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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
2-294-1.1-c1-0-0 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.01560$ Elliptic curve 294.a Modular form 294.2.a.a Modular form 294.2.a.a.1.1
2-294-1.1-c1-0-1 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.40906$ Elliptic curve 294.b Modular form 294.2.a.b Modular form 294.2.a.b.1.1
2-294-1.1-c1-0-2 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.68608$ Elliptic curve 294.e Modular form 294.2.a.e Modular form 294.2.a.e.1.1
2-294-1.1-c1-0-3 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.68706$ Elliptic curve 294.d Modular form 294.2.a.d Modular form 294.2.a.d.1.1
2-294-1.1-c1-0-4 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.92795$ Elliptic curve 294.f Modular form 294.2.a.f Modular form 294.2.a.f.1.1
2-294-1.1-c1-0-5 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $2.16063$ Elliptic curve 294.g Modular form 294.2.a.g Modular form 294.2.a.g.1.1
2-294-1.1-c1-0-6 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.52889$ Elliptic curve 294.c Modular form 294.2.a.c Modular form 294.2.a.c.1.1
2-294-147.101-c1-0-0 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $-0.309$ $0$ $0.0185547$ Modular form 294.2.p.a.101.5
2-294-147.101-c1-0-1 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $-0.227$ $0$ $0.925806$ Modular form 294.2.p.a.101.6
2-294-147.101-c1-0-10 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $0.0900$ $0$ $1.68869$ Modular form 294.2.p.a.101.8
2-294-147.101-c1-0-11 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $-0.143$ $0$ $1.72707$ Modular form 294.2.p.a.101.18
2-294-147.101-c1-0-12 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $-0.00854$ $0$ $1.99505$ Modular form 294.2.p.a.101.16
2-294-147.101-c1-0-13 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $0.0592$ $0$ $2.01412$ Modular form 294.2.p.a.101.14
2-294-147.101-c1-0-14 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $0.209$ $0$ $2.03299$ Modular form 294.2.p.a.101.9
2-294-147.101-c1-0-15 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $0.319$ $0$ $2.40974$ Modular form 294.2.p.a.101.11
2-294-147.101-c1-0-16 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $-0.457$ $0$ $2.45249$ Modular form 294.2.p.a.101.3
2-294-147.101-c1-0-17 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $0.157$ $0$ $2.68060$ Modular form 294.2.p.a.101.17
2-294-147.101-c1-0-2 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $-0.0510$ $0$ $0.938867$ Modular form 294.2.p.a.101.2
2-294-147.101-c1-0-3 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $-0.187$ $0$ $1.06072$ Modular form 294.2.p.a.101.10
2-294-147.101-c1-0-4 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $-0.211$ $0$ $1.34468$ Modular form 294.2.p.a.101.12
2-294-147.101-c1-0-5 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $-0.271$ $0$ $1.39526$ Modular form 294.2.p.a.101.13
2-294-147.101-c1-0-6 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $0.257$ $0$ $1.49372$ Modular form 294.2.p.a.101.1
2-294-147.101-c1-0-7 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $0.140$ $0$ $1.54475$ Modular form 294.2.p.a.101.4
2-294-147.101-c1-0-8 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $-0.101$ $0$ $1.66149$ Modular form 294.2.p.a.101.7
2-294-147.101-c1-0-9 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.101 $1.0$ $1$ ✓ ✓ $-0.162$ $0$ $1.68798$ Modular form 294.2.p.a.101.15
2-294-147.104-c1-0-0 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $0.417$ $0$ $0.162397$ Modular form 294.2.j.a.251.13
2-294-147.104-c1-0-1 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $-0.190$ $0$ $0.257891$ Modular form 294.2.j.a.251.1
2-294-147.104-c1-0-10 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $0.210$ $0$ $1.56383$ Modular form 294.2.j.a.251.4
2-294-147.104-c1-0-11 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $-0.120$ $0$ $1.73000$ Modular form 294.2.j.a.251.20
2-294-147.104-c1-0-12 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $-0.0579$ $0$ $1.73221$ Modular form 294.2.j.a.251.17
2-294-147.104-c1-0-13 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $0.369$ $0$ $1.76509$ Modular form 294.2.j.a.251.2
2-294-147.104-c1-0-14 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $0.0978$ $0$ $1.77609$ Modular form 294.2.j.a.251.10
2-294-147.104-c1-0-15 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $-0.175$ $0$ $1.91692$ Modular form 294.2.j.a.251.19
2-294-147.104-c1-0-16 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $0.0185$ $0$ $2.21573$ Modular form 294.2.j.a.251.18
2-294-147.104-c1-0-17 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $0.406$ $0$ $2.32317$ Modular form 294.2.j.a.251.6
2-294-147.104-c1-0-18 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $-0.490$ $0$ $2.72965$ Modular form 294.2.j.a.251.7
2-294-147.104-c1-0-19 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $0.376$ $0$ $3.02363$ Modular form 294.2.j.a.251.15
2-294-147.104-c1-0-2 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $-0.173$ $0$ $0.886498$ Modular form 294.2.j.a.251.8
2-294-147.104-c1-0-3 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $-0.248$ $0$ $1.01907$ Modular form 294.2.j.a.251.11
2-294-147.104-c1-0-4 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $-0.338$ $0$ $1.08466$ Modular form 294.2.j.a.251.16
2-294-147.104-c1-0-5 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $-0.217$ $0$ $1.08838$ Modular form 294.2.j.a.251.5
2-294-147.104-c1-0-6 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $0.0414$ $0$ $1.09666$ Modular form 294.2.j.a.251.3
2-294-147.104-c1-0-7 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $-0.0907$ $0$ $1.30920$ Modular form 294.2.j.a.251.12
2-294-147.104-c1-0-8 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $-0.255$ $0$ $1.53978$ Modular form 294.2.j.a.251.14
2-294-147.104-c1-0-9 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.104 $1.0$ $1$ ✓ ✓ $-0.0293$ $0$ $1.54800$ Modular form 294.2.j.a.251.9
2-294-147.110-c1-0-0 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.110 $1.0$ $1$ ✓ ✓ $-0.486$ $0$ $0.0301337$ Modular form 294.2.p.a.257.6
2-294-147.110-c1-0-1 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.110 $1.0$ $1$ ✓ ✓ $-0.443$ $0$ $0.287757$ Modular form 294.2.p.a.257.12
2-294-147.110-c1-0-10 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.110 $1.0$ $1$ ✓ ✓ $-0.111$ $0$ $1.67719$ Modular form 294.2.p.a.257.17
2-294-147.110-c1-0-11 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.110 $1.0$ $1$ ✓ ✓ $-0.175$ $0$ $1.76425$ Modular form 294.2.p.a.257.18
2-294-147.110-c1-0-12 $1.53$ $2.34$ $2$ $2 \cdot 3 \cdot 7^{2}$ 147.110 $1.0$ $1$ ✓ ✓ $-0.0782$ $0$ $1.80154$ Modular form 294.2.p.a.257.16
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