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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
2-446-1.1-c1-0-0 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.895607$ Modular form 446.2.a.f.1.3
2-446-1.1-c1-0-1 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.938082$ Modular form 446.2.a.f.1.4
2-446-1.1-c1-0-10 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.83480$ Modular form 446.2.a.f.1.7
2-446-1.1-c1-0-11 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.84633$ Modular form 446.2.a.e.1.6
2-446-1.1-c1-0-12 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.85624$ Modular form 446.2.a.e.1.5
2-446-1.1-c1-0-13 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.94754$ Elliptic curve 446.d Modular form 446.2.a.d Modular form 446.2.a.d.1.1
2-446-1.1-c1-0-14 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.98541$ Elliptic curve 446.b Modular form 446.2.a.b Modular form 446.2.a.b.1.1
2-446-1.1-c1-0-15 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.17118$ Modular form 446.2.a.e.1.4
2-446-1.1-c1-0-16 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.33212$ Modular form 446.2.a.e.1.7
2-446-1.1-c1-0-17 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.62239$ Elliptic curve 446.c Modular form 446.2.a.c Modular form 446.2.a.c.1.1
2-446-1.1-c1-0-18 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $2$ $3.01676$ Elliptic curve 446.a Modular form 446.2.a.a Modular form 446.2.a.a.1.1
2-446-1.1-c1-0-2 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.950207$ Modular form 446.2.a.f.1.1
2-446-1.1-c1-0-3 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.969579$ Modular form 446.2.a.e.1.1
2-446-1.1-c1-0-4 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.11615$ Modular form 446.2.a.f.1.2
2-446-1.1-c1-0-5 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.38837$ Modular form 446.2.a.e.1.2
2-446-1.1-c1-0-6 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.52380$ Modular form 446.2.a.e.1.3
2-446-1.1-c1-0-7 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.53905$ Modular form 446.2.a.f.1.8
2-446-1.1-c1-0-8 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.60900$ Modular form 446.2.a.f.1.5
2-446-1.1-c1-0-9 $1.88$ $3.56$ $2$ $2 \cdot 223$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.64498$ Modular form 446.2.a.f.1.6
2-446-223.100-c1-0-0 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $-0.443$ $0$ $0.227400$ Modular form 446.2.g.b.323.6
2-446-223.100-c1-0-1 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $-0.0316$ $0$ $0.537021$ Modular form 446.2.g.b.323.1
2-446-223.100-c1-0-10 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $-0.0732$ $0$ $1.56404$ Modular form 446.2.g.a.323.5
2-446-223.100-c1-0-11 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $0.245$ $0$ $1.62308$ Modular form 446.2.g.b.323.3
2-446-223.100-c1-0-12 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $0.456$ $0$ $1.83571$ Modular form 446.2.g.b.323.2
2-446-223.100-c1-0-13 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $0.124$ $0$ $1.85776$ Modular form 446.2.g.b.323.8
2-446-223.100-c1-0-14 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $-0.0373$ $0$ $1.95323$ Modular form 446.2.g.a.323.6
2-446-223.100-c1-0-15 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $0.191$ $0$ $2.19087$ Modular form 446.2.g.a.323.3
2-446-223.100-c1-0-16 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $0.477$ $0$ $2.23740$ Modular form 446.2.g.b.323.4
2-446-223.100-c1-0-17 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $0.455$ $0$ $2.57025$ Modular form 446.2.g.a.323.1
2-446-223.100-c1-0-2 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $-0.300$ $0$ $0.707660$ Modular form 446.2.g.a.323.4
2-446-223.100-c1-0-3 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $-0.292$ $0$ $0.784351$ Modular form 446.2.g.b.323.9
2-446-223.100-c1-0-4 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $-0.424$ $0$ $0.941755$ Modular form 446.2.g.a.323.8
2-446-223.100-c1-0-5 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $-0.416$ $0$ $1.00786$ Modular form 446.2.g.a.323.9
2-446-223.100-c1-0-6 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $0.0847$ $0$ $1.12328$ Modular form 446.2.g.b.323.5
2-446-223.100-c1-0-7 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $-0.0586$ $0$ $1.14179$ Modular form 446.2.g.b.323.7
2-446-223.100-c1-0-8 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $-0.0776$ $0$ $1.17099$ Modular form 446.2.g.a.323.2
2-446-223.100-c1-0-9 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.100 $1.0$ $1$ ✓ ✓ $-0.258$ $0$ $1.41187$ Modular form 446.2.g.a.323.7
2-446-223.101-c1-0-0 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.101 $1.0$ $1$ ✓ ✓ $0.363$ $0$ $0.203465$ Modular form 446.2.g.b.101.1
2-446-223.101-c1-0-1 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.101 $1.0$ $1$ ✓ ✓ $0.455$ $0$ $0.210304$ Modular form 446.2.g.a.101.3
2-446-223.101-c1-0-10 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.101 $1.0$ $1$ ✓ ✓ $0.112$ $0$ $1.43969$ Modular form 446.2.g.a.101.6
2-446-223.101-c1-0-11 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.101 $1.0$ $1$ ✓ ✓ $0.131$ $0$ $1.69318$ Modular form 446.2.g.a.101.4
2-446-223.101-c1-0-12 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.101 $1.0$ $1$ ✓ ✓ $-0.0113$ $0$ $1.79610$ Modular form 446.2.g.b.101.7
2-446-223.101-c1-0-13 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.101 $1.0$ $1$ ✓ ✓ $0.286$ $0$ $1.89808$ Modular form 446.2.g.a.101.9
2-446-223.101-c1-0-14 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.101 $1.0$ $1$ ✓ ✓ $-0.490$ $0$ $2.27132$ Modular form 446.2.g.a.101.7
2-446-223.101-c1-0-15 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.101 $1.0$ $1$ ✓ ✓ $0.141$ $0$ $2.28275$ Modular form 446.2.g.b.101.9
2-446-223.101-c1-0-16 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.101 $1.0$ $1$ ✓ ✓ $0.165$ $0$ $2.29948$ Modular form 446.2.g.b.101.8
2-446-223.101-c1-0-17 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.101 $1.0$ $1$ ✓ ✓ $0.386$ $0$ $2.57506$ Modular form 446.2.g.a.101.8
2-446-223.101-c1-0-2 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.101 $1.0$ $1$ ✓ ✓ $-0.303$ $0$ $0.591747$ Modular form 446.2.g.a.101.2
2-446-223.101-c1-0-3 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.101 $1.0$ $1$ ✓ ✓ $-0.477$ $0$ $0.712565$ Modular form 446.2.g.b.101.2
2-446-223.101-c1-0-4 $1.88$ $3.56$ $2$ $2 \cdot 223$ 223.101 $1.0$ $1$ ✓ ✓ $-0.0385$ $0$ $0.961594$ Modular form 446.2.g.a.101.5
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