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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
2-616-1.1-c1-0-0 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.749121$ Modular form 616.2.a.g.1.1
2-616-1.1-c1-0-1 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.905390$ Modular form 616.2.a.h.1.2
2-616-1.1-c1-0-10 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.00157$ Elliptic curve 616.b Modular form 616.2.a.b Modular form 616.2.a.b.1.1
2-616-1.1-c1-0-11 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.14777$ Elliptic curve 616.c Modular form 616.2.a.c Modular form 616.2.a.c.1.1
2-616-1.1-c1-0-12 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.27748$ Elliptic curve 616.d Modular form 616.2.a.d Modular form 616.2.a.d.1.1
2-616-1.1-c1-0-13 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.39887$ Modular form 616.2.a.f.1.2
2-616-1.1-c1-0-2 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.03047$ Modular form 616.2.a.h.1.1
2-616-1.1-c1-0-3 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.08576$ Elliptic curve 616.a Modular form 616.2.a.a Modular form 616.2.a.a.1.1
2-616-1.1-c1-0-4 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.34198$ Modular form 616.2.a.g.1.2
2-616-1.1-c1-0-5 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.65268$ Modular form 616.2.a.h.1.3
2-616-1.1-c1-0-6 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.66644$ Elliptic curve 616.e Modular form 616.2.a.e Modular form 616.2.a.e.1.1
2-616-1.1-c1-0-7 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.72647$ Modular form 616.2.a.h.1.4
2-616-1.1-c1-0-8 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.77691$ Modular form 616.2.a.f.1.1
2-616-1.1-c1-0-9 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.96478$ Modular form 616.2.a.g.1.3
2-616-11.3-c1-0-0 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $-0.238$ $0$ $0.0838820$ Modular form 616.2.r.f.113.1
2-616-11.3-c1-0-1 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $-0.471$ $0$ $0.306706$ Modular form 616.2.r.e.113.4
2-616-11.3-c1-0-10 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $0.175$ $0$ $1.47964$ Modular form 616.2.r.e.113.2
2-616-11.3-c1-0-11 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $0.204$ $0$ $1.53160$ Modular form 616.2.r.f.113.2
2-616-11.3-c1-0-12 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $0.127$ $0$ $1.58394$ Modular form 616.2.r.d.113.3
2-616-11.3-c1-0-13 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $0.281$ $0$ $1.70195$ Modular form 616.2.r.c.113.2
2-616-11.3-c1-0-14 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $0.393$ $0$ $1.98162$ Modular form 616.2.r.f.113.3
2-616-11.3-c1-0-15 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $0.429$ $0$ $2.02930$ Modular form 616.2.r.d.113.1
2-616-11.3-c1-0-16 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $-0.402$ $0$ $2.57474$ Modular form 616.2.r.c.113.1
2-616-11.3-c1-0-17 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $-0.292$ $0$ $2.94140$ Modular form 616.2.r.e.113.1
2-616-11.3-c1-0-2 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $-0.132$ $0$ $0.913451$ Modular form 616.2.r.f.113.4
2-616-11.3-c1-0-3 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $-0.361$ $0$ $0.918575$ Modular form 616.2.r.a.113.1
2-616-11.3-c1-0-4 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $-0.294$ $0$ $1.06918$ Modular form 616.2.r.d.113.4
2-616-11.3-c1-0-5 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $-0.273$ $0$ $1.19365$ Modular form 616.2.r.f.113.5
2-616-11.3-c1-0-6 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $-0.104$ $0$ $1.28730$ Modular form 616.2.r.e.113.3
2-616-11.3-c1-0-7 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $0.0440$ $0$ $1.37337$ Modular form 616.2.r.c.113.3
2-616-11.3-c1-0-8 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $-0.0771$ $0$ $1.38212$ Modular form 616.2.r.d.113.2
2-616-11.3-c1-0-9 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.3 $1.0$ $1$ ✓ ✓ $0.0145$ $0$ $1.41113$ Modular form 616.2.r.b.113.1
2-616-11.4-c1-0-0 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $0.292$ $0$ $0.167935$ Modular form 616.2.r.e.169.1
2-616-11.4-c1-0-1 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $0.402$ $0$ $0.198109$ Modular form 616.2.r.c.169.1
2-616-11.4-c1-0-10 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $-0.0440$ $0$ $1.47193$ Modular form 616.2.r.c.169.3
2-616-11.4-c1-0-11 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $0.104$ $0$ $1.55018$ Modular form 616.2.r.e.169.3
2-616-11.4-c1-0-12 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $0.0771$ $0$ $1.60514$ Modular form 616.2.r.d.169.2
2-616-11.4-c1-0-13 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $0.238$ $0$ $1.66591$ Modular form 616.2.r.f.169.1
2-616-11.4-c1-0-14 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $0.294$ $0$ $2.07800$ Modular form 616.2.r.d.169.4
2-616-11.4-c1-0-15 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $0.273$ $0$ $2.09407$ Modular form 616.2.r.f.169.5
2-616-11.4-c1-0-16 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $0.361$ $0$ $2.27113$ Modular form 616.2.r.a.169.1
2-616-11.4-c1-0-17 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $0.471$ $0$ $2.27489$ Modular form 616.2.r.e.169.4
2-616-11.4-c1-0-2 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $-0.393$ $0$ $0.392033$ Modular form 616.2.r.f.169.3
2-616-11.4-c1-0-3 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $-0.429$ $0$ $0.632881$ Modular form 616.2.r.d.169.1
2-616-11.4-c1-0-4 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $-0.127$ $0$ $0.794607$ Modular form 616.2.r.d.169.3
2-616-11.4-c1-0-5 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $-0.281$ $0$ $0.814573$ Modular form 616.2.r.c.169.2
2-616-11.4-c1-0-6 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $-0.175$ $0$ $0.900690$ Modular form 616.2.r.e.169.2
2-616-11.4-c1-0-7 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $-0.204$ $0$ $0.979011$ Modular form 616.2.r.f.169.2
2-616-11.4-c1-0-8 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $-0.0145$ $0$ $1.08848$ Modular form 616.2.r.b.169.1
2-616-11.4-c1-0-9 $2.21$ $4.91$ $2$ $2^{3} \cdot 7 \cdot 11$ 11.4 $1.0$ $1$ ✓ ✓ $0.132$ $0$ $1.32246$ Modular form 616.2.r.f.169.4
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