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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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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-740-185.154-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 185.154 $0.0$ 0 ✓ ✓ $-0.111$ $0$ $1.46806$ Modular form 740.1.t.b.709.1
2-740-185.154-c0-0-1 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 185.154 $0.0$ 0 ✓ ✓ $0.138$ $0$ $1.76449$ Modular form 740.1.t.a.709.1
2-740-185.179-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 185.179 $0.0$ 0 ✓ ✓ $-0.138$ $0$ $1.02748$ Modular form 740.1.t.a.549.1
2-740-185.179-c0-0-1 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 185.179 $0.0$ 0 ✓ ✓ $0.111$ $0$ $2.28419$ Modular form 740.1.t.b.549.1
2-740-740.103-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.103 $0.0$ 0 ✓ ✓ $-0.333$ $0$ $1.18650$ Modular form 740.1.bj.a.103.1
2-740-740.139-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.139 $0.0$ 0 ✓ ✓ $-0.179$ $0$ $1.52559$ Modular form 740.1.bu.a.139.1
2-740-740.139-c0-0-1 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.139 $0.0$ 0 ✓ ✓ $0.264$ $0$ $1.79135$ Modular form 740.1.bu.b.139.1
2-740-740.143-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.143 $0.0$ 0 ✓ ✓ $0.0490$ $0$ $1.90368$ Modular form 740.1.cb.a.143.1
2-740-740.159-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.159 $0.0$ 0 ✓ ✓ $-0.380$ $0$ $0.868684$ Modular form 740.1.v.b.159.1
2-740-740.159-c0-0-1 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.159 $0.0$ 0 ✓ ✓ $0.286$ $0$ $1.68090$ Modular form 740.1.v.a.159.1
2-740-740.163-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.163 $0.0$ 0 ✓ ✓ $-0.0294$ $0$ $1.97992$ Modular form 740.1.cb.a.163.1
2-740-740.167-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.167 $0.0$ 0 ✓ ✓ $0.0808$ $0$ $1.44385$ Modular form 740.1.cb.a.167.1
2-740-740.183-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.183 $0.0$ 0 ✓ ✓ $-0.230$ $0$ $1.62788$ Modular form 740.1.bw.a.183.1
2-740-740.187-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.187 $0.0$ 0 ✓ ✓ $-0.479$ $0$ $2.20053$ Modular form 740.1.bw.a.187.1
2-740-740.203-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.203 $0.0$ 0 ✓ ✓ $0.184$ $0$ $1.68215$ Modular form 740.1.cb.a.203.1
2-740-740.207-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.207 $0.0$ 0 ✓ ✓ $-0.0490$ $0$ $1.92502$ Modular form 740.1.cb.a.207.1
2-740-740.227-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.227 $0.0$ 0 ✓ ✓ $0.0294$ $0$ $1.78805$ Modular form 740.1.cb.a.227.1
2-740-740.23-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.23 $0.0$ 0 ✓ ✓ $0.176$ $0$ $1.59090$ Modular form 740.1.bm.a.23.1
2-740-740.267-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.267 $0.0$ 0 ✓ ✓ $-0.286$ $0$ $1.39292$ Modular form 740.1.bj.a.267.1
2-740-740.283-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.283 $0.0$ 0 ✓ ✓ $-0.213$ $0$ $1.10294$ Modular form 740.1.cb.a.283.1
2-740-740.299-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.299 $0.0$ 0 ✓ ✓ $-0.0785$ $0$ $1.02071$ Modular form 740.1.bu.b.299.1
2-740-740.299-c0-0-1 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.299 $0.0$ 0 ✓ ✓ $-0.300$ $0$ $1.10631$ Modular form 740.1.bu.a.299.1
2-740-740.327-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.327 $0.0$ 0 ✓ ✓ $0.0237$ $0$ $1.08203$ Modular form 740.1.p.a.327.1
2-740-740.347-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.347 $0.0$ 0 ✓ ✓ $-0.223$ $0$ $1.44415$ Modular form 740.1.bm.a.347.1
2-740-740.383-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.383 $0.0$ 0 ✓ ✓ $-0.111$ $0$ $1.57231$ Modular form 740.1.bw.a.383.1
2-740-740.387-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.387 $0.0$ 0 ✓ ✓ $0.213$ $0$ $1.47010$ Modular form 740.1.cb.a.387.1
2-740-740.427-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.427 $0.0$ 0 ✓ ✓ $0.111$ $0$ $2.19702$ Modular form 740.1.bw.a.427.1
2-740-740.43-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.43 $0.0$ 0 ✓ ✓ $-0.0237$ $0$ $1.77624$ Modular form 740.1.p.a.43.1
2-740-740.463-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.463 $0.0$ 0 ✓ ✓ $0.479$ $0$ $0.264253$ Modular form 740.1.bw.a.463.1
2-740-740.467-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.467 $0.0$ 0 ✓ ✓ $0.333$ $0$ $2.53150$ Modular form 740.1.bj.a.467.1
2-740-740.483-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.483 $0.0$ 0 ✓ ✓ $-0.0808$ $0$ $1.59892$ Modular form 740.1.cb.a.483.1
2-740-740.487-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.487 $0.0$ 0 ✓ ✓ $-0.199$ $0$ $0.721197$ Modular form 740.1.s.a.487.1
2-740-740.503-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.503 $0.0$ 0 ✓ ✓ $0.238$ $0$ $1.95533$ Modular form 740.1.bw.a.503.1
2-740-740.523-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.523 $0.0$ 0 ✓ ✓ $0.0945$ $0$ $1.15515$ Modular form 740.1.bw.a.523.1
2-740-740.539-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.539 $0.0$ 0 ✓ ✓ $-0.167$ $0$ $0.880419$ Modular form 740.1.bu.a.539.1
2-740-740.539-c0-0-1 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.539 $0.0$ 0 ✓ ✓ $-0.0568$ $0$ $1.97997$ Modular form 740.1.bu.b.539.1
2-740-740.547-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.547 $0.0$ 0 ✓ ✓ $-0.176$ $0$ $1.15443$ Modular form 740.1.bm.a.547.1
2-740-740.559-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.559 $0.0$ 0 ✓ ✓ $-0.264$ $0$ $1.28087$ Modular form 740.1.bu.b.559.1
2-740-740.559-c0-0-1 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.559 $0.0$ 0 ✓ ✓ $0.179$ $0$ $1.66870$ Modular form 740.1.bu.a.559.1
2-740-740.563-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.563 $0.0$ 0 ✓ ✓ $0.223$ $0$ $2.55604$ Modular form 740.1.bm.a.563.1
2-740-740.587-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.587 $0.0$ 0 ✓ ✓ $-0.238$ $0$ $1.36393$ Modular form 740.1.bw.a.587.1
2-740-740.607-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.607 $0.0$ 0 ✓ ✓ $-0.0945$ $0$ $1.34764$ Modular form 740.1.bw.a.607.1
2-740-740.619-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.619 $0.0$ 0 ✓ ✓ $-0.286$ $0$ $0.966961$ Modular form 740.1.v.a.619.1
2-740-740.619-c0-0-1 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.619 $0.0$ 0 ✓ ✓ $0.380$ $0$ $2.38655$ Modular form 740.1.v.b.619.1
2-740-740.623-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.623 $0.0$ 0 ✓ ✓ $0.199$ $0$ $1.63905$ Modular form 740.1.s.a.623.1
2-740-740.627-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.627 $0.0$ 0 ✓ ✓ $-0.184$ $0$ $1.16952$ Modular form 740.1.cb.a.627.1
2-740-740.643-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.643 $0.0$ 0 ✓ ✓ $0.286$ $0$ $2.28030$ Modular form 740.1.bj.a.643.1
2-740-740.647-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.647 $0.0$ 0 ✓ ✓ $0.230$ $0$ $2.30757$ Modular form 740.1.bw.a.647.1
2-740-740.659-c0-0-0 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.659 $0.0$ 0 ✓ ✓ $0.167$ $0$ $1.88751$ Modular form 740.1.bu.a.659.1
2-740-740.659-c0-0-1 $0.607$ $0.369$ $2$ $2^{2} \cdot 5 \cdot 37$ 740.659 $0.0$ 0 ✓ ✓ $0.0568$ $0$ $2.01970$ Modular form 740.1.bu.b.659.1
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