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Lowest zero Conductor Analytic conductor Central character Analytic rank
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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
2-392-1.1-c5-0-0 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.144601$ Modular form 392.6.a.l.1.2
2-392-1.1-c5-0-1 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ ✓ $0$ $0$ $0.244880$ Modular form 392.6.a.a Modular form 392.6.a.a.1.1
2-392-1.1-c5-0-10 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.584904$ Modular form 392.6.a.f.1.1
2-392-1.1-c5-0-11 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.642927$ Modular form 392.6.a.l.1.4
2-392-1.1-c5-0-12 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.689258$ Modular form 392.6.a.n.1.3
2-392-1.1-c5-0-13 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.729326$ Modular form 392.6.a.e.1.1
2-392-1.1-c5-0-14 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.740835$ Modular form 392.6.a.l.1.1
2-392-1.1-c5-0-15 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.744177$ Modular form 392.6.a.e.1.2
2-392-1.1-c5-0-16 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.834245$ Modular form 392.6.a.g.1.2
2-392-1.1-c5-0-17 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $0.863715$ Modular form 392.6.a.i.1.1
2-392-1.1-c5-0-18 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.900587$ Modular form 392.6.a.l.1.3
2-392-1.1-c5-0-19 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.935789$ Modular form 392.6.a.j.1.1
2-392-1.1-c5-0-2 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.250852$ Modular form 392.6.a.g.1.3
2-392-1.1-c5-0-20 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.968343$ Modular form 392.6.a.n.1.4
2-392-1.1-c5-0-21 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $0.985972$ Modular form 392.6.a.d.1.1
2-392-1.1-c5-0-22 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.02657$ Modular form 392.6.a.k.1.2
2-392-1.1-c5-0-23 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $1.03804$ Modular form 392.6.a.j.1.5
2-392-1.1-c5-0-24 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.06861$ Modular form 392.6.a.m.1.2
2-392-1.1-c5-0-25 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $1.08052$ Modular form 392.6.a.j.1.4
2-392-1.1-c5-0-26 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $1.09112$ Modular form 392.6.a.g.1.4
2-392-1.1-c5-0-27 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.15771$ Modular form 392.6.a.k.1.1
2-392-1.1-c5-0-28 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.18127$ Modular form 392.6.a.h.1.2
2-392-1.1-c5-0-29 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.19259$ Modular form 392.6.a.h.1.1
2-392-1.1-c5-0-3 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.339061$ Modular form 392.6.a.j.1.2
2-392-1.1-c5-0-30 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $1.20623$ Modular form 392.6.a.n.1.7
2-392-1.1-c5-0-31 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.21261$ Modular form 392.6.a.m.1.1
2-392-1.1-c5-0-32 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $1.23751$ Modular form 392.6.a.n.1.8
2-392-1.1-c5-0-33 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $1.25025$ Modular form 392.6.a.l.1.5
2-392-1.1-c5-0-34 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.34118$ Modular form 392.6.a.i.1.3
2-392-1.1-c5-0-35 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.35856$ Modular form 392.6.a.b Modular form 392.6.a.b.1.1
2-392-1.1-c5-0-36 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.40534$ Modular form 392.6.a.m.1.4
2-392-1.1-c5-0-37 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.42555$ Modular form 392.6.a.i.1.2
2-392-1.1-c5-0-38 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $1.52618$ Modular form 392.6.a.f.1.2
2-392-1.1-c5-0-39 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.53437$ Modular form 392.6.a.c Modular form 392.6.a.c.1.1
2-392-1.1-c5-0-4 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.367759$ Modular form 392.6.a.n.1.2
2-392-1.1-c5-0-40 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.57102$ Modular form 392.6.a.m.1.3
2-392-1.1-c5-0-41 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.64000$ Modular form 392.6.a.k.1.3
2-392-1.1-c5-0-42 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.64866$ Modular form 392.6.a.i.1.5
2-392-1.1-c5-0-43 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.73207$ Modular form 392.6.a.k.1.4
2-392-1.1-c5-0-44 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.75798$ Modular form 392.6.a.m.1.6
2-392-1.1-c5-0-45 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.80865$ Modular form 392.6.a.k.1.5
2-392-1.1-c5-0-46 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.80915$ Modular form 392.6.a.h.1.3
2-392-1.1-c5-0-47 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.86543$ Modular form 392.6.a.h.1.4
2-392-1.1-c5-0-48 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $1.87495$ Modular form 392.6.a.i.1.4
2-392-1.1-c5-0-49 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $2.00844$ Modular form 392.6.a.d.1.2
2-392-1.1-c5-0-5 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.386121$ Modular form 392.6.a.n.1.5
2-392-1.1-c5-0-50 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0.5$ $1$ $2.01168$ Modular form 392.6.a.m.1.5
2-392-1.1-c5-0-6 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.527642$ Modular form 392.6.a.j.1.3
2-392-1.1-c5-0-7 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.540383$ Modular form 392.6.a.g.1.1
2-392-1.1-c5-0-8 $7.92$ $62.8$ $2$ $2^{3} \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ ✓ ✓ $0$ $0$ $0.566023$ Modular form 392.6.a.n.1.6
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