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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
2-447-447.446-c0-0-0 $0.472$ $0.223$ $2$ $3 \cdot 149$ 447.446 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $0.968060$ Modular form 447.1.d.b.446.1
2-447-447.446-c0-0-1 $0.472$ $0.223$ $2$ $3 \cdot 149$ 447.446 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.48983$ Modular form 447.1.d.b.446.2
2-447-447.446-c0-0-2 $0.472$ $0.223$ $2$ $3 \cdot 149$ 447.446 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.56232$ Artin representation 2.447.7t2.a.a Modular form 447.1.d.a.446.1
2-447-447.446-c0-0-3 $0.472$ $0.223$ $2$ $3 \cdot 149$ 447.446 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.76457$ Artin representation 2.447.7t2.a.b Modular form 447.1.d.a.446.2
2-447-447.446-c0-0-4 $0.472$ $0.223$ $2$ $3 \cdot 149$ 447.446 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $2.32169$ Modular form 447.1.d.b.446.3
2-447-447.446-c0-0-5 $0.472$ $0.223$ $2$ $3 \cdot 149$ 447.446 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $2.64789$ Artin representation 2.447.7t2.a.c Modular form 447.1.d.a.446.3
2-447-1.1-c1-0-0 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.514559$ Modular form 447.2.a.d.1.3
2-447-1.1-c1-0-1 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.761807$ Modular form 447.2.a.d.1.4
2-447-1.1-c1-0-10 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.63282$ Modular form 447.2.a.d.1.7
2-447-1.1-c1-0-11 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.66183$ Modular form 447.2.a.b.1.1
2-447-1.1-c1-0-12 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.72067$ Modular form 447.2.a.d.1.8
2-447-1.1-c1-0-13 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.77404$ Modular form 447.2.a.c.1.2
2-447-1.1-c1-0-14 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.83246$ Modular form 447.2.a.d.1.9
2-447-1.1-c1-0-15 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.91891$ Modular form 447.2.a.a.1.1
2-447-1.1-c1-0-16 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.94556$ Modular form 447.2.a.b.1.2
2-447-1.1-c1-0-17 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.99433$ Modular form 447.2.a.a.1.2
2-447-1.1-c1-0-18 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.01638$ Modular form 447.2.a.c.1.6
2-447-1.1-c1-0-19 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.14301$ Modular form 447.2.a.c.1.7
2-447-1.1-c1-0-2 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.00181$ Modular form 447.2.a.d.1.6
2-447-1.1-c1-0-20 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.19284$ Modular form 447.2.a.c.1.8
2-447-1.1-c1-0-21 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.20709$ Modular form 447.2.a.c.1.9
2-447-1.1-c1-0-22 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.22887$ Modular form 447.2.a.d.1.10
2-447-1.1-c1-0-23 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.61181$ Modular form 447.2.a.b.1.3
2-447-1.1-c1-0-24 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.92160$ Modular form 447.2.a.a.1.3
2-447-1.1-c1-0-3 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.01045$ Modular form 447.2.a.c.1.3
2-447-1.1-c1-0-4 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.01952$ Modular form 447.2.a.d.1.1
2-447-1.1-c1-0-5 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.11146$ Modular form 447.2.a.c.1.1
2-447-1.1-c1-0-6 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.18197$ Modular form 447.2.a.d.1.2
2-447-1.1-c1-0-7 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.20641$ Modular form 447.2.a.d.1.5
2-447-1.1-c1-0-8 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.42072$ Modular form 447.2.a.c.1.4
2-447-1.1-c1-0-9 $1.88$ $3.56$ $2$ $3 \cdot 149$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.46008$ Modular form 447.2.a.c.1.5
2-447-149.100-c1-0-0 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $-0.252$ $0$ $0.458437$ Modular form 447.2.i.a.100.7
2-447-149.100-c1-0-1 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $0.267$ $0$ $0.523961$ Modular form 447.2.i.a.100.24
2-447-149.100-c1-0-10 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $0.0870$ $0$ $1.25196$ Modular form 447.2.i.a.100.9
2-447-149.100-c1-0-11 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $-0.105$ $0$ $1.39847$ Modular form 447.2.i.a.100.17
2-447-149.100-c1-0-12 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $-0.163$ $0$ $1.58849$ Modular form 447.2.i.a.100.18
2-447-149.100-c1-0-13 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $0.274$ $0$ $1.82120$ Modular form 447.2.i.a.100.8
2-447-149.100-c1-0-14 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $-0.0693$ $0$ $1.82428$ Modular form 447.2.i.a.100.23
2-447-149.100-c1-0-15 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $0.0353$ $0$ $2.12378$ Modular form 447.2.i.a.100.19
2-447-149.100-c1-0-16 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $0.247$ $0$ $2.13312$ Modular form 447.2.i.a.100.12
2-447-149.100-c1-0-17 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $-0.343$ $0$ $2.21731$ Modular form 447.2.i.a.100.1
2-447-149.100-c1-0-18 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $0.0887$ $0$ $2.23884$ Modular form 447.2.i.a.100.13
2-447-149.100-c1-0-19 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $0.399$ $0$ $2.31224$ Modular form 447.2.i.a.100.10
2-447-149.100-c1-0-2 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $-0.0275$ $0$ $0.549964$ Modular form 447.2.i.a.100.4
2-447-149.100-c1-0-20 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $0.209$ $0$ $2.37181$ Modular form 447.2.i.a.100.14
2-447-149.100-c1-0-21 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $0.437$ $0$ $2.47212$ Modular form 447.2.i.a.100.6
2-447-149.100-c1-0-22 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $-0.389$ $0$ $2.51317$ Modular form 447.2.i.a.100.5
2-447-149.100-c1-0-23 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $-0.393$ $0$ $2.53572$ Modular form 447.2.i.a.100.3
2-447-149.100-c1-0-3 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $-0.452$ $0$ $0.815544$ Modular form 447.2.i.a.100.21
2-447-149.100-c1-0-4 $1.88$ $3.56$ $2$ $3 \cdot 149$ 149.100 $1.0$ $1$ ✓ ✓ $0.0925$ $0$ $0.918975$ Modular form 447.2.i.a.100.2
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