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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
2-288-24.5-c2-0-0 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 24.5 $2.0$ $2$ ✓ ✓ $-0.424$ $0$ $0.181111$ Modular form 288.3.h.a.17.6
2-288-24.5-c2-0-1 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 24.5 $2.0$ $2$ ✓ ✓ $-0.228$ $0$ $0.623832$ Modular form 288.3.h.a.17.4
2-288-24.5-c2-0-2 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 24.5 $2.0$ $2$ ✓ ✓ $-0.196$ $0$ $0.657280$ Modular form 288.3.h.a.17.2
2-288-24.5-c2-0-3 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 24.5 $2.0$ $2$ ✓ ✓ $-0.000643$ $0$ $1.50250$ Modular form 288.3.h.a.17.8
2-288-24.5-c2-0-4 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 24.5 $2.0$ $2$ ✓ ✓ $0.000643$ $0$ $1.50658$ Modular form 288.3.h.a.17.7
2-288-24.5-c2-0-5 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 24.5 $2.0$ $2$ ✓ ✓ $0.196$ $0$ $1.50736$ Modular form 288.3.h.a.17.1
2-288-24.5-c2-0-6 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 24.5 $2.0$ $2$ ✓ ✓ $0.228$ $0$ $1.66259$ Modular form 288.3.h.a.17.3
2-288-24.5-c2-0-7 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 24.5 $2.0$ $2$ ✓ ✓ $0.424$ $0$ $2.16769$ Modular form 288.3.h.a.17.5
2-288-288.101-c2-0-0 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.386$ $0$ $0.00633651$ Modular form 288.3.be.a.101.66
2-288-288.101-c2-0-1 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.127$ $0$ $0.0824805$ Modular form 288.3.be.a.101.52
2-288-288.101-c2-0-10 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.146$ $0$ $0.232279$ Modular form 288.3.be.a.101.62
2-288-288.101-c2-0-11 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $0.334$ $0$ $0.260525$ Modular form 288.3.be.a.101.44
2-288-288.101-c2-0-12 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.392$ $0$ $0.268559$ Modular form 288.3.be.a.101.38
2-288-288.101-c2-0-13 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.229$ $0$ $0.336733$ Modular form 288.3.be.a.101.28
2-288-288.101-c2-0-14 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.273$ $0$ $0.348214$ Modular form 288.3.be.a.101.34
2-288-288.101-c2-0-15 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.436$ $0$ $0.414158$ Modular form 288.3.be.a.101.1
2-288-288.101-c2-0-16 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.474$ $0$ $0.416505$ Modular form 288.3.be.a.101.64
2-288-288.101-c2-0-17 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.452$ $0$ $0.419696$ Modular form 288.3.be.a.101.3
2-288-288.101-c2-0-18 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.217$ $0$ $0.457144$ Modular form 288.3.be.a.101.55
2-288-288.101-c2-0-19 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $0.116$ $0$ $0.457268$ Modular form 288.3.be.a.101.30
2-288-288.101-c2-0-2 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.193$ $0$ $0.0926157$ Modular form 288.3.be.a.101.41
2-288-288.101-c2-0-20 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.0649$ $0$ $0.488685$ Modular form 288.3.be.a.101.7
2-288-288.101-c2-0-21 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $0.480$ $0$ $0.515351$ Modular form 288.3.be.a.101.83
2-288-288.101-c2-0-22 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $0.484$ $0$ $0.546921$ Modular form 288.3.be.a.101.65
2-288-288.101-c2-0-23 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.429$ $0$ $0.562000$ Modular form 288.3.be.a.101.25
2-288-288.101-c2-0-24 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.238$ $0$ $0.598407$ Modular form 288.3.be.a.101.6
2-288-288.101-c2-0-25 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.0255$ $0$ $0.615297$ Modular form 288.3.be.a.101.40
2-288-288.101-c2-0-26 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $0.0327$ $0$ $0.615625$ Modular form 288.3.be.a.101.11
2-288-288.101-c2-0-27 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $0.136$ $0$ $0.728276$ Modular form 288.3.be.a.101.47
2-288-288.101-c2-0-28 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.120$ $0$ $0.729878$ Modular form 288.3.be.a.101.23
2-288-288.101-c2-0-29 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.422$ $0$ $0.730018$ Modular form 288.3.be.a.101.84
2-288-288.101-c2-0-3 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.410$ $0$ $0.104140$ Modular form 288.3.be.a.101.42
2-288-288.101-c2-0-30 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.129$ $0$ $0.921778$ Modular form 288.3.be.a.101.19
2-288-288.101-c2-0-31 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.0456$ $0$ $0.980945$ Modular form 288.3.be.a.101.57
2-288-288.101-c2-0-32 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.129$ $0$ $0.984877$ Modular form 288.3.be.a.101.89
2-288-288.101-c2-0-33 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.265$ $0$ $1.00773$ Modular form 288.3.be.a.101.48
2-288-288.101-c2-0-34 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $0.0848$ $0$ $1.05697$ Modular form 288.3.be.a.101.36
2-288-288.101-c2-0-35 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.0899$ $0$ $1.09106$ Modular form 288.3.be.a.101.32
2-288-288.101-c2-0-36 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.384$ $0$ $1.12511$ Modular form 288.3.be.a.101.72
2-288-288.101-c2-0-37 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.122$ $0$ $1.16414$ Modular form 288.3.be.a.101.45
2-288-288.101-c2-0-38 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $0.277$ $0$ $1.17203$ Modular form 288.3.be.a.101.24
2-288-288.101-c2-0-39 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.299$ $0$ $1.19210$ Modular form 288.3.be.a.101.35
2-288-288.101-c2-0-4 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.374$ $0$ $0.137478$ Modular form 288.3.be.a.101.21
2-288-288.101-c2-0-40 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $0.126$ $0$ $1.21908$ Modular form 288.3.be.a.101.16
2-288-288.101-c2-0-41 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $0.264$ $0$ $1.23711$ Modular form 288.3.be.a.101.33
2-288-288.101-c2-0-42 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $0.0699$ $0$ $1.26121$ Modular form 288.3.be.a.101.54
2-288-288.101-c2-0-43 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.245$ $0$ $1.29560$ Modular form 288.3.be.a.101.50
2-288-288.101-c2-0-44 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $0.333$ $0$ $1.30981$ Modular form 288.3.be.a.101.9
2-288-288.101-c2-0-45 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $0.0372$ $0$ $1.34200$ Modular form 288.3.be.a.101.10
2-288-288.101-c2-0-46 $2.80$ $7.84$ $2$ $2^{5} \cdot 3^{2}$ 288.101 $2.0$ $2$ ✓ ✓ $-0.146$ $0$ $1.38116$ Modular form 288.3.be.a.101.17
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