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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
2-208-1.1-c3-0-0 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.267455$ Modular form 208.4.a.i.1.1
2-208-1.1-c3-0-1 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ ✓ $0$ $0$ $0.621264$ Modular form 208.4.a.b Modular form 208.4.a.b.1.1
2-208-1.1-c3-0-10 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.78251$ Modular form 208.4.a.i.1.2
2-208-1.1-c3-0-11 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.79558$ Modular form 208.4.a.k.1.2
2-208-1.1-c3-0-12 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.05394$ Modular form 208.4.a.c Modular form 208.4.a.c.1.1
2-208-1.1-c3-0-13 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.06301$ Modular form 208.4.a.d Modular form 208.4.a.d.1.1
2-208-1.1-c3-0-14 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.25372$ Modular form 208.4.a.l.1.2
2-208-1.1-c3-0-15 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.26598$ Modular form 208.4.a.f Modular form 208.4.a.f.1.1
2-208-1.1-c3-0-16 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.48470$ Modular form 208.4.a.h.1.2
2-208-1.1-c3-0-17 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.61448$ Modular form 208.4.a.l.1.3
2-208-1.1-c3-0-2 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.855680$ Modular form 208.4.a.j.1.1
2-208-1.1-c3-0-3 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.860053$ Modular form 208.4.a.k.1.1
2-208-1.1-c3-0-4 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ ✓ $0$ $0$ $1.12614$ Modular form 208.4.a.a Modular form 208.4.a.a.1.1
2-208-1.1-c3-0-5 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ ✓ $0$ $0$ $1.43112$ Modular form 208.4.a.g Modular form 208.4.a.g.1.1
2-208-1.1-c3-0-6 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ ✓ $0$ $0$ $1.51452$ Modular form 208.4.a.e Modular form 208.4.a.e.1.1
2-208-1.1-c3-0-7 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.59955$ Modular form 208.4.a.j.1.2
2-208-1.1-c3-0-8 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.66305$ Modular form 208.4.a.h.1.1
2-208-1.1-c3-0-9 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.69611$ Modular form 208.4.a.l.1.1
2-208-13.10-c3-0-0 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $-0.475$ $0$ $0.133784$ Modular form 208.4.w.d.49.2
2-208-13.10-c3-0-1 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $0.460$ $0$ $0.258159$ Modular form 208.4.w.d.49.4
2-208-13.10-c3-0-10 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $-0.345$ $0$ $1.23351$ Modular form 208.4.w.c.49.4
2-208-13.10-c3-0-11 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $0.258$ $0$ $1.40074$ Modular form 208.4.w.e.49.2
2-208-13.10-c3-0-12 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $0.00138$ $0$ $1.46724$ Modular form 208.4.w.d.49.3
2-208-13.10-c3-0-13 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $0.252$ $0$ $1.53020$ Modular form 208.4.w.d.49.1
2-208-13.10-c3-0-14 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $0.0709$ $0$ $1.63685$ Modular form 208.4.w.e.49.8
2-208-13.10-c3-0-15 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $0.205$ $0$ $1.65670$ Modular form 208.4.w.e.49.6
2-208-13.10-c3-0-16 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $0.334$ $0$ $1.86569$ Modular form 208.4.w.e.49.3
2-208-13.10-c3-0-17 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $0.379$ $0$ $2.17588$ Modular form 208.4.w.c.49.3
2-208-13.10-c3-0-18 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $-0.422$ $0$ $2.54414$ Modular form 208.4.w.e.49.4
2-208-13.10-c3-0-19 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $-0.376$ $0$ $2.69535$ Modular form 208.4.w.a.49.1
2-208-13.10-c3-0-2 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $-0.192$ $0$ $0.276430$ Modular form 208.4.w.e.49.1
2-208-13.10-c3-0-3 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $-0.0654$ $0$ $0.524071$ Modular form 208.4.w.c.49.1
2-208-13.10-c3-0-4 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $-0.453$ $0$ $0.644048$ Modular form 208.4.w.e.49.9
2-208-13.10-c3-0-5 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $-0.340$ $0$ $0.798439$ Modular form 208.4.w.e.49.10
2-208-13.10-c3-0-6 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $-0.277$ $0$ $0.953696$ Modular form 208.4.w.e.49.7
2-208-13.10-c3-0-7 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $-0.0977$ $0$ $1.03671$ Modular form 208.4.w.e.49.5
2-208-13.10-c3-0-8 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $-0.119$ $0$ $1.04631$ Modular form 208.4.w.b.49.1
2-208-13.10-c3-0-9 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.10 $$ $3.0$ $3$ ✓ ✓ $0.0396$ $0$ $1.16463$ Modular form 208.4.w.c.49.2
2-208-13.12-c3-0-0 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.12 $$ $3.0$ $3$ ✓ ✓ $-0.316$ $0$ $0.147191$ Modular form 208.4.f.e.129.2
2-208-13.12-c3-0-1 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.12 $$ $3.0$ $3$ ✓ ✓ $0.458$ $0$ $0.154000$ Modular form 208.4.f.e.129.6
2-208-13.12-c3-0-10 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.12 $$ $3.0$ $3$ ✓ ✓ $-0.179$ $0$ $1.16693$ Modular form 208.4.f.d.129.4
2-208-13.12-c3-0-11 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.12 $$ $3.0$ $3$ ✓ ✓ $0.316$ $0$ $1.17618$ Modular form 208.4.f.e.129.1
2-208-13.12-c3-0-12 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.12 $$ $3.0$ $3$ ✓ ✓ $-0.106$ $0$ $1.24465$ Modular form 208.4.f.e.129.10
2-208-13.12-c3-0-13 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.12 $$ $3.0$ $3$ ✓ ✓ $0.106$ $0$ $1.84011$ Modular form 208.4.f.e.129.9
2-208-13.12-c3-0-14 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.12 $$ $3.0$ $3$ ✓ ✓ $0.205$ $0$ $1.89353$ Modular form 208.4.f.c.129.2
2-208-13.12-c3-0-15 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.12 $$ $3.0$ $3$ ✓ ✓ $0.343$ $0$ $1.96302$ Modular form 208.4.f.b.129.1
2-208-13.12-c3-0-16 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.12 $$ $3.0$ $3$ ✓ ✓ $0.179$ $0$ $2.25104$ Modular form 208.4.f.d.129.3
2-208-13.12-c3-0-17 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.12 $$ $3.0$ $3$ ✓ ✓ $-0.426$ $0$ $2.27438$ Modular form 208.4.f.a.129.1
2-208-13.12-c3-0-18 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.12 $$ $3.0$ $3$ ✓ ✓ $0.356$ $0$ $2.34415$ Modular form 208.4.f.e.129.7
2-208-13.12-c3-0-19 $3.50$ $12.2$ $2$ $2^{4} \cdot 13$ 13.12 $$ $3.0$ $3$ ✓ ✓ $-0.458$ $0$ $2.55115$ Modular form 208.4.f.e.129.5
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