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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
2-608-152.11-c0-0-0 $0.550$ $0.303$ $2$ $2^{5} \cdot 19$ 152.11 $0.0$ 0 ✓ ✓ $-0.200$ $0$ $1.12585$ Artin representation 2.608.12t18.a.a Modular form 608.1.o.a.239.1
2-608-152.123-c0-0-0 $0.550$ $0.303$ $2$ $2^{5} \cdot 19$ 152.123 $0.0$ 0 ✓ ✓ $-0.113$ $0$ $1.22935$ Modular form 608.1.bg.a.47.1
2-608-152.131-c0-0-0 $0.550$ $0.303$ $2$ $2^{5} \cdot 19$ 152.131 $0.0$ 0 ✓ ✓ $0.113$ $0$ $1.83779$ Modular form 608.1.bg.a.207.1
2-608-152.139-c0-0-0 $0.550$ $0.303$ $2$ $2^{5} \cdot 19$ 152.139 $0.0$ 0 ✓ ✓ $-0.0531$ $0$ $2.06432$ Modular form 608.1.bg.a.367.1
2-608-152.35-c0-0-0 $0.550$ $0.303$ $2$ $2^{5} \cdot 19$ 152.35 $0.0$ 0 ✓ ✓ $0.0531$ $0$ $2.13943$ Modular form 608.1.bg.a.111.1
2-608-152.37-c0-0-0 $0.550$ $0.303$ $2$ $2^{5} \cdot 19$ 152.37 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.36349$ Artin representation 2.608.6t3.c Artin representation 2.608.6t3.c.a Modular form 608.1.g.a Modular form 608.1.g.a.113.1
2-608-152.37-c0-0-1 $0.550$ $0.303$ $2$ $2^{5} \cdot 19$ 152.37 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.98006$ Artin representation 2.608.6t3.d Artin representation 2.608.6t3.d.a Modular form 608.1.g.b Modular form 608.1.g.b.113.1
2-608-152.43-c0-0-0 $0.550$ $0.303$ $2$ $2^{5} \cdot 19$ 152.43 $0.0$ 0 ✓ ✓ $0.299$ $0$ $2.57086$ Modular form 608.1.bg.a.271.1
2-608-152.83-c0-0-0 $0.550$ $0.303$ $2$ $2^{5} \cdot 19$ 152.83 $0.0$ 0 ✓ ✓ $0.200$ $0$ $1.92319$ Artin representation 2.608.12t18.a.b Modular form 608.1.o.a.463.1
2-608-152.99-c0-0-0 $0.550$ $0.303$ $2$ $2^{5} \cdot 19$ 152.99 $0.0$ 0 ✓ ✓ $-0.299$ $0$ $1.23846$ Modular form 608.1.bg.a.175.1
2-608-76.11-c0-0-0 $0.550$ $0.303$ $2$ $2^{5} \cdot 19$ 76.11 $0.0$ 0 ✓ ✓ $0.257$ $0$ $2.12173$ Modular form 608.1.q.a.543.1
2-608-76.11-c0-0-1 $0.550$ $0.303$ $2$ $2^{5} \cdot 19$ 76.11 $0.0$ 0 ✓ ✓ $0.00779$ $0$ $2.18537$ Modular form 608.1.q.a.543.2
2-608-76.7-c0-0-0 $0.550$ $0.303$ $2$ $2^{5} \cdot 19$ 76.7 $0.0$ 0 ✓ ✓ $-0.257$ $0$ $0.921356$ Modular form 608.1.q.a.159.1
2-608-76.7-c0-0-1 $0.550$ $0.303$ $2$ $2^{5} \cdot 19$ 76.7 $0.0$ 0 ✓ ✓ $-0.00779$ $0$ $1.78396$ Modular form 608.1.q.a.159.2
2-608-1.1-c1-0-0 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.457690$ Modular form 608.2.a.i.1.1
2-608-1.1-c1-0-1 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.805353$ Modular form 608.2.a.j.1.1
2-608-1.1-c1-0-10 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.71114$ Elliptic curve 608.a Modular form 608.2.a.a Modular form 608.2.a.a.1.1
2-608-1.1-c1-0-11 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.80960$ Modular form 608.2.a.g.1.1
2-608-1.1-c1-0-12 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.81046$ Modular form 608.2.a.j.1.4
2-608-1.1-c1-0-13 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.85961$ Modular form 608.2.a.h.1.2
2-608-1.1-c1-0-14 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.19568$ Elliptic curve 608.b Modular form 608.2.a.b Modular form 608.2.a.b.1.1
2-608-1.1-c1-0-15 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.24556$ Elliptic curve 608.c Modular form 608.2.a.c Modular form 608.2.a.c.1.1
2-608-1.1-c1-0-16 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.45417$ Modular form 608.2.a.g.1.2
2-608-1.1-c1-0-17 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.57940$ Elliptic curve 608.d Modular form 608.2.a.d Modular form 608.2.a.d.1.1
2-608-1.1-c1-0-2 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.896188$ Modular form 608.2.a.h.1.1
2-608-1.1-c1-0-3 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.04227$ Modular form 608.2.a.i.1.2
2-608-1.1-c1-0-4 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.28544$ Modular form 608.2.a.j.1.2
2-608-1.1-c1-0-5 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.40446$ Modular form 608.2.a.j.1.3
2-608-1.1-c1-0-6 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.50168$ Modular form 608.2.a.i.1.3
2-608-1.1-c1-0-7 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.58413$ Elliptic curve 608.e Modular form 608.2.a.e Modular form 608.2.a.e.1.1
2-608-1.1-c1-0-8 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.59563$ Modular form 608.2.a.i.1.4
2-608-1.1-c1-0-9 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.66549$ Elliptic curve 608.f Modular form 608.2.a.f Modular form 608.2.a.f.1.1
2-608-152.101-c1-0-0 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $0.396$ $0$ $0.107533$ Modular form 608.2.bf.a.177.6
2-608-152.101-c1-0-1 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $0.240$ $0$ $0.115341$ Modular form 608.2.bf.a.177.1
2-608-152.101-c1-0-10 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $-0.0223$ $0$ $1.39321$ Modular form 608.2.bf.a.177.8
2-608-152.101-c1-0-11 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $0.131$ $0$ $1.40461$ Modular form 608.2.bf.a.177.11
2-608-152.101-c1-0-12 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $0.0627$ $0$ $1.54005$ Modular form 608.2.bf.a.177.3
2-608-152.101-c1-0-13 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $0.169$ $0$ $1.68549$ Modular form 608.2.bf.a.177.14
2-608-152.101-c1-0-14 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $0.115$ $0$ $1.89855$ Modular form 608.2.bf.a.177.10
2-608-152.101-c1-0-15 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $0.293$ $0$ $2.17152$ Modular form 608.2.bf.a.177.18
2-608-152.101-c1-0-16 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $0.302$ $0$ $2.24336$ Modular form 608.2.bf.a.177.16
2-608-152.101-c1-0-17 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $0.411$ $0$ $2.24660$ Modular form 608.2.bf.a.177.17
2-608-152.101-c1-0-2 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $-0.333$ $0$ $0.116005$ Modular form 608.2.bf.a.177.15
2-608-152.101-c1-0-3 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $-0.406$ $0$ $0.452597$ Modular form 608.2.bf.a.177.5
2-608-152.101-c1-0-4 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $-0.233$ $0$ $0.581624$ Modular form 608.2.bf.a.177.12
2-608-152.101-c1-0-5 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $-0.252$ $0$ $0.582360$ Modular form 608.2.bf.a.177.9
2-608-152.101-c1-0-6 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $-0.433$ $0$ $0.584447$ Modular form 608.2.bf.a.177.2
2-608-152.101-c1-0-7 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $-0.296$ $0$ $0.699653$ Modular form 608.2.bf.a.177.7
2-608-152.101-c1-0-8 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $-0.00610$ $0$ $1.19244$ Modular form 608.2.bf.a.177.13
2-608-152.101-c1-0-9 $2.20$ $4.85$ $2$ $2^{5} \cdot 19$ 152.101 $1.0$ $1$ ✓ ✓ $-0.139$ $0$ $1.34608$ Modular form 608.2.bf.a.177.4
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