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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
2-54-1.1-c1-0-0 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $2.44850$ Elliptic curve 54.a Modular form 54.2.a.a Modular form 54.2.a.a.1.1
2-54-1.1-c1-0-1 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $3.38549$ Elliptic curve 54.b Modular form 54.2.a.b Modular form 54.2.a.b.1.1
2-54-27.13-c1-0-0 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.13 $1.0$ $1$ ✓ ✓ $-0.131$ $0$ $2.83059$ Modular form 54.2.e.b.13.2
2-54-27.13-c1-0-1 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.13 $1.0$ $1$ ✓ ✓ $-0.0538$ $0$ $2.91630$ Modular form 54.2.e.b.13.1
2-54-27.13-c1-0-2 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.13 $1.0$ $1$ ✓ ✓ $0.240$ $0$ $4.13495$ Modular form 54.2.e.a.13.1
2-54-27.16-c1-0-0 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.16 $1.0$ $1$ ✓ ✓ $-0.142$ $0$ $2.39363$ Modular form 54.2.e.b.43.1
2-54-27.16-c1-0-1 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.16 $1.0$ $1$ ✓ ✓ $0.0925$ $0$ $3.06871$ Modular form 54.2.e.a.43.1
2-54-27.16-c1-0-2 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.16 $1.0$ $1$ ✓ ✓ $-0.00561$ $0$ $3.63529$ Modular form 54.2.e.b.43.2
2-54-27.22-c1-0-0 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.22 $1.0$ $1$ ✓ ✓ $-0.0925$ $0$ $2.51670$ Modular form 54.2.e.a.49.1
2-54-27.22-c1-0-1 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.22 $1.0$ $1$ ✓ ✓ $0.00561$ $0$ $3.04501$ Modular form 54.2.e.b.49.2
2-54-27.22-c1-0-2 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.22 $1.0$ $1$ ✓ ✓ $0.142$ $0$ $3.94215$ Modular form 54.2.e.b.49.1
2-54-27.25-c1-0-0 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.25 $1.0$ $1$ ✓ ✓ $-0.240$ $0$ $1.86065$ Modular form 54.2.e.a.25.1
2-54-27.25-c1-0-1 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.25 $1.0$ $1$ ✓ ✓ $0.0538$ $0$ $2.95074$ Modular form 54.2.e.b.25.1
2-54-27.25-c1-0-2 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.25 $1.0$ $1$ ✓ ✓ $0.131$ $0$ $3.84118$ Modular form 54.2.e.b.25.2
2-54-27.4-c1-0-0 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.4 $1.0$ $1$ ✓ ✓ $-0.0810$ $0$ $2.07713$ Modular form 54.2.e.b.31.2
2-54-27.4-c1-0-1 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.4 $1.0$ $1$ ✓ ✓ $-0.0925$ $0$ $2.70182$ Modular form 54.2.e.a.31.1
2-54-27.4-c1-0-2 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.4 $1.0$ $1$ ✓ ✓ $0.229$ $0$ $3.45391$ Modular form 54.2.e.b.31.1
2-54-27.7-c1-0-0 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.7 $1.0$ $1$ ✓ ✓ $-0.229$ $0$ $1.47095$ Modular form 54.2.e.b.7.1
2-54-27.7-c1-0-1 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.7 $1.0$ $1$ ✓ ✓ $0.0810$ $0$ $3.07807$ Modular form 54.2.e.b.7.2
2-54-27.7-c1-0-2 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 27.7 $1.0$ $1$ ✓ ✓ $0.0925$ $0$ $3.73362$ Modular form 54.2.e.a.7.1
2-54-9.4-c1-0-0 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 9.4 $1.0$ $1$ ✓ ✓ $-0.111$ $0$ $2.69831$ Modular form 54.2.c.a.37.1
2-54-9.7-c1-0-0 $0.656$ $0.431$ $2$ $2 \cdot 3^{3}$ 9.7 $1.0$ $1$ ✓ ✓ $0.111$ $0$ $3.57176$ Modular form 54.2.c.a.19.1
2-54-27.11-c2-0-0 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.11 $2.0$ $2$ ✓ ✓ $-0.289$ $0$ $1.37024$ Modular form 54.3.f.a.11.2
2-54-27.11-c2-0-1 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.11 $2.0$ $2$ ✓ ✓ $0.00438$ $0$ $2.60090$ Modular form 54.3.f.a.11.3
2-54-27.11-c2-0-2 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.11 $2.0$ $2$ ✓ ✓ $0.0454$ $0$ $2.69634$ Modular form 54.3.f.a.11.6
2-54-27.11-c2-0-3 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.11 $2.0$ $2$ ✓ ✓ $0.185$ $0$ $2.80582$ Modular form 54.3.f.a.11.1
2-54-27.11-c2-0-4 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.11 $2.0$ $2$ ✓ ✓ $0.257$ $0$ $3.40575$ Modular form 54.3.f.a.11.4
2-54-27.11-c2-0-5 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.11 $2.0$ $2$ ✓ ✓ $0.184$ $0$ $3.52243$ Modular form 54.3.f.a.11.5
2-54-27.14-c2-0-0 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.14 $2.0$ $2$ ✓ ✓ $-0.463$ $0$ $0.0606383$ Modular form 54.3.f.a.41.2
2-54-27.14-c2-0-1 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.14 $2.0$ $2$ ✓ ✓ $-0.114$ $0$ $1.78401$ Modular form 54.3.f.a.41.3
2-54-27.14-c2-0-2 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.14 $2.0$ $2$ ✓ ✓ $0.0905$ $0$ $2.07724$ Modular form 54.3.f.a.41.1
2-54-27.14-c2-0-3 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.14 $2.0$ $2$ ✓ ✓ $-0.0764$ $0$ $2.25567$ Modular form 54.3.f.a.41.5
2-54-27.14-c2-0-4 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.14 $2.0$ $2$ ✓ ✓ $0.0312$ $0$ $3.06368$ Modular form 54.3.f.a.41.6
2-54-27.14-c2-0-5 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.14 $2.0$ $2$ ✓ ✓ $0.144$ $0$ $3.27936$ Modular form 54.3.f.a.41.4
2-54-27.2-c2-0-0 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.2 $2.0$ $2$ ✓ ✓ $-0.0905$ $0$ $1.34437$ Modular form 54.3.f.a.29.1
2-54-27.2-c2-0-1 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.2 $2.0$ $2$ ✓ ✓ $-0.144$ $0$ $1.94395$ Modular form 54.3.f.a.29.4
2-54-27.2-c2-0-2 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.2 $2.0$ $2$ ✓ ✓ $0.114$ $0$ $2.55374$ Modular form 54.3.f.a.29.3
2-54-27.2-c2-0-3 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.2 $2.0$ $2$ ✓ ✓ $-0.0312$ $0$ $2.93446$ Modular form 54.3.f.a.29.6
2-54-27.2-c2-0-4 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.2 $2.0$ $2$ ✓ ✓ $0.0764$ $0$ $3.11067$ Modular form 54.3.f.a.29.5
2-54-27.2-c2-0-5 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.2 $2.0$ $2$ ✓ ✓ $0.463$ $0$ $3.24262$ Modular form 54.3.f.a.29.2
2-54-27.20-c2-0-0 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.20 $2.0$ $2$ ✓ ✓ $-0.329$ $0$ $1.28167$ Modular form 54.3.f.a.47.4
2-54-27.20-c2-0-1 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.20 $2.0$ $2$ ✓ ✓ $-0.0115$ $0$ $1.85497$ Modular form 54.3.f.a.47.3
2-54-27.20-c2-0-2 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.20 $2.0$ $2$ ✓ ✓ $-0.159$ $0$ $2.25542$ Modular form 54.3.f.a.47.6
2-54-27.20-c2-0-3 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.20 $2.0$ $2$ ✓ ✓ $-0.0228$ $0$ $2.54443$ Modular form 54.3.f.a.47.5
2-54-27.20-c2-0-4 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.20 $2.0$ $2$ ✓ ✓ $0.334$ $0$ $3.49806$ Modular form 54.3.f.a.47.2
2-54-27.20-c2-0-5 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.20 $2.0$ $2$ ✓ ✓ $-0.422$ $0$ $4.33309$ Modular form 54.3.f.a.47.1
2-54-27.23-c2-0-0 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.23 $2.0$ $2$ ✓ ✓ $0.422$ $0$ $0.00887873$ Modular form 54.3.f.a.23.1
2-54-27.23-c2-0-1 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.23 $2.0$ $2$ ✓ ✓ $-0.334$ $0$ $1.25071$ Modular form 54.3.f.a.23.2
2-54-27.23-c2-0-2 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.23 $2.0$ $2$ ✓ ✓ $0.0228$ $0$ $2.26485$ Modular form 54.3.f.a.23.5
2-54-27.23-c2-0-3 $1.21$ $1.47$ $2$ $2 \cdot 3^{3}$ 27.23 $2.0$ $2$ ✓ ✓ $0.0115$ $0$ $2.36590$ Modular form 54.3.f.a.23.3
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