2-833-1.1-c1-0-44 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.12871$ Modular form 833.2.a.g.1.5
2-833-1.1-c1-0-45 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.16189$ Modular form 833.2.a.i.1.7
2-833-1.1-c1-0-46 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.16748$ Modular form 833.2.a.j.1.5
2-833-1.1-c1-0-47 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.18307$ Modular form 833.2.a.f.1.4
2-833-1.1-c1-0-48 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.21415$ Modular form 833.2.a.c.1.3
2-833-1.1-c1-0-49 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.38964$ Modular form 833.2.a.d.1.4
2-833-1.1-c1-0-5 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.669314$ Modular form 833.2.a.k.1.5
2-833-1.1-c1-0-50 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.39499$ Modular form 833.2.a.j.1.6
2-833-1.1-c1-0-51 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.46867$ Modular form 833.2.a.j.1.8
2-833-1.1-c1-0-52 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.53883$ Modular form 833.2.a.b.1.3
2-833-1.1-c1-0-53 $2.57$ $6.65$ $2$ $7^{2} \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.62521$ Modular form 833.2.a.e.1.4
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