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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
2-189-21.11-c0-0-0 $0.307$ $0.0943$ $2$ $3^{3} \cdot 7$ 21.11 $0.0$ 0 ✓ ✓ $-0.0732$ $0$ $1.91255$ Artin representation 2.189.6t5.a.a Modular form 189.1.q.a.53.1
2-189-21.2-c0-0-0 $0.307$ $0.0943$ $2$ $3^{3} \cdot 7$ 21.2 $0.0$ 0 ✓ ✓ $0.0732$ $0$ $2.55939$ Artin representation 2.189.6t5.a.b Modular form 189.1.q.a.107.1
2-189-7.3-c0-0-0 $0.307$ $0.0943$ $2$ $3^{3} \cdot 7$ 7.3 $0.0$ 0 ✓ ✓ $0.0631$ $0$ $2.74706$ Modular form 189.1.m.a.136.1
2-189-7.5-c0-0-0 $0.307$ $0.0943$ $2$ $3^{3} \cdot 7$ 7.5 $0.0$ 0 ✓ ✓ $-0.0631$ $0$ $2.08500$ Modular form 189.1.m.a.82.1
2-189-1.1-c1-0-0 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.19573$ Modular form 189.2.a.e.1.1
2-189-1.1-c1-0-1 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.37701$ Modular form 189.2.a.f.1.1
2-189-1.1-c1-0-2 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.69414$ Elliptic curve 189.c Modular form 189.2.a.c Modular form 189.2.a.c.1.1
2-189-1.1-c1-0-3 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.31763$ Modular form 189.2.a.e.1.2
2-189-1.1-c1-0-4 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.34130$ Elliptic curve 189.a Modular form 189.2.a.a Modular form 189.2.a.a.1.1
2-189-1.1-c1-0-5 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $2.42236$ Elliptic curve 189.d Modular form 189.2.a.d Modular form 189.2.a.d.1.1
2-189-1.1-c1-0-6 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.74106$ Modular form 189.2.a.f.1.2
2-189-1.1-c1-0-7 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $3.05701$ Elliptic curve 189.b Modular form 189.2.a.b Modular form 189.2.a.b.1.1
2-189-189.101-c1-0-0 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $-0.499$ $0$ $0.159242$ Modular form 189.2.ba.a.101.8
2-189-189.101-c1-0-1 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $0.324$ $0$ $0.350697$ Modular form 189.2.ba.a.101.4
2-189-189.101-c1-0-10 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $0.0315$ $0$ $1.66914$ Modular form 189.2.ba.a.101.12
2-189-189.101-c1-0-11 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $-0.00883$ $0$ $1.70255$ Modular form 189.2.ba.a.101.6
2-189-189.101-c1-0-12 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $-0.143$ $0$ $1.88721$ Modular form 189.2.ba.a.101.5
2-189-189.101-c1-0-13 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $0.0772$ $0$ $2.06181$ Modular form 189.2.ba.a.101.1
2-189-189.101-c1-0-14 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $0.156$ $0$ $2.07281$ Modular form 189.2.ba.a.101.16
2-189-189.101-c1-0-15 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $0.0556$ $0$ $2.15875$ Modular form 189.2.ba.a.101.17
2-189-189.101-c1-0-16 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $0.0620$ $0$ $2.34061$ Modular form 189.2.ba.a.101.11
2-189-189.101-c1-0-17 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $0.181$ $0$ $2.45767$ Modular form 189.2.ba.a.101.15
2-189-189.101-c1-0-18 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $0.298$ $0$ $2.92935$ Modular form 189.2.ba.a.101.22
2-189-189.101-c1-0-19 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $0.257$ $0$ $3.22655$ Modular form 189.2.ba.a.101.20
2-189-189.101-c1-0-2 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $0.324$ $0$ $0.416812$ Modular form 189.2.ba.a.101.3
2-189-189.101-c1-0-20 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $0.324$ $0$ $3.28032$ Modular form 189.2.ba.a.101.19
2-189-189.101-c1-0-21 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $0.457$ $0$ $3.81961$ Modular form 189.2.ba.a.101.21
2-189-189.101-c1-0-3 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $-0.342$ $0$ $0.757548$ Modular form 189.2.ba.a.101.7
2-189-189.101-c1-0-4 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $-0.199$ $0$ $0.830965$ Modular form 189.2.ba.a.101.14
2-189-189.101-c1-0-5 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $-0.284$ $0$ $0.852340$ Modular form 189.2.ba.a.101.2
2-189-189.101-c1-0-6 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $-0.315$ $0$ $1.25332$ Modular form 189.2.ba.a.101.9
2-189-189.101-c1-0-7 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $-0.106$ $0$ $1.29000$ Modular form 189.2.ba.a.101.18
2-189-189.101-c1-0-8 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $-0.233$ $0$ $1.42064$ Modular form 189.2.ba.a.101.10
2-189-189.101-c1-0-9 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.101 $1.0$ $1$ ✓ ✓ $-0.128$ $0$ $1.57120$ Modular form 189.2.ba.a.101.13
2-189-189.104-c1-0-0 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.104 $1.0$ $1$ ✓ ✓ $0.393$ $0$ $0.186281$ Modular form 189.2.be.a.104.5
2-189-189.104-c1-0-1 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.104 $1.0$ $1$ ✓ ✓ $0.272$ $0$ $0.615040$ Modular form 189.2.be.a.104.1
2-189-189.104-c1-0-10 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.104 $1.0$ $1$ ✓ ✓ $0.0223$ $0$ $1.95607$ Modular form 189.2.be.a.104.3
2-189-189.104-c1-0-11 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.104 $1.0$ $1$ ✓ ✓ $0.162$ $0$ $1.98488$ Modular form 189.2.be.a.104.15
2-189-189.104-c1-0-12 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.104 $1.0$ $1$ ✓ ✓ $-0.0161$ $0$ $2.12215$ Modular form 189.2.be.a.104.12
2-189-189.104-c1-0-13 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.104 $1.0$ $1$ ✓ ✓ $-0.0181$ $0$ $2.25507$ Modular form 189.2.be.a.104.2
2-189-189.104-c1-0-14 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.104 $1.0$ $1$ ✓ ✓ $0.0620$ $0$ $2.26576$ Modular form 189.2.be.a.104.10
2-189-189.104-c1-0-15 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.104 $1.0$ $1$ ✓ ✓ $0.193$ $0$ $2.35267$ Modular form 189.2.be.a.104.20
2-189-189.104-c1-0-16 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.104 $1.0$ $1$ ✓ ✓ $0.0266$ $0$ $2.38897$ Modular form 189.2.be.a.104.14
2-189-189.104-c1-0-17 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.104 $1.0$ $1$ ✓ ✓ $0.196$ $0$ $2.46473$ Modular form 189.2.be.a.104.16
2-189-189.104-c1-0-18 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.104 $1.0$ $1$ ✓ ✓ $0.363$ $0$ $3.04833$ Modular form 189.2.be.a.104.17
2-189-189.104-c1-0-19 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.104 $1.0$ $1$ ✓ ✓ $0.472$ $0$ $3.18053$ Modular form 189.2.be.a.104.21
2-189-189.104-c1-0-2 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.104 $1.0$ $1$ ✓ ✓ $-0.332$ $0$ $0.781627$ Modular form 189.2.be.a.104.11
2-189-189.104-c1-0-20 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.104 $1.0$ $1$ ✓ ✓ $0.490$ $0$ $3.38085$ Modular form 189.2.be.a.104.19
2-189-189.104-c1-0-21 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.104 $1.0$ $1$ ✓ ✓ $0.464$ $0$ $3.89766$ Modular form 189.2.be.a.104.22
2-189-189.104-c1-0-3 $1.22$ $1.50$ $2$ $3^{3} \cdot 7$ 189.104 $1.0$ $1$ ✓ ✓ $-0.220$ $0$ $1.13243$ Modular form 189.2.be.a.104.7
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