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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
2-207-1.1-c3-0-0 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.453507$ Modular form 207.4.a.h.1.2
2-207-1.1-c3-0-1 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.549254$ Modular form 207.4.a.e.1.1
2-207-1.1-c3-0-10 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.49069$ Modular form 207.4.a.g.1.2
2-207-1.1-c3-0-11 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.57457$ Modular form 207.4.a.d.1.2
2-207-1.1-c3-0-12 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.58627$ Modular form 207.4.a.g.1.1
2-207-1.1-c3-0-13 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.72306$ Modular form 207.4.a.h.1.4
2-207-1.1-c3-0-14 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.76792$ Modular form 207.4.a.c.1.2
2-207-1.1-c3-0-15 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.76942$ Modular form 207.4.a.e.1.4
2-207-1.1-c3-0-16 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.78482$ Modular form 207.4.a.d.1.1
2-207-1.1-c3-0-17 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.80474$ Modular form 207.4.a.b.1.1
2-207-1.1-c3-0-18 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.85008$ Modular form 207.4.a.g.1.3
2-207-1.1-c3-0-19 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.85991$ Modular form 207.4.a.h.1.5
2-207-1.1-c3-0-2 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.631043$ Modular form 207.4.a.f.1.2
2-207-1.1-c3-0-20 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $2.16687$ Modular form 207.4.a.f.1.4
2-207-1.1-c3-0-21 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.16943$ Modular form 207.4.a.d.1.3
2-207-1.1-c3-0-22 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.44237$ Modular form 207.4.a.a Modular form 207.4.a.a.1.1
2-207-1.1-c3-0-23 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.52729$ Modular form 207.4.a.g.1.4
2-207-1.1-c3-0-24 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.74181$ Modular form 207.4.a.g.1.5
2-207-1.1-c3-0-25 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.79370$ Modular form 207.4.a.b.1.2
2-207-1.1-c3-0-26 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.96481$ Modular form 207.4.a.d.1.4
2-207-1.1-c3-0-3 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.737640$ Modular form 207.4.a.e.1.3
2-207-1.1-c3-0-4 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.924262$ Modular form 207.4.a.f.1.1
2-207-1.1-c3-0-5 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.04286$ Modular form 207.4.a.h.1.3
2-207-1.1-c3-0-6 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.04536$ Modular form 207.4.a.c.1.1
2-207-1.1-c3-0-7 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.05289$ Modular form 207.4.a.h.1.1
2-207-1.1-c3-0-8 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.22887$ Modular form 207.4.a.e.1.2
2-207-1.1-c3-0-9 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.34720$ Modular form 207.4.a.f.1.3
2-207-207.11-c3-0-0 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $0.462$ $0$ $0.101378$ Modular form 207.4.o.a.11.12
2-207-207.11-c3-0-1 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $-0.0902$ $0$ $0.153913$ Modular form 207.4.o.a.11.6
2-207-207.11-c3-0-10 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $-0.138$ $0$ $0.405890$ Modular form 207.4.o.a.11.30
2-207-207.11-c3-0-11 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $-0.312$ $0$ $0.491209$ Modular form 207.4.o.a.11.16
2-207-207.11-c3-0-12 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $-0.269$ $0$ $0.535813$ Modular form 207.4.o.a.11.20
2-207-207.11-c3-0-13 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $-0.184$ $0$ $0.580628$ Modular form 207.4.o.a.11.51
2-207-207.11-c3-0-14 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $0.0709$ $0$ $0.589672$ Modular form 207.4.o.a.11.23
2-207-207.11-c3-0-15 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $-0.482$ $0$ $0.631661$ Modular form 207.4.o.a.11.5
2-207-207.11-c3-0-16 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $-0.295$ $0$ $0.643930$ Modular form 207.4.o.a.11.17
2-207-207.11-c3-0-17 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $-0.412$ $0$ $0.693979$ Modular form 207.4.o.a.11.28
2-207-207.11-c3-0-18 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $-0.399$ $0$ $0.726318$ Modular form 207.4.o.a.11.49
2-207-207.11-c3-0-19 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $-0.0359$ $0$ $0.789130$ Modular form 207.4.o.a.11.48
2-207-207.11-c3-0-2 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $-0.445$ $0$ $0.194272$ Modular form 207.4.o.a.11.46
2-207-207.11-c3-0-20 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $-0.279$ $0$ $0.789727$ Modular form 207.4.o.a.11.24
2-207-207.11-c3-0-21 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $0.0579$ $0$ $0.830633$ Modular form 207.4.o.a.11.11
2-207-207.11-c3-0-22 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $-0.298$ $0$ $0.856896$ Modular form 207.4.o.a.11.38
2-207-207.11-c3-0-23 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $-0.268$ $0$ $0.907542$ Modular form 207.4.o.a.11.63
2-207-207.11-c3-0-24 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $-0.179$ $0$ $1.00944$ Modular form 207.4.o.a.11.59
2-207-207.11-c3-0-25 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $-0.0567$ $0$ $1.01387$ Modular form 207.4.o.a.11.34
2-207-207.11-c3-0-26 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $0.0258$ $0$ $1.09236$ Modular form 207.4.o.a.11.42
2-207-207.11-c3-0-27 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $0.134$ $0$ $1.09403$ Modular form 207.4.o.a.11.15
2-207-207.11-c3-0-28 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $0.345$ $0$ $1.09857$ Modular form 207.4.o.a.11.22
2-207-207.11-c3-0-29 $3.49$ $12.2$ $2$ $3^{2} \cdot 23$ 207.11 $3.0$ $3$ ✓ ✓ $0.154$ $0$ $1.14251$ Modular form 207.4.o.a.11.39
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