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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
2-805-805.114-c0-0-0 $0.633$ $0.401$ $2$ $5 \cdot 7 \cdot 23$ 805.114 $0.0$ 0 ✓ ✓ $-0.260$ $0$ $0.601996$ Artin representation 2.805.6t5.a.a Modular form 805.1.t.a.114.1
2-805-805.114-c0-0-1 $0.633$ $0.401$ $2$ $5 \cdot 7 \cdot 23$ 805.114 $0.0$ 0 ✓ ✓ $0.239$ $0$ $2.20143$ Artin representation 2.805.12t18.a.b Modular form 805.1.t.b.114.1
2-805-805.459-c0-0-0 $0.633$ $0.401$ $2$ $5 \cdot 7 \cdot 23$ 805.459 $0.0$ 0 ✓ ✓ $-0.239$ $0$ $1.03570$ Artin representation 2.805.12t18.a.a Modular form 805.1.t.b.459.1
2-805-805.459-c0-0-1 $0.633$ $0.401$ $2$ $5 \cdot 7 \cdot 23$ 805.459 $0.0$ 0 ✓ ✓ $0.260$ $0$ $2.02053$ Artin representation 2.805.6t5.a.b Modular form 805.1.t.a.459.1
2-805-1.1-c1-0-0 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.489762$ Modular form 805.2.a.h.1.2
2-805-1.1-c1-0-1 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.603862$ Modular form 805.2.a.h.1.3
2-805-1.1-c1-0-10 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.16379$ Modular form 805.2.a.k.1.1
2-805-1.1-c1-0-11 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.20793$ Modular form 805.2.a.f.1.2
2-805-1.1-c1-0-12 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.21479$ Modular form 805.2.a.j.1.1
2-805-1.1-c1-0-13 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.22284$ Modular form 805.2.a.h.1.1
2-805-1.1-c1-0-14 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.24917$ Modular form 805.2.a.e.1.1
2-805-1.1-c1-0-15 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.27761$ Modular form 805.2.a.i.1.2
2-805-1.1-c1-0-16 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.31539$ Modular form 805.2.a.l.1.1
2-805-1.1-c1-0-17 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.38254$ Modular form 805.2.a.e.1.2
2-805-1.1-c1-0-18 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.38983$ Modular form 805.2.a.k.1.3
2-805-1.1-c1-0-19 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.39750$ Modular form 805.2.a.l.1.3
2-805-1.1-c1-0-2 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $0.675887$ Elliptic curve 805.a Modular form 805.2.a.a Modular form 805.2.a.a.1.1
2-805-1.1-c1-0-20 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.43522$ Modular form 805.2.a.g.1.1
2-805-1.1-c1-0-21 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.51759$ Modular form 805.2.a.m.1.6
2-805-1.1-c1-0-22 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.52023$ Modular form 805.2.a.m.1.4
2-805-1.1-c1-0-23 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.52417$ Modular form 805.2.a.g.1.3
2-805-1.1-c1-0-24 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.53224$ Modular form 805.2.a.m.1.2
2-805-1.1-c1-0-25 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.67160$ Modular form 805.2.a.k.1.2
2-805-1.1-c1-0-26 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.69162$ Modular form 805.2.a.m.1.8
2-805-1.1-c1-0-27 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.73288$ Modular form 805.2.a.f.1.1
2-805-1.1-c1-0-28 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.82820$ Modular form 805.2.a.g.1.2
2-805-1.1-c1-0-29 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.95801$ Elliptic curve 805.d Modular form 805.2.a.d Modular form 805.2.a.d.1.1
2-805-1.1-c1-0-3 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.699049$ Modular form 805.2.a.m.1.3
2-805-1.1-c1-0-30 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.96511$ Modular form 805.2.a.j.1.4
2-805-1.1-c1-0-31 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.97028$ Modular form 805.2.a.i.1.4
2-805-1.1-c1-0-32 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.00241$ Modular form 805.2.a.l.1.2
2-805-1.1-c1-0-33 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.04003$ Modular form 805.2.a.j.1.3
2-805-1.1-c1-0-34 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.15920$ Modular form 805.2.a.l.1.5
2-805-1.1-c1-0-35 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.20957$ Modular form 805.2.a.k.1.4
2-805-1.1-c1-0-36 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.28866$ Modular form 805.2.a.h.1.4
2-805-1.1-c1-0-37 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.29524$ Modular form 805.2.a.m.1.7
2-805-1.1-c1-0-38 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.31584$ Modular form 805.2.a.l.1.4
2-805-1.1-c1-0-39 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.38236$ Modular form 805.2.a.k.1.5
2-805-1.1-c1-0-4 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $0.741036$ Elliptic curve 805.b Modular form 805.2.a.b Modular form 805.2.a.b.1.1
2-805-1.1-c1-0-40 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.45101$ Modular form 805.2.a.g.1.4
2-805-1.1-c1-0-41 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.54665$ Modular form 805.2.a.f.1.3
2-805-1.1-c1-0-42 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.55266$ Elliptic curve 805.c Modular form 805.2.a.c Modular form 805.2.a.c.1.1
2-805-1.1-c1-0-5 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.888113$ Modular form 805.2.a.j.1.2
2-805-1.1-c1-0-6 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.901040$ Modular form 805.2.a.i.1.1
2-805-1.1-c1-0-7 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.919143$ Modular form 805.2.a.m.1.5
2-805-1.1-c1-0-8 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.945360$ Modular form 805.2.a.i.1.3
2-805-1.1-c1-0-9 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.987964$ Modular form 805.2.a.m.1.1
2-805-115.102-c1-0-0 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 115.102 $1.0$ $1$ ✓ ✓ $0.234$ $0$ $0.0796729$ Modular form 805.2.bi.a.792.3
2-805-115.102-c1-0-1 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 115.102 $1.0$ $1$ ✓ ✓ $0.391$ $0$ $0.104313$ Modular form 805.2.bi.a.792.32
2-805-115.102-c1-0-10 $2.53$ $6.42$ $2$ $5 \cdot 7 \cdot 23$ 115.102 $1.0$ $1$ ✓ ✓ $-0.301$ $0$ $0.553912$ Modular form 805.2.bi.a.792.28
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