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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
2-603-67.27-c0-0-0 $0.548$ $0.300$ $2$ $3^{2} \cdot 67$ 67.27 $0.0$ 0 ✓ ✓ $-0.0599$ $0$ $1.58094$ Modular form 603.1.x.a.496.1
2-603-67.3-c0-0-0 $0.548$ $0.300$ $2$ $3^{2} \cdot 67$ 67.3 $0.0$ 0 ✓ ✓ $-0.00709$ $0$ $1.86849$ Modular form 603.1.x.a.271.1
2-603-67.42-c0-0-0 $0.548$ $0.300$ $2$ $3^{2} \cdot 67$ 67.42 $0.0$ 0 ✓ ✓ $-0.0614$ $0$ $1.29179$ Modular form 603.1.x.a.109.1
2-603-67.43-c0-0-0 $0.548$ $0.300$ $2$ $3^{2} \cdot 67$ 67.43 $0.0$ 0 ✓ ✓ $0.297$ $0$ $2.32469$ Modular form 603.1.x.a.244.1
2-603-67.45-c0-0-0 $0.548$ $0.300$ $2$ $3^{2} \cdot 67$ 67.45 $0.0$ 0 ✓ ✓ $0.00709$ $0$ $1.75076$ Modular form 603.1.x.a.514.1
2-603-67.5-c0-0-0 $0.548$ $0.300$ $2$ $3^{2} \cdot 67$ 67.5 $0.0$ 0 ✓ ✓ $0.0599$ $0$ $1.75242$ Modular form 603.1.x.a.541.1
2-603-67.52-c0-0-0 $0.548$ $0.300$ $2$ $3^{2} \cdot 67$ 67.52 $0.0$ 0 ✓ ✓ $0.218$ $0$ $2.57711$ Modular form 603.1.x.a.253.1
2-603-67.53-c0-0-0 $0.548$ $0.300$ $2$ $3^{2} \cdot 67$ 67.53 $0.0$ 0 ✓ ✓ $-0.297$ $0$ $0.698924$ Modular form 603.1.x.a.388.1
2-603-67.58-c0-0-0 $0.548$ $0.300$ $2$ $3^{2} \cdot 67$ 67.58 $0.0$ 0 ✓ ✓ $-0.218$ $0$ $1.08167$ Modular form 603.1.x.a.460.1
2-603-67.66-c0-0-0 $0.548$ $0.300$ $2$ $3^{2} \cdot 67$ 67.66 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.81938$ Artin representation 2.603.4t3.a Artin representation 2.603.4t3.a.a Modular form 603.1.b.a Modular form 603.1.b.a.334.1
2-603-67.8-c0-0-0 $0.548$ $0.300$ $2$ $3^{2} \cdot 67$ 67.8 $0.0$ 0 ✓ ✓ $0.0614$ $0$ $1.58868$ Modular form 603.1.x.a.343.1
2-603-1.1-c1-0-0 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.617379$ Modular form 603.2.a.l.1.3
2-603-1.1-c1-0-1 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.753434$ Modular form 603.2.a.l.1.2
2-603-1.1-c1-0-10 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.37641$ Modular form 603.2.a.l.1.1
2-603-1.1-c1-0-11 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.57192$ Elliptic curve 603.a Modular form 603.2.a.a Modular form 603.2.a.a.1.1
2-603-1.1-c1-0-12 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.63450$ Elliptic curve 603.f Modular form 603.2.a.f Modular form 603.2.a.f.1.1
2-603-1.1-c1-0-13 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.67191$ Modular form 603.2.a.i.1.2
2-603-1.1-c1-0-14 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.70460$ Modular form 603.2.a.k.1.4
2-603-1.1-c1-0-15 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.83489$ Modular form 603.2.a.k.1.5
2-603-1.1-c1-0-16 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.85584$ Modular form 603.2.a.j.1.2
2-603-1.1-c1-0-17 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.87641$ Modular form 603.2.a.l.1.6
2-603-1.1-c1-0-18 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.88730$ Modular form 603.2.a.i.1.1
2-603-1.1-c1-0-19 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.89061$ Modular form 603.2.a.g.1.1
2-603-1.1-c1-0-2 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.925351$ Modular form 603.2.a.k.1.3
2-603-1.1-c1-0-20 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.90100$ Modular form 603.2.a.j.1.1
2-603-1.1-c1-0-21 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.94941$ Modular form 603.2.a.l.1.5
2-603-1.1-c1-0-22 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.15011$ Modular form 603.2.a.h.1.2
2-603-1.1-c1-0-23 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.30311$ Modular form 603.2.a.j.1.3
2-603-1.1-c1-0-24 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.47364$ Elliptic curve 603.e Modular form 603.2.a.e Modular form 603.2.a.e.1.1
2-603-1.1-c1-0-25 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.58653$ Modular form 603.2.a.i.1.3
2-603-1.1-c1-0-26 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.61482$ Modular form 603.2.a.g.1.2
2-603-1.1-c1-0-27 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $3.02335$ Modular form 603.2.a.j.1.4
2-603-1.1-c1-0-3 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.947039$ Modular form 603.2.a.k.1.1
2-603-1.1-c1-0-4 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.05393$ Elliptic curve 603.c Modular form 603.2.a.c Modular form 603.2.a.c.1.1
2-603-1.1-c1-0-5 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.18090$ Modular form 603.2.a.k.1.2
2-603-1.1-c1-0-6 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.18869$ Elliptic curve 603.b Modular form 603.2.a.b Modular form 603.2.a.b.1.1
2-603-1.1-c1-0-7 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.23606$ Elliptic curve 603.d Modular form 603.2.a.d Modular form 603.2.a.d.1.1
2-603-1.1-c1-0-8 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.27458$ Modular form 603.2.a.l.1.4
2-603-1.1-c1-0-9 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.35660$ Modular form 603.2.a.h.1.1
2-603-201.101-c1-0-0 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.171$ $0$ $0.119078$ Modular form 603.2.bj.a.503.5
2-603-201.101-c1-0-1 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.273$ $0$ $0.215836$ Modular form 603.2.bj.a.503.19
2-603-201.101-c1-0-10 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.244$ $0$ $1.31153$ Modular form 603.2.bj.a.503.15
2-603-201.101-c1-0-11 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.0662$ $0$ $1.45034$ Modular form 603.2.bj.a.503.22
2-603-201.101-c1-0-12 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.154$ $0$ $1.50659$ Modular form 603.2.bj.a.503.20
2-603-201.101-c1-0-13 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.0474$ $0$ $1.55172$ Modular form 603.2.bj.a.503.16
2-603-201.101-c1-0-14 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $-0.0599$ $0$ $1.57165$ Modular form 603.2.bj.a.503.13
2-603-201.101-c1-0-15 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.145$ $0$ $1.69514$ Modular form 603.2.bj.a.503.12
2-603-201.101-c1-0-16 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.338$ $0$ $1.77087$ Modular form 603.2.bj.a.503.6
2-603-201.101-c1-0-17 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.256$ $0$ $1.78514$ Modular form 603.2.bj.a.503.7
2-603-201.101-c1-0-18 $2.19$ $4.81$ $2$ $3^{2} \cdot 67$ 201.101 $1.0$ $1$ ✓ ✓ $0.244$ $0$ $1.87890$ Modular form 603.2.bj.a.503.10
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