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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
2-595-595.104-c0-0-0 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.104 $0.0$ 0 ✓ ✓ $-0.430$ $0$ $0.688905$ Modular form 595.1.be.a.104.1
2-595-595.104-c0-0-1 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.104 $0.0$ 0 ✓ ✓ $0.0699$ $0$ $2.29619$ Modular form 595.1.be.a.104.2
2-595-595.174-c0-0-0 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.174 $0.0$ 0 ✓ ✓ $-0.480$ $0$ $0.101438$ Modular form 595.1.u.a.174.1
2-595-595.174-c0-0-1 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.174 $0.0$ 0 ✓ ✓ $0.0194$ $0$ $1.55508$ Modular form 595.1.u.a.174.2
2-595-595.314-c0-0-0 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.314 $0.0$ 0 ✓ ✓ $-0.199$ $0$ $1.17072$ Modular form 595.1.be.a.314.1
2-595-595.314-c0-0-1 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.314 $0.0$ 0 ✓ ✓ $0.300$ $0$ $2.77602$ Modular form 595.1.be.a.314.2
2-595-595.349-c0-0-0 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.349 $0.0$ 0 ✓ ✓ $-0.0699$ $0$ $1.76564$ Modular form 595.1.be.a.349.2
2-595-595.349-c0-0-1 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.349 $0.0$ 0 ✓ ✓ $0.430$ $0$ $2.73160$ Modular form 595.1.be.a.349.1
2-595-595.489-c0-0-0 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.489 $0.0$ 0 ✓ ✓ $-0.0194$ $0$ $1.49699$ Modular form 595.1.u.a.489.2
2-595-595.489-c0-0-1 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.489 $0.0$ 0 ✓ ✓ $0.480$ $0$ $2.68968$ Modular form 595.1.u.a.489.1
2-595-595.559-c0-0-0 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.559 $0.0$ 0 ✓ ✓ $-0.300$ $0$ $1.37721$ Modular form 595.1.be.a.559.2
2-595-595.559-c0-0-1 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.559 $0.0$ 0 ✓ ✓ $0.199$ $0$ $1.98499$ Modular form 595.1.be.a.559.1
2-595-595.594-c0-0-0 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.594 $0.0$ 0 ✓ ✓ $0.349$ $0$ $0.910485$ Modular form 595.1.b.b.594.8
2-595-595.594-c0-0-1 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.594 $0.0$ 0 ✓ ✓ $0.450$ $0$ $0.972231$ Modular form 595.1.b.b.594.6
2-595-595.594-c0-0-2 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.594 $0.0$ 0 ✓ ✓ $0.149$ $0$ $1.26116$ Modular form 595.1.b.b.594.2
2-595-595.594-c0-0-3 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.594 $0.0$ 0 ✓ ✓ $-0.250$ $0$ $1.46027$ Artin representation 2.595.8t11.a.a Modular form 595.1.b.a.594.2
2-595-595.594-c0-0-4 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.594 $0.0$ 0 ✓ ✓ $0.0500$ $0$ $1.79079$ Modular form 595.1.b.b.594.4
2-595-595.594-c0-0-5 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.594 $0.0$ 0 ✓ ✓ $-0.0500$ $0$ $1.85398$ Modular form 595.1.b.b.594.5
2-595-595.594-c0-0-6 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.594 $0.0$ 0 ✓ ✓ $-0.149$ $0$ $1.88100$ Modular form 595.1.b.b.594.7
2-595-595.594-c0-0-7 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.594 $0.0$ 0 ✓ ✓ $0.250$ $0$ $2.45338$ Artin representation 2.595.8t11.a.b Modular form 595.1.b.a.594.1
2-595-595.594-c0-0-8 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.594 $0.0$ 0 ✓ ✓ $-0.450$ $0$ $3.11460$ Modular form 595.1.b.b.594.3
2-595-595.594-c0-0-9 $0.544$ $0.296$ $2$ $5 \cdot 7 \cdot 17$ 595.594 $0.0$ 0 ✓ ✓ $-0.349$ $0$ $3.18011$ Modular form 595.1.b.b.594.1
2-595-1.1-c1-0-0 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.592825$ Modular form 595.2.a.h.1.1
2-595-1.1-c1-0-1 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.605532$ Modular form 595.2.a.k.1.1
2-595-1.1-c1-0-10 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.36095$ Modular form 595.2.a.k.1.2
2-595-1.1-c1-0-11 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.36341$ Modular form 595.2.a.f.1.2
2-595-1.1-c1-0-12 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.42501$ Modular form 595.2.a.i.1.2
2-595-1.1-c1-0-13 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.44687$ Modular form 595.2.a.d.1.1
2-595-1.1-c1-0-14 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.48263$ Modular form 595.2.a.e.1.2
2-595-1.1-c1-0-15 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.51687$ Modular form 595.2.a.e.1.1
2-595-1.1-c1-0-16 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.61802$ Modular form 595.2.a.g.1.1
2-595-1.1-c1-0-17 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.78399$ Modular form 595.2.a.i.1.4
2-595-1.1-c1-0-18 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.85614$ Modular form 595.2.a.j.1.3
2-595-1.1-c1-0-19 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.97040$ Elliptic curve 595.b Modular form 595.2.a.b Modular form 595.2.a.b.1.1
2-595-1.1-c1-0-2 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.630015$ Modular form 595.2.a.j.1.1
2-595-1.1-c1-0-20 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.00764$ Modular form 595.2.a.f.1.1
2-595-1.1-c1-0-21 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.01235$ Modular form 595.2.a.d.1.2
2-595-1.1-c1-0-22 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.08654$ Modular form 595.2.a.d.1.3
2-595-1.1-c1-0-23 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.11034$ Modular form 595.2.a.j.1.4
2-595-1.1-c1-0-24 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $2.13087$ Elliptic curve 595.c Modular form 595.2.a.c Modular form 595.2.a.c.1.1
2-595-1.1-c1-0-25 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.28832$ Modular form 595.2.a.k.1.5
2-595-1.1-c1-0-26 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.29214$ Modular form 595.2.a.g.1.2
2-595-1.1-c1-0-27 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.44631$ Modular form 595.2.a.h.1.3
2-595-1.1-c1-0-28 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.50351$ Modular form 595.2.a.f.1.3
2-595-1.1-c1-0-29 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.54142$ Modular form 595.2.a.e.1.3
2-595-1.1-c1-0-3 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.805189$ Modular form 595.2.a.h.1.2
2-595-1.1-c1-0-30 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.57446$ Modular form 595.2.a.g.1.3
2-595-1.1-c1-0-4 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.878388$ Modular form 595.2.a.i.1.3
2-595-1.1-c1-0-5 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.932778$ Modular form 595.2.a.k.1.3
2-595-1.1-c1-0-6 $2.17$ $4.75$ $2$ $5 \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.964027$ Modular form 595.2.a.i.1.1
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