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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
2-402-1.1-c1-0-0 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.882025$ Modular form 402.2.a.e.1.1
2-402-1.1-c1-0-1 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.39283$ Modular form 402.2.a.f.1.1
2-402-1.1-c1-0-10 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.30407$ Elliptic curve 402.b Modular form 402.2.a.b Modular form 402.2.a.b.1.1
2-402-1.1-c1-0-2 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.44092$ Modular form 402.2.a.e.1.2
2-402-1.1-c1-0-3 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.50955$ Elliptic curve 402.c Modular form 402.2.a.c Modular form 402.2.a.c.1.1
2-402-1.1-c1-0-4 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.63595$ Elliptic curve 402.d Modular form 402.2.a.d Modular form 402.2.a.d.1.1
2-402-1.1-c1-0-5 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.63677$ Modular form 402.2.a.f.1.2
2-402-1.1-c1-0-6 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.78300$ Modular form 402.2.a.g.1.1
2-402-1.1-c1-0-7 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.82523$ Modular form 402.2.a.g.1.2
2-402-1.1-c1-0-8 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.07174$ Elliptic curve 402.a Modular form 402.2.a.a Modular form 402.2.a.a.1.1
2-402-1.1-c1-0-9 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.25927$ Modular form 402.2.a.g.1.3
2-402-201.101-c1-0-0 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.401$ $0$ $0.328750$ Modular form 402.2.n.b.101.3
2-402-201.101-c1-0-1 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.124$ $0$ $0.344854$ Modular form 402.2.n.a.101.1
2-402-201.101-c1-0-10 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.239$ $0$ $1.40924$ Modular form 402.2.n.a.101.2
2-402-201.101-c1-0-11 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.0668$ $0$ $1.45517$ Modular form 402.2.n.a.101.10
2-402-201.101-c1-0-12 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.00755$ $0$ $1.56024$ Modular form 402.2.n.b.101.4
2-402-201.101-c1-0-13 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.0711$ $0$ $1.71187$ Modular form 402.2.n.b.101.5
2-402-201.101-c1-0-14 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.256$ $0$ $1.76288$ Modular form 402.2.n.a.101.6
2-402-201.101-c1-0-15 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.148$ $0$ $1.82976$ Modular form 402.2.n.a.101.11
2-402-201.101-c1-0-16 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.0905$ $0$ $1.96646$ Modular form 402.2.n.b.101.9
2-402-201.101-c1-0-17 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.0541$ $0$ $2.06786$ Modular form 402.2.n.b.101.11
2-402-201.101-c1-0-18 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.346$ $0$ $2.14940$ Modular form 402.2.n.a.101.7
2-402-201.101-c1-0-19 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.435$ $0$ $2.70327$ Modular form 402.2.n.a.101.5
2-402-201.101-c1-0-2 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.112$ $0$ $0.570687$ Modular form 402.2.n.a.101.4
2-402-201.101-c1-0-20 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.476$ $0$ $2.75724$ Modular form 402.2.n.b.101.7
2-402-201.101-c1-0-21 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.495$ $0$ $2.83085$ Modular form 402.2.n.a.101.9
2-402-201.101-c1-0-3 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.451$ $0$ $0.597531$ Modular form 402.2.n.b.101.6
2-402-201.101-c1-0-4 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.194$ $0$ $0.738865$ Modular form 402.2.n.a.101.8
2-402-201.101-c1-0-5 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.410$ $0$ $0.787510$ Modular form 402.2.n.b.101.1
2-402-201.101-c1-0-6 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.128$ $0$ $0.946611$ Modular form 402.2.n.a.101.3
2-402-201.101-c1-0-7 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.351$ $0$ $1.14733$ Modular form 402.2.n.b.101.8
2-402-201.101-c1-0-8 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.226$ $0$ $1.23591$ Modular form 402.2.n.b.101.10
2-402-201.101-c1-0-9 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.0867$ $0$ $1.32847$ Modular form 402.2.n.b.101.2
2-402-201.11-c1-0-0 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $0.412$ $0$ $0.0650040$ Modular form 402.2.n.a.11.2
2-402-201.11-c1-0-1 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $0.366$ $0$ $0.324142$ Modular form 402.2.n.a.11.4
2-402-201.11-c1-0-10 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $0.221$ $0$ $1.19030$ Modular form 402.2.n.b.11.2
2-402-201.11-c1-0-11 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $0.0102$ $0$ $1.28068$ Modular form 402.2.n.b.11.7
2-402-201.11-c1-0-12 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $-0.258$ $0$ $1.46921$ Modular form 402.2.n.a.11.9
2-402-201.11-c1-0-13 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $-0.0451$ $0$ $1.65023$ Modular form 402.2.n.a.11.6
2-402-201.11-c1-0-14 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $0.124$ $0$ $1.67836$ Modular form 402.2.n.b.11.5
2-402-201.11-c1-0-15 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $0.202$ $0$ $1.80647$ Modular form 402.2.n.b.11.9
2-402-201.11-c1-0-16 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $0.113$ $0$ $1.91808$ Modular form 402.2.n.b.11.11
2-402-201.11-c1-0-17 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $-0.0471$ $0$ $2.02912$ Modular form 402.2.n.a.11.11
2-402-201.11-c1-0-18 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $0.155$ $0$ $2.17311$ Modular form 402.2.n.a.11.5
2-402-201.11-c1-0-19 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $0.378$ $0$ $2.25346$ Modular form 402.2.n.b.11.8
2-402-201.11-c1-0-2 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $-0.301$ $0$ $0.403477$ Modular form 402.2.n.b.11.10
2-402-201.11-c1-0-20 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $-0.417$ $0$ $2.49511$ Modular form 402.2.n.b.11.3
2-402-201.11-c1-0-21 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $0.385$ $0$ $2.51978$ Modular form 402.2.n.a.11.7
2-402-201.11-c1-0-3 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $-0.326$ $0$ $0.417631$ Modular form 402.2.n.b.11.4
2-402-201.11-c1-0-4 $1.79$ $3.20$ $2$ $2 \cdot 3 \cdot 67$ 201.11 $1.0$ $1$ ✓ ✓ $-0.110$ $0$ $0.449574$ Modular form 402.2.n.b.11.6
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