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Lowest zero Conductor Analytic conductor Central character Analytic rank
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
2-465-1.1-c1-0-0 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.937189$ Modular form 465.2.a.e.1.1
2-465-1.1-c1-0-1 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.995451$ Modular form 465.2.a.h.1.2
2-465-1.1-c1-0-10 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.81131$ Modular form 465.2.a.e.1.3
2-465-1.1-c1-0-11 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.95037$ Modular form 465.2.a.c.1.1
2-465-1.1-c1-0-12 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.99734$ Modular form 465.2.a.h.1.4
2-465-1.1-c1-0-13 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.11596$ Modular form 465.2.a.f.1.3
2-465-1.1-c1-0-14 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.17254$ Elliptic curve 465.a Modular form 465.2.a.a Modular form 465.2.a.a.1.1
2-465-1.1-c1-0-15 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.36609$ Modular form 465.2.a.g.1.3
2-465-1.1-c1-0-16 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.48347$ Elliptic curve 465.b Modular form 465.2.a.b Modular form 465.2.a.b.1.1
2-465-1.1-c1-0-17 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.55413$ Modular form 465.2.a.c.1.2
2-465-1.1-c1-0-18 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.89576$ Modular form 465.2.a.d.1.2
2-465-1.1-c1-0-2 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.03613$ Modular form 465.2.a.g.1.1
2-465-1.1-c1-0-3 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.07216$ Modular form 465.2.a.h.1.1
2-465-1.1-c1-0-4 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.09640$ Modular form 465.2.a.e.1.2
2-465-1.1-c1-0-5 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.27263$ Modular form 465.2.a.f.1.1
2-465-1.1-c1-0-6 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.41134$ Modular form 465.2.a.f.1.2
2-465-1.1-c1-0-7 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.61937$ Modular form 465.2.a.d.1.1
2-465-1.1-c1-0-8 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.63283$ Modular form 465.2.a.h.1.3
2-465-1.1-c1-0-9 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.76927$ Modular form 465.2.a.g.1.2
2-465-15.2-c1-0-0 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $0.476$ $0$ $0.0822551$ Modular form 465.2.k.b.32.4
2-465-15.2-c1-0-1 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.461$ $0$ $0.126262$ Modular form 465.2.k.a.32.13
2-465-15.2-c1-0-10 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.128$ $0$ $0.680419$ Modular form 465.2.k.b.32.20
2-465-15.2-c1-0-11 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.367$ $0$ $0.710333$ Modular form 465.2.k.b.32.2
2-465-15.2-c1-0-12 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $0.475$ $0$ $0.727146$ Modular form 465.2.k.a.32.10
2-465-15.2-c1-0-13 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.326$ $0$ $0.775512$ Modular form 465.2.k.b.32.7
2-465-15.2-c1-0-14 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.171$ $0$ $0.808963$ Modular form 465.2.k.a.32.25
2-465-15.2-c1-0-15 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.311$ $0$ $0.815674$ Modular form 465.2.k.a.32.17
2-465-15.2-c1-0-16 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.344$ $0$ $0.829354$ Modular form 465.2.k.b.32.15
2-465-15.2-c1-0-17 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.159$ $0$ $0.913521$ Modular form 465.2.k.a.32.15
2-465-15.2-c1-0-18 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.0233$ $0$ $0.927623$ Modular form 465.2.k.a.32.22
2-465-15.2-c1-0-19 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.102$ $0$ $0.941391$ Modular form 465.2.k.a.32.4
2-465-15.2-c1-0-2 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $0.393$ $0$ $0.132645$ Modular form 465.2.k.b.32.17
2-465-15.2-c1-0-20 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.497$ $0$ $0.953535$ Modular form 465.2.k.a.32.3
2-465-15.2-c1-0-21 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.243$ $0$ $0.995762$ Modular form 465.2.k.a.32.16
2-465-15.2-c1-0-22 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $0.176$ $0$ $1.16210$ Modular form 465.2.k.a.32.2
2-465-15.2-c1-0-23 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.196$ $0$ $1.19341$ Modular form 465.2.k.a.32.5
2-465-15.2-c1-0-24 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.184$ $0$ $1.22942$ Modular form 465.2.k.b.32.13
2-465-15.2-c1-0-25 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.173$ $0$ $1.23530$ Modular form 465.2.k.a.32.8
2-465-15.2-c1-0-26 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.173$ $0$ $1.28334$ Modular form 465.2.k.b.32.19
2-465-15.2-c1-0-27 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.00620$ $0$ $1.32635$ Modular form 465.2.k.a.32.26
2-465-15.2-c1-0-28 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.0335$ $0$ $1.34833$ Modular form 465.2.k.b.32.21
2-465-15.2-c1-0-29 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $0.122$ $0$ $1.37653$ Modular form 465.2.k.b.32.5
2-465-15.2-c1-0-3 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.483$ $0$ $0.191914$ Modular form 465.2.k.b.32.16
2-465-15.2-c1-0-30 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $0.112$ $0$ $1.39726$ Modular form 465.2.k.b.32.23
2-465-15.2-c1-0-31 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $0.0652$ $0$ $1.41544$ Modular form 465.2.k.b.32.14
2-465-15.2-c1-0-32 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $0.186$ $0$ $1.41684$ Modular form 465.2.k.a.32.21
2-465-15.2-c1-0-33 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.0782$ $0$ $1.41905$ Modular form 465.2.k.b.32.22
2-465-15.2-c1-0-34 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.0847$ $0$ $1.43737$ Modular form 465.2.k.b.32.3
2-465-15.2-c1-0-35 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $0.164$ $0$ $1.47281$ Modular form 465.2.k.a.32.14
2-465-15.2-c1-0-36 $1.92$ $3.71$ $2$ $3 \cdot 5 \cdot 31$ 15.2 $1.0$ $1$ ✓ ✓ $-0.247$ $0$ $1.48166$ Modular form 465.2.k.b.32.11
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