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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
2-525-105.17-c0-0-0 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.17 $0.0$ 0 ✓ ✓ $-0.124$ $0$ $0.957285$ Modular form 525.1.be.a.332.1
2-525-105.17-c0-0-1 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.17 $0.0$ 0 ✓ ✓ $0.157$ $0$ $2.36390$ Modular form 525.1.be.a.332.2
2-525-105.38-c0-0-0 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.38 $0.0$ 0 ✓ ✓ $-0.198$ $0$ $1.48726$ Modular form 525.1.be.a.143.2
2-525-105.38-c0-0-1 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.38 $0.0$ 0 ✓ ✓ $0.0839$ $0$ $1.93422$ Modular form 525.1.be.a.143.1
2-525-105.44-c0-0-0 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.44 $0.0$ 0 ✓ ✓ $-0.167$ $0$ $1.31700$ Modular form 525.1.p.a.149.1
2-525-105.44-c0-0-1 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.44 $0.0$ 0 ✓ ✓ $-0.0196$ $0$ $1.88230$ Modular form 525.1.p.a.149.2
2-525-105.47-c0-0-0 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.47 $0.0$ 0 ✓ ✓ $-0.0839$ $0$ $1.75017$ Modular form 525.1.be.a.257.1
2-525-105.47-c0-0-1 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.47 $0.0$ 0 ✓ ✓ $0.198$ $0$ $2.58214$ Modular form 525.1.be.a.257.2
2-525-105.62-c0-0-0 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.62 $0.0$ 0 ✓ ✓ $-0.161$ $0$ $0.940701$ Modular form 525.1.k.a.482.1
2-525-105.62-c0-0-1 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.62 $0.0$ 0 ✓ ✓ $-0.161$ $0$ $1.69822$ Modular form 525.1.k.a.482.2
2-525-105.68-c0-0-0 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.68 $0.0$ 0 ✓ ✓ $-0.157$ $0$ $1.34065$ Modular form 525.1.be.a.68.2
2-525-105.68-c0-0-1 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.68 $0.0$ 0 ✓ ✓ $0.124$ $0$ $1.55080$ Modular form 525.1.be.a.68.1
2-525-105.74-c0-0-0 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.74 $0.0$ 0 ✓ ✓ $0.167$ $0$ $1.94263$ Modular form 525.1.p.a.74.1
2-525-105.74-c0-0-1 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.74 $0.0$ 0 ✓ ✓ $0.0196$ $0$ $2.15564$ Modular form 525.1.p.a.74.2
2-525-105.83-c0-0-0 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.83 $0.0$ 0 ✓ ✓ $0.161$ $0$ $1.98391$ Modular form 525.1.k.a.293.1
2-525-105.83-c0-0-1 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.83 $0.0$ 0 ✓ ✓ $0.161$ $0$ $2.42039$ Modular form 525.1.k.a.293.2
2-525-21.11-c0-0-0 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 21.11 $0.0$ 0 ✓ ✓ $-0.406$ $0$ $0.680744$ Artin representation 2.525.6t5.c.b Modular form 525.1.u.a.326.1
2-525-21.11-c0-0-1 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 21.11 $0.0$ 0 ✓ ✓ $0.0934$ $0$ $1.95026$ Artin representation 2.525.12t18.b.b Modular form 525.1.u.b.326.1
2-525-21.2-c0-0-0 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 21.2 $0.0$ 0 ✓ ✓ $-0.0934$ $0$ $1.51510$ Artin representation 2.525.12t18.b.a Modular form 525.1.u.b.401.1
2-525-21.2-c0-0-1 $0.511$ $0.262$ $2$ $3 \cdot 5^{2} \cdot 7$ 21.2 $0.0$ 0 ✓ ✓ $0.406$ $0$ $2.79166$ Artin representation 2.525.6t5.c.a Modular form 525.1.u.a.401.1
2-525-1.1-c1-0-0 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.799153$ Modular form 525.2.a.k.1.1
2-525-1.1-c1-0-1 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.956151$ Modular form 525.2.a.k.1.2
2-525-1.1-c1-0-10 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.70229$ Elliptic curve 525.a Modular form 525.2.a.a Modular form 525.2.a.a.1.1
2-525-1.1-c1-0-11 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.85382$ Modular form 525.2.a.e.1.2
2-525-1.1-c1-0-12 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.85573$ Modular form 525.2.a.j.1.3
2-525-1.1-c1-0-13 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.89682$ Modular form 525.2.a.k.1.3
2-525-1.1-c1-0-14 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.00819$ Modular form 525.2.a.g.1.2
2-525-1.1-c1-0-15 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.07938$ Elliptic curve 525.b Modular form 525.2.a.b Modular form 525.2.a.b.1.1
2-525-1.1-c1-0-16 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.08974$ Modular form 525.2.a.h.1.2
2-525-1.1-c1-0-17 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.34586$ Modular form 525.2.a.i.1.2
2-525-1.1-c1-0-18 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.35069$ Elliptic curve 525.c Modular form 525.2.a.c Modular form 525.2.a.c.1.1
2-525-1.1-c1-0-19 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.50889$ Modular form 525.2.a.f.1.2
2-525-1.1-c1-0-2 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.05542$ Modular form 525.2.a.g.1.1
2-525-1.1-c1-0-3 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.12404$ Modular form 525.2.a.h.1.1
2-525-1.1-c1-0-4 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.14951$ Modular form 525.2.a.j.1.1
2-525-1.1-c1-0-5 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.19446$ Elliptic curve 525.d Modular form 525.2.a.d Modular form 525.2.a.d.1.1
2-525-1.1-c1-0-6 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.22392$ Modular form 525.2.a.j.1.2
2-525-1.1-c1-0-7 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.28856$ Modular form 525.2.a.i.1.1
2-525-1.1-c1-0-8 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.58434$ Modular form 525.2.a.f.1.1
2-525-1.1-c1-0-9 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.61921$ Modular form 525.2.a.e.1.1
2-525-105.104-c1-0-0 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.104 $1.0$ $1$ ✓ ✓ $0.415$ $0$ $0.0302408$ Modular form 525.2.g.f.524.10
2-525-105.104-c1-0-1 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.104 $1.0$ $1$ ✓ ✓ $-0.312$ $0$ $0.294226$ Modular form 525.2.g.c.524.2
2-525-105.104-c1-0-10 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.104 $1.0$ $1$ ✓ ✓ $-0.340$ $0$ $0.667975$ Modular form 525.2.g.e.524.6
2-525-105.104-c1-0-11 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.104 $1.0$ $1$ ✓ ✓ $-0.267$ $0$ $0.790496$ Modular form 525.2.g.f.524.8
2-525-105.104-c1-0-12 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.104 $1.0$ $1$ ✓ ✓ $-0.0673$ $0$ $0.838721$ Modular form 525.2.g.d.524.5
2-525-105.104-c1-0-13 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.104 $1.0$ $1$ ✓ ✓ $-0.291$ $0$ $0.888731$ Modular form 525.2.g.f.524.12
2-525-105.104-c1-0-14 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.104 $1.0$ $1$ ✓ ✓ $-0.0861$ $0$ $0.912775$ Modular form 525.2.g.f.524.2
2-525-105.104-c1-0-15 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.104 $1.0$ $1$ ✓ ✓ $0.0861$ $0$ $0.957227$ Modular form 525.2.g.f.524.1
2-525-105.104-c1-0-16 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.104 $1.0$ $1$ ✓ ✓ $-0.123$ $0$ $1.02685$ Modular form 525.2.g.a.524.4
2-525-105.104-c1-0-17 $2.04$ $4.19$ $2$ $3 \cdot 5^{2} \cdot 7$ 105.104 $1.0$ $1$ ✓ ✓ $0.253$ $0$ $1.14983$ Modular form 525.2.g.e.524.1
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