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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
2-540-180.139-c0-0-0 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 180.139 $0.0$ 0 ✓ ✓ $-0.194$ $0$ $1.65891$ Artin representation 2.540.12t18.c.b Modular form 540.1.p.b.199.1
2-540-180.139-c0-0-1 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 180.139 $0.0$ 0 ✓ ✓ $0.305$ $0$ $2.07320$ Modular form 540.1.p.a.199.1
2-540-180.79-c0-0-0 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 180.79 $0.0$ 0 ✓ ✓ $-0.305$ $0$ $1.06818$ Modular form 540.1.p.a.19.1
2-540-180.79-c0-0-1 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 180.79 $0.0$ 0 ✓ ✓ $0.194$ $0$ $2.12142$ Artin representation 2.540.12t18.c.a Modular form 540.1.p.b.19.1
2-540-20.19-c0-0-0 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 20.19 $0.0$ 0 ✓ ✓ $-0.0833$ $0$ $1.07957$ Modular form 540.1.f.a.379.1
2-540-20.19-c0-0-1 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 20.19 $0.0$ 0 ✓ ✓ $0.0833$ $0$ $1.82218$ Modular form 540.1.f.a.379.2
2-540-20.19-c0-0-2 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 20.19 $0.0$ 0 ✓ ✓ $-0.0833$ $0$ $2.01934$ Modular form 540.1.f.a.379.4
2-540-20.19-c0-0-3 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 20.19 $0.0$ 0 ✓ ✓ $0.0833$ $0$ $2.05919$ Modular form 540.1.f.a.379.3
2-540-540.139-c0-0-0 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 540.139 $0.0$ 0 ✓ ✓ $-0.175$ $0$ $1.81140$ Modular form 540.1.bf.b.139.1
2-540-540.139-c0-0-1 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 540.139 $0.0$ 0 ✓ ✓ $0.324$ $0$ $2.27170$ Modular form 540.1.bf.a.139.1
2-540-540.259-c0-0-0 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 540.259 $0.0$ 0 ✓ ✓ $-0.324$ $0$ $0.864119$ Modular form 540.1.bf.a.259.1
2-540-540.259-c0-0-1 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 540.259 $0.0$ 0 ✓ ✓ $0.175$ $0$ $1.96842$ Modular form 540.1.bf.b.259.1
2-540-540.319-c0-0-0 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 540.319 $0.0$ 0 ✓ ✓ $-0.175$ $0$ $1.26188$ Modular form 540.1.bf.b.319.1
2-540-540.319-c0-0-1 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 540.319 $0.0$ 0 ✓ ✓ $0.324$ $0$ $2.46085$ Modular form 540.1.bf.a.319.1
2-540-540.439-c0-0-0 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 540.439 $0.0$ 0 ✓ ✓ $-0.324$ $0$ $1.09992$ Modular form 540.1.bf.a.439.1
2-540-540.439-c0-0-1 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 540.439 $0.0$ 0 ✓ ✓ $0.175$ $0$ $2.42942$ Modular form 540.1.bf.b.439.1
2-540-540.499-c0-0-0 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 540.499 $0.0$ 0 ✓ ✓ $0.157$ $0$ $1.39358$ Modular form 540.1.bf.b.499.1
2-540-540.499-c0-0-1 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 540.499 $0.0$ 0 ✓ ✓ $-0.342$ $0$ $1.42701$ Modular form 540.1.bf.a.499.1
2-540-540.79-c0-0-0 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 540.79 $0.0$ 0 ✓ ✓ $-0.157$ $0$ $1.69923$ Modular form 540.1.bf.b.79.1
2-540-540.79-c0-0-1 $0.519$ $0.269$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 540.79 $0.0$ 0 ✓ ✓ $0.342$ $0$ $2.80899$ Modular form 540.1.bf.a.79.1
2-540-1.1-c1-0-0 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.24500$ Elliptic curve 540.c Modular form 540.2.a.c Modular form 540.2.a.c.1.1
2-540-1.1-c1-0-1 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.31220$ Elliptic curve 540.e Modular form 540.2.a.e Modular form 540.2.a.e.1.1
2-540-1.1-c1-0-2 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.37424$ Elliptic curve 540.f Modular form 540.2.a.f Modular form 540.2.a.f.1.1
2-540-1.1-c1-0-3 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.23405$ Elliptic curve 540.a Modular form 540.2.a.a Modular form 540.2.a.a.1.1
2-540-1.1-c1-0-4 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.29769$ Elliptic curve 540.b Modular form 540.2.a.b Modular form 540.2.a.b.1.1
2-540-1.1-c1-0-5 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.42366$ Elliptic curve 540.d Modular form 540.2.a.d Modular form 540.2.a.d.1.1
2-540-108.11-c1-0-0 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $0.369$ $0$ $0.0185785$ Modular form 540.2.be.a.11.25
2-540-108.11-c1-0-1 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $-0.382$ $0$ $0.0356095$ Modular form 540.2.be.a.11.44
2-540-108.11-c1-0-10 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $-0.234$ $0$ $0.383242$ Modular form 540.2.be.a.11.8
2-540-108.11-c1-0-11 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $-0.190$ $0$ $0.384892$ Modular form 540.2.be.a.11.27
2-540-108.11-c1-0-12 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $-0.480$ $0$ $0.387226$ Modular form 540.2.be.a.11.1
2-540-108.11-c1-0-13 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $-0.0652$ $0$ $0.438833$ Modular form 540.2.be.a.11.10
2-540-108.11-c1-0-14 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $-0.202$ $0$ $0.440921$ Modular form 540.2.be.a.11.4
2-540-108.11-c1-0-15 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $0.444$ $0$ $0.602849$ Modular form 540.2.be.a.11.45
2-540-108.11-c1-0-16 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $0.0444$ $0$ $0.616117$ Modular form 540.2.be.a.11.36
2-540-108.11-c1-0-17 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $0.487$ $0$ $0.703176$ Modular form 540.2.be.a.11.47
2-540-108.11-c1-0-18 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $-0.403$ $0$ $0.899747$ Modular form 540.2.be.a.11.29
2-540-108.11-c1-0-19 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $-0.323$ $0$ $0.931031$ Modular form 540.2.be.a.11.34
2-540-108.11-c1-0-2 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $0.189$ $0$ $0.0501403$ Modular form 540.2.be.a.11.35
2-540-108.11-c1-0-20 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $-0.372$ $0$ $0.942354$ Modular form 540.2.be.a.11.65
2-540-108.11-c1-0-21 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $-0.163$ $0$ $1.02231$ Modular form 540.2.be.a.11.9
2-540-108.11-c1-0-22 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $0.216$ $0$ $1.07166$ Modular form 540.2.be.a.11.13
2-540-108.11-c1-0-23 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $0.0193$ $0$ $1.14203$ Modular form 540.2.be.a.11.14
2-540-108.11-c1-0-24 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $-0.219$ $0$ $1.17625$ Modular form 540.2.be.a.11.18
2-540-108.11-c1-0-25 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $0.0176$ $0$ $1.18614$ Modular form 540.2.be.a.11.3
2-540-108.11-c1-0-26 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $-0.226$ $0$ $1.21038$ Modular form 540.2.be.a.11.26
2-540-108.11-c1-0-27 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $0.0221$ $0$ $1.22390$ Modular form 540.2.be.a.11.19
2-540-108.11-c1-0-28 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $-0.219$ $0$ $1.23690$ Modular form 540.2.be.a.11.61
2-540-108.11-c1-0-29 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $0.0877$ $0$ $1.27652$ Modular form 540.2.be.a.11.33
2-540-108.11-c1-0-3 $2.07$ $4.31$ $2$ $2^{2} \cdot 3^{3} \cdot 5$ 108.11 $1.0$ $1$ ✓ ✓ $0.323$ $0$ $0.0899946$ Modular form 540.2.be.a.11.28
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