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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
2-10e2-1.1-c9-0-0 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $0.290672$ Modular form 100.10.a.d.1.2
2-10e2-1.1-c9-0-1 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $0.559274$ Modular form 100.10.a.c.1.1
2-10e2-1.1-c9-0-10 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.78713$ Modular form 100.10.a.f.1.3
2-10e2-1.1-c9-0-11 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.82785$ Modular form 100.10.a.e.1.3
2-10e2-1.1-c9-0-12 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.84927$ Modular form 100.10.a.e.1.2
2-10e2-1.1-c9-0-13 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.99205$ Modular form 100.10.a.f.1.4
2-10e2-1.1-c9-0-2 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ ✓ $0$ $0$ $0.574196$ Modular form 100.10.a.a Modular form 100.10.a.a.1.1
2-10e2-1.1-c9-0-3 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $0.724313$ Modular form 100.10.a.d.1.1
2-10e2-1.1-c9-0-4 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ ✓ $0$ $0$ $0.818456$ Modular form 100.10.a.b Modular form 100.10.a.b.1.1
2-10e2-1.1-c9-0-5 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $1.05031$ Modular form 100.10.a.d.1.3
2-10e2-1.1-c9-0-6 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.22541$ Modular form 100.10.a.f.1.1
2-10e2-1.1-c9-0-7 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.25505$ Modular form 100.10.a.e.1.1
2-10e2-1.1-c9-0-8 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.37340$ Modular form 100.10.a.f.1.2
2-10e2-1.1-c9-0-9 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $1.47085$ Modular form 100.10.a.c.1.2
2-10e2-100.23-c9-0-0 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $0.188$ $0$ $0.00158206$ Modular form 100.10.l.b.23.19
2-10e2-100.23-c9-0-1 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.397$ $0$ $0.0109249$ Modular form 100.10.l.b.23.69
2-10e2-100.23-c9-0-10 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.329$ $0$ $0.185429$ Modular form 100.10.l.b.23.1
2-10e2-100.23-c9-0-100 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $0.305$ $0$ $1.50576$ Modular form 100.10.l.b.23.60
2-10e2-100.23-c9-0-101 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $0.0292$ $0$ $1.50763$ Modular form 100.10.l.b.23.126
2-10e2-100.23-c9-0-102 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.402$ $0$ $1.54140$ Modular form 100.10.l.b.23.26
2-10e2-100.23-c9-0-103 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $0.167$ $0$ $1.57793$ Modular form 100.10.l.b.23.115
2-10e2-100.23-c9-0-104 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.435$ $0$ $1.60869$ Modular form 100.10.l.b.23.14
2-10e2-100.23-c9-0-105 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $0.154$ $0$ $1.62402$ Modular form 100.10.l.b.23.98
2-10e2-100.23-c9-0-106 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $0.0722$ $0$ $1.64787$ Modular form 100.10.l.b.23.93
2-10e2-100.23-c9-0-107 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $0.299$ $0$ $1.64924$ Modular form 100.10.l.b.23.61
2-10e2-100.23-c9-0-108 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $0.289$ $0$ $1.68574$ Modular form 100.10.l.b.23.106
2-10e2-100.23-c9-0-109 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $0.315$ $0$ $1.72016$ Modular form 100.10.l.b.23.46
2-10e2-100.23-c9-0-11 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $0.351$ $0$ $0.206496$ Modular form 100.10.l.b.23.40
2-10e2-100.23-c9-0-110 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.434$ $0$ $1.73299$ Modular form 100.10.l.b.23.103
2-10e2-100.23-c9-0-111 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $0.187$ $0$ $1.82525$ Modular form 100.10.l.b.23.130
2-10e2-100.23-c9-0-112 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $0.469$ $0$ $1.84701$ Modular form 100.10.l.b.23.82
2-10e2-100.23-c9-0-113 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.0705$ $0$ $1.87081$ Modular form 100.10.l.b.23.24
2-10e2-100.23-c9-0-114 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $0.438$ $0$ $1.87572$ Modular form 100.10.l.b.23.132
2-10e2-100.23-c9-0-115 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $0.413$ $0$ $1.89516$ Modular form 100.10.l.b.23.107
2-10e2-100.23-c9-0-116 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.229$ $0$ $1.91246$ Modular form 100.10.l.b.23.51
2-10e2-100.23-c9-0-117 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.196$ $0$ $1.93769$ Modular form 100.10.l.b.23.64
2-10e2-100.23-c9-0-118 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.342$ $0$ $1.97322$ Modular form 100.10.l.b.23.44
2-10e2-100.23-c9-0-119 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.416$ $0$ $1.97900$ Modular form 100.10.l.b.23.91
2-10e2-100.23-c9-0-12 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $0.102$ $0$ $0.206924$ Modular form 100.10.l.b.23.72
2-10e2-100.23-c9-0-120 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.471$ $0$ $1.99387$ Modular form 100.10.l.b.23.125
2-10e2-100.23-c9-0-121 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.0888$ $0$ $2.03647$ Modular form 100.10.l.b.23.39
2-10e2-100.23-c9-0-122 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.364$ $0$ $2.03972$ Modular form 100.10.l.b.23.78
2-10e2-100.23-c9-0-123 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $0.339$ $0$ $2.04176$ Modular form 100.10.l.b.23.131
2-10e2-100.23-c9-0-124 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.120$ $0$ $2.14018$ Modular form 100.10.l.b.23.9
2-10e2-100.23-c9-0-125 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.340$ $0$ $2.14520$ Modular form 100.10.l.b.23.112
2-10e2-100.23-c9-0-126 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.477$ $0$ $2.14673$ Modular form 100.10.l.b.23.25
2-10e2-100.23-c9-0-127 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.365$ $0$ $2.23758$ Modular form 100.10.l.b.23.120
2-10e2-100.23-c9-0-128 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.124$ $0$ $2.47648$ Modular form 100.10.l.b.23.84
2-10e2-100.23-c9-0-129 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.417$ $0$ $2.53238$ Modular form 100.10.l.b.23.118
2-10e2-100.23-c9-0-13 $7.17$ $51.5$ $2$ $2^{2} \cdot 5^{2}$ 100.23 $9.0$ $9$ ✓ ✓ $-0.430$ $0$ $0.208647$ Modular form 100.10.l.b.23.100
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