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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
2-21e2-147.107-c2-0-0 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.475$ $0$ $0.165487$ Modular form 441.3.bf.a.107.16
2-21e2-147.107-c2-0-1 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.449$ $0$ $0.178663$ Modular form 441.3.bf.a.107.20
2-21e2-147.107-c2-0-10 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.220$ $0$ $0.602169$ Modular form 441.3.bf.a.107.23
2-21e2-147.107-c2-0-11 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.211$ $0$ $0.671611$ Modular form 441.3.bf.a.107.26
2-21e2-147.107-c2-0-12 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.0665$ $0$ $0.729648$ Modular form 441.3.bf.a.107.9
2-21e2-147.107-c2-0-13 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.205$ $0$ $0.745595$ Modular form 441.3.bf.a.107.22
2-21e2-147.107-c2-0-14 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.329$ $0$ $0.761129$ Modular form 441.3.bf.a.107.4
2-21e2-147.107-c2-0-15 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.147$ $0$ $0.865782$ Modular form 441.3.bf.a.107.11
2-21e2-147.107-c2-0-16 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.143$ $0$ $0.870777$ Modular form 441.3.bf.a.107.25
2-21e2-147.107-c2-0-17 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.246$ $0$ $0.903923$ Modular form 441.3.bf.a.107.19
2-21e2-147.107-c2-0-18 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.160$ $0$ $1.07217$ Modular form 441.3.bf.a.107.14
2-21e2-147.107-c2-0-19 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.117$ $0$ $1.29475$ Modular form 441.3.bf.a.107.32
2-21e2-147.107-c2-0-2 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.357$ $0$ $0.217719$ Modular form 441.3.bf.a.107.15
2-21e2-147.107-c2-0-20 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.132$ $0$ $1.32290$ Modular form 441.3.bf.a.107.1
2-21e2-147.107-c2-0-21 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.237$ $0$ $1.37435$ Modular form 441.3.bf.a.107.3
2-21e2-147.107-c2-0-22 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.158$ $0$ $1.42525$ Modular form 441.3.bf.a.107.8
2-21e2-147.107-c2-0-23 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.113$ $0$ $1.44418$ Modular form 441.3.bf.a.107.18
2-21e2-147.107-c2-0-24 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.250$ $0$ $1.45547$ Modular form 441.3.bf.a.107.29
2-21e2-147.107-c2-0-25 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.0163$ $0$ $1.48594$ Modular form 441.3.bf.a.107.2
2-21e2-147.107-c2-0-26 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.0533$ $0$ $1.51617$ Modular form 441.3.bf.a.107.10
2-21e2-147.107-c2-0-27 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.0531$ $0$ $1.56107$ Modular form 441.3.bf.a.107.24
2-21e2-147.107-c2-0-28 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.156$ $0$ $1.58542$ Modular form 441.3.bf.a.107.28
2-21e2-147.107-c2-0-29 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.0987$ $0$ $1.63333$ Modular form 441.3.bf.a.107.17
2-21e2-147.107-c2-0-3 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.421$ $0$ $0.240576$ Modular form 441.3.bf.a.107.7
2-21e2-147.107-c2-0-30 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.237$ $0$ $1.71125$ Modular form 441.3.bf.a.107.30
2-21e2-147.107-c2-0-31 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.417$ $0$ $1.71895$ Modular form 441.3.bf.a.107.21
2-21e2-147.107-c2-0-32 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.350$ $0$ $1.71900$ Modular form 441.3.bf.a.107.27
2-21e2-147.107-c2-0-33 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.366$ $0$ $1.99391$ Modular form 441.3.bf.a.107.35
2-21e2-147.107-c2-0-34 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.392$ $0$ $2.28487$ Modular form 441.3.bf.a.107.34
2-21e2-147.107-c2-0-35 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.437$ $0$ $2.36647$ Modular form 441.3.bf.a.107.38
2-21e2-147.107-c2-0-36 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.458$ $0$ $2.58671$ Modular form 441.3.bf.a.107.36
2-21e2-147.107-c2-0-37 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.320$ $0$ $3.07498$ Modular form 441.3.bf.a.107.37
2-21e2-147.107-c2-0-4 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $0.484$ $0$ $0.414305$ Modular form 441.3.bf.a.107.13
2-21e2-147.107-c2-0-5 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.303$ $0$ $0.462197$ Modular form 441.3.bf.a.107.5
2-21e2-147.107-c2-0-6 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.145$ $0$ $0.489249$ Modular form 441.3.bf.a.107.31
2-21e2-147.107-c2-0-7 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.0847$ $0$ $0.570473$ Modular form 441.3.bf.a.107.33
2-21e2-147.107-c2-0-8 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.345$ $0$ $0.572957$ Modular form 441.3.bf.a.107.12
2-21e2-147.107-c2-0-9 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.107 $2.0$ $2$ ✓ ✓ $-0.388$ $0$ $0.588175$ Modular form 441.3.bf.a.107.6
2-21e2-147.11-c2-0-0 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.11 $2.0$ $2$ ✓ ✓ $-0.237$ $0$ $0.0494268$ Modular form 441.3.bf.a.305.3
2-21e2-147.11-c2-0-1 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.11 $2.0$ $2$ ✓ ✓ $-0.417$ $0$ $0.0752274$ Modular form 441.3.bf.a.305.21
2-21e2-147.11-c2-0-10 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.11 $2.0$ $2$ ✓ ✓ $0.147$ $0$ $0.740681$ Modular form 441.3.bf.a.305.11
2-21e2-147.11-c2-0-11 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.11 $2.0$ $2$ ✓ ✓ $0.303$ $0$ $0.745690$ Modular form 441.3.bf.a.305.5
2-21e2-147.11-c2-0-12 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.11 $2.0$ $2$ ✓ ✓ $-0.0987$ $0$ $0.753007$ Modular form 441.3.bf.a.305.17
2-21e2-147.11-c2-0-13 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.11 $2.0$ $2$ ✓ ✓ $-0.250$ $0$ $0.876197$ Modular form 441.3.bf.a.305.29
2-21e2-147.11-c2-0-14 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.11 $2.0$ $2$ ✓ ✓ $0.0163$ $0$ $0.878523$ Modular form 441.3.bf.a.305.2
2-21e2-147.11-c2-0-15 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.11 $2.0$ $2$ ✓ ✓ $0.0533$ $0$ $0.983937$ Modular form 441.3.bf.a.305.10
2-21e2-147.11-c2-0-16 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.11 $2.0$ $2$ ✓ ✓ $-0.366$ $0$ $1.07064$ Modular form 441.3.bf.a.305.35
2-21e2-147.11-c2-0-17 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.11 $2.0$ $2$ ✓ ✓ $0.329$ $0$ $1.07075$ Modular form 441.3.bf.a.305.4
2-21e2-147.11-c2-0-18 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.11 $2.0$ $2$ ✓ ✓ $-0.392$ $0$ $1.16059$ Modular form 441.3.bf.a.305.34
2-21e2-147.11-c2-0-19 $3.46$ $12.0$ $2$ $3^{2} \cdot 7^{2}$ 147.11 $2.0$ $2$ ✓ ✓ $-0.237$ $0$ $1.21810$ Modular form 441.3.bf.a.305.30
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