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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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Results (1-50 of 367 matches)

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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
2-2800-112.107-c0-0-0 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.107 $$ $0.0$ $0$ ✓ ✓ $-0.0309$ $0$ $0.722203$ Modular form 2800.1.dc.d.1451.1
2-2800-112.107-c0-0-1 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.107 $$ $0.0$ $0$ ✓ ✓ $-0.0309$ $0$ $1.05932$ Modular form 2800.1.dc.c.1451.1
2-2800-112.107-c0-0-2 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.107 $$ $0.0$ $0$ ✓ ✓ $-0.0309$ $0$ $1.26275$ Modular form 2800.1.dc.b.1451.1
2-2800-112.107-c0-0-3 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.107 $$ $0.0$ $0$ ✓ ✓ $-0.0309$ $0$ $1.46542$ Modular form 2800.1.dc.a.1451.1
2-2800-112.11-c0-0-0 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.11 $$ $0.0$ $0$ ✓ ✓ $0.155$ $0$ $1.04432$ Modular form 2800.1.dc.b.2251.1
2-2800-112.11-c0-0-1 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.11 $$ $0.0$ $0$ ✓ ✓ $0.155$ $0$ $1.05999$ Modular form 2800.1.dc.a.2251.1
2-2800-112.11-c0-0-2 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.11 $$ $0.0$ $0$ ✓ ✓ $0.155$ $0$ $1.65628$ Modular form 2800.1.dc.d.2251.1
2-2800-112.11-c0-0-3 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.11 $$ $0.0$ $0$ ✓ ✓ $0.155$ $0$ $1.85844$ Modular form 2800.1.dc.c.2251.1
2-2800-112.13-c0-0-0 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.13 $$ $0.0$ $0$ ✓ ✓ $0.437$ $0$ $0.436618$ Modular form 2800.1.z.a.2701.1
2-2800-112.13-c0-0-1 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.13 $$ $0.0$ $0$ ✓ ✓ $-0.229$ $0$ $0.551427$ Modular form 2800.1.z.c.2701.1
2-2800-112.13-c0-0-2 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.13 $$ $0.0$ $0$ ✓ ✓ $-0.229$ $0$ $1.00817$ Modular form 2800.1.z.b.2701.2
2-2800-112.13-c0-0-3 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.13 $$ $0.0$ $0$ ✓ ✓ $0.104$ $0$ $1.37982$ Modular form 2800.1.z.c.2701.2
2-2800-112.13-c0-0-4 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.13 $$ $0.0$ $0$ ✓ ✓ $0.104$ $0$ $1.39548$ Modular form 2800.1.z.b.2701.1
2-2800-112.51-c0-0-0 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.51 $$ $0.0$ $0$ ✓ ✓ $-0.155$ $0$ $0.341838$ Modular form 2800.1.dc.d.51.1
2-2800-112.51-c0-0-1 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.51 $$ $0.0$ $0$ ✓ ✓ $-0.155$ $0$ $0.381654$ Modular form 2800.1.dc.b.51.1
2-2800-112.51-c0-0-2 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.51 $$ $0.0$ $0$ ✓ ✓ $-0.155$ $0$ $0.901237$ Modular form 2800.1.dc.a.51.1
2-2800-112.51-c0-0-3 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.51 $$ $0.0$ $0$ ✓ ✓ $-0.155$ $0$ $1.88601$ Modular form 2800.1.dc.c.51.1
2-2800-112.67-c0-0-0 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.67 $$ $0.0$ $0$ ✓ ✓ $0.0309$ $0$ $0.879721$ Modular form 2800.1.dc.c.851.1
2-2800-112.67-c0-0-1 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.67 $$ $0.0$ $0$ ✓ ✓ $0.0309$ $0$ $1.00683$ Modular form 2800.1.dc.a.851.1
2-2800-112.67-c0-0-2 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.67 $$ $0.0$ $0$ ✓ ✓ $0.0309$ $0$ $1.49457$ Modular form 2800.1.dc.b.851.1
2-2800-112.67-c0-0-3 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.67 $$ $0.0$ $0$ ✓ ✓ $0.0309$ $0$ $1.78778$ Modular form 2800.1.dc.d.851.1
2-2800-112.69-c0-0-0 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.69 $$ $0.0$ $0$ ✓ ✓ $-0.104$ $0$ $0.771956$ Modular form 2800.1.z.b.1301.1
2-2800-112.69-c0-0-1 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.69 $$ $0.0$ $0$ ✓ ✓ $-0.104$ $0$ $1.38738$ Modular form 2800.1.z.c.1301.2
2-2800-112.69-c0-0-2 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.69 $$ $0.0$ $0$ ✓ ✓ $0.229$ $0$ $1.54447$ Modular form 2800.1.z.c.1301.1
2-2800-112.69-c0-0-3 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.69 $$ $0.0$ $0$ ✓ ✓ $0.229$ $0$ $1.68554$ Modular form 2800.1.z.b.1301.2
2-2800-112.69-c0-0-4 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 112.69 $$ $0.0$ $0$ ✓ ✓ $-0.437$ $0$ $1.93509$ Modular form 2800.1.z.a.1301.1
2-2800-140.103-c0-0-0 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.103 $$ $0.0$ $0$ ✓ ✓ $-0.359$ $0$ $0.530098$ Modular form 2800.1.dm.a.943.1
2-2800-140.103-c0-0-1 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.103 $$ $0.0$ $0$ ✓ ✓ $0.140$ $0$ $1.38317$ Modular form 2800.1.dm.a.943.2
2-2800-140.27-c0-0-0 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.27 $$ $0.0$ $0$ ✓ ✓ $-0.453$ $0$ $0.426425$ Modular form 2800.1.v.b.1007.2
2-2800-140.27-c0-0-1 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.27 $$ $0.0$ $0$ ✓ ✓ $-0.286$ $0$ $0.532629$ Modular form 2800.1.v.a.1007.1
2-2800-140.27-c0-0-2 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.27 $$ $0.0$ $0$ ✓ ✓ $-0.120$ $0$ $1.11173$ Modular form 2800.1.v.b.1007.1
2-2800-140.27-c0-0-3 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.27 $$ $0.0$ $0$ ✓ ✓ $0.0464$ $0$ $1.14110$ Modular form 2800.1.v.b.1007.4
2-2800-140.27-c0-0-4 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.27 $$ $0.0$ $0$ ✓ ✓ $0.213$ $0$ $1.79633$ Modular form 2800.1.v.a.1007.2
2-2800-140.27-c0-0-5 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.27 $$ $0.0$ $0$ ✓ ✓ $0.379$ $0$ $2.12147$ Modular form 2800.1.v.b.1007.3
2-2800-140.3-c0-0-0 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.3 $$ $0.0$ $0$ ✓ ✓ $-0.0666$ $0$ $1.10203$ Modular form 2800.1.dm.a.143.2
2-2800-140.3-c0-0-1 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.3 $$ $0.0$ $0$ ✓ ✓ $0.433$ $0$ $1.62314$ Modular form 2800.1.dm.a.143.1
2-2800-140.47-c0-0-0 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.47 $$ $0.0$ $0$ ✓ ✓ $-0.433$ $0$ $0.123979$ Modular form 2800.1.dm.a.607.1
2-2800-140.47-c0-0-1 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.47 $$ $0.0$ $0$ ✓ ✓ $0.0666$ $0$ $1.52792$ Modular form 2800.1.dm.a.607.2
2-2800-140.83-c0-0-0 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.83 $$ $0.0$ $0$ ✓ ✓ $-0.379$ $0$ $0.555716$ Modular form 2800.1.v.b.1343.4
2-2800-140.83-c0-0-1 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.83 $$ $0.0$ $0$ ✓ ✓ $0.286$ $0$ $0.989571$ Modular form 2800.1.v.a.1343.1
2-2800-140.83-c0-0-2 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.83 $$ $0.0$ $0$ ✓ ✓ $0.120$ $0$ $1.13566$ Modular form 2800.1.v.b.1343.2
2-2800-140.83-c0-0-3 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.83 $$ $0.0$ $0$ ✓ ✓ $-0.0464$ $0$ $1.31861$ Modular form 2800.1.v.b.1343.3
2-2800-140.83-c0-0-4 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.83 $$ $0.0$ $0$ ✓ ✓ $-0.213$ $0$ $1.32659$ Modular form 2800.1.v.a.1343.2
2-2800-140.83-c0-0-5 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.83 $$ $0.0$ $0$ ✓ ✓ $0.453$ $0$ $1.92136$ Modular form 2800.1.v.b.1343.1
2-2800-140.87-c0-0-0 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.87 $$ $0.0$ $0$ ✓ ✓ $-0.140$ $0$ $1.18464$ Modular form 2800.1.dm.a.2607.2
2-2800-140.87-c0-0-1 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 140.87 $$ $0.0$ $0$ ✓ ✓ $0.359$ $0$ $1.53486$ Modular form 2800.1.dm.a.2607.1
2-2800-28.11-c0-0-0 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 28.11 $$ $0.0$ $0$ ✓ ✓ $-0.239$ $0$ $1.05360$ Modular form 2800.1.ce.b.1551.1
2-2800-28.11-c0-0-1 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 28.11 $$ $0.0$ $0$ ✓ ✓ $0.260$ $0$ $1.17385$ Modular form 2800.1.ce.a.1551.1
2-2800-28.23-c0-0-0 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 28.23 $$ $0.0$ $0$ ✓ ✓ $-0.260$ $0$ $0.738443$ Modular form 2800.1.ce.a.751.1
2-2800-28.23-c0-0-1 $1.18$ $1.39$ $2$ $2^{4} \cdot 5^{2} \cdot 7$ 28.23 $$ $0.0$ $0$ ✓ ✓ $0.239$ $0$ $1.97198$ Modular form 2800.1.ce.b.751.1
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