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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
Arithmetic
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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
2-465-465.134-c0-0-0 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.134 $0.0$ 0 ✓ ✓ $-0.133$ $0$ $0.979127$ Modular form 465.1.bl.a.134.1
2-465-465.134-c0-0-1 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.134 $0.0$ 0 ✓ ✓ $-0.133$ $0$ $2.32113$ Modular form 465.1.bl.b.134.1
2-465-465.14-c0-0-0 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.14 $0.0$ 0 ✓ ✓ $-0.0467$ $0$ $1.74195$ Modular form 465.1.bl.a.14.1
2-465-465.14-c0-0-1 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.14 $0.0$ 0 ✓ ✓ $-0.0467$ $0$ $1.83174$ Modular form 465.1.bl.b.14.1
2-465-465.149-c0-0-0 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.149 $0.0$ 0 ✓ ✓ $-0.0638$ $0$ $0.856109$ Artin representation 2.465.6t5.c.b Modular form 465.1.u.a.149.1
2-465-465.149-c0-0-1 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.149 $0.0$ 0 ✓ ✓ $-0.0638$ $0$ $2.17454$ Artin representation 2.465.12t18.a.a Modular form 465.1.u.b.149.1
2-465-465.164-c0-0-0 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.164 $0.0$ 0 ✓ ✓ $-0.399$ $0$ $1.54647$ Modular form 465.1.bl.a.164.1
2-465-465.164-c0-0-1 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.164 $0.0$ 0 ✓ ✓ $-0.399$ $0$ $3.47246$ Modular form 465.1.bl.b.164.1
2-465-465.194-c0-0-0 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.194 $0.0$ 0 ✓ ✓ $-0.456$ $0$ $1.33345$ Modular form 465.1.x.a.194.1
2-465-465.194-c0-0-1 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.194 $0.0$ 0 ✓ ✓ $-0.456$ $0$ $3.55971$ Modular form 465.1.x.b.194.1
2-465-465.224-c0-0-0 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.224 $0.0$ 0 ✓ ✓ $0.399$ $0$ $0.819544$ Modular form 465.1.bl.b.224.1
2-465-465.224-c0-0-1 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.224 $0.0$ 0 ✓ ✓ $0.399$ $0$ $2.40866$ Modular form 465.1.bl.a.224.1
2-465-465.284-c0-0-0 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.284 $0.0$ 0 ✓ ✓ $0.0638$ $0$ $1.37689$ Artin representation 2.465.6t5.c.a Modular form 465.1.u.a.284.1
2-465-465.284-c0-0-1 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.284 $0.0$ 0 ✓ ✓ $0.0638$ $0$ $2.38649$ Artin representation 2.465.12t18.a.b Modular form 465.1.u.b.284.1
2-465-465.299-c0-0-0 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.299 $0.0$ 0 ✓ ✓ $0.0467$ $0$ $1.84485$ Modular form 465.1.bl.a.299.1
2-465-465.299-c0-0-1 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.299 $0.0$ 0 ✓ ✓ $0.0467$ $0$ $2.25741$ Modular form 465.1.bl.b.299.1
2-465-465.314-c0-0-0 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.314 $0.0$ 0 ✓ ✓ $0.456$ $0$ $1.00003$ Modular form 465.1.x.b.314.1
2-465-465.314-c0-0-1 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.314 $0.0$ 0 ✓ ✓ $0.456$ $0$ $2.54558$ Modular form 465.1.x.a.314.1
2-465-465.329-c0-0-0 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.329 $0.0$ 0 ✓ ✓ $-0.0251$ $0$ $1.21024$ Modular form 465.1.bl.b.329.1
2-465-465.329-c0-0-1 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.329 $0.0$ 0 ✓ ✓ $-0.0251$ $0$ $2.19420$ Modular form 465.1.bl.a.329.1
2-465-465.359-c0-0-0 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.359 $0.0$ 0 ✓ ✓ $0.0251$ $0$ $1.68207$ Modular form 465.1.bl.a.359.1
2-465-465.359-c0-0-1 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.359 $0.0$ 0 ✓ ✓ $0.0251$ $0$ $1.91777$ Modular form 465.1.bl.b.359.1
2-465-465.374-c0-0-0 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.374 $0.0$ 0 ✓ ✓ $0.102$ $0$ $1.57290$ Modular form 465.1.x.a.374.1
2-465-465.374-c0-0-1 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.374 $0.0$ 0 ✓ ✓ $0.102$ $0$ $2.68029$ Modular form 465.1.x.b.374.1
2-465-465.419-c0-0-0 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.419 $0.0$ 0 ✓ ✓ $-0.102$ $0$ $1.24099$ Modular form 465.1.x.a.419.1
2-465-465.419-c0-0-1 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.419 $0.0$ 0 ✓ ✓ $-0.102$ $0$ $1.57845$ Modular form 465.1.x.b.419.1
2-465-465.59-c0-0-0 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.59 $0.0$ 0 ✓ ✓ $0.133$ $0$ $2.01598$ Modular form 465.1.bl.a.59.1
2-465-465.59-c0-0-1 $0.481$ $0.232$ $2$ $3 \cdot 5 \cdot 31$ 465.59 $0.0$ 0 ✓ ✓ $0.133$ $0$ $2.46879$ Modular form 465.1.bl.b.59.1
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
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