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Degree Bad \(p\) Root analytic conductor Motivic weight Spectral label
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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
2-513-171.151-c0-0-0 $0.505$ $0.256$ $2$ $3^{3} \cdot 19$ 171.151 $0.0$ 0 ✓ ✓ $-0.138$ $0$ $0.810635$ Modular form 513.1.o.a.208.1
2-513-171.151-c0-0-1 $0.505$ $0.256$ $2$ $3^{3} \cdot 19$ 171.151 $0.0$ 0 ✓ ✓ $-0.138$ $0$ $1.70698$ Modular form 513.1.o.a.208.2
2-513-171.94-c0-0-0 $0.505$ $0.256$ $2$ $3^{3} \cdot 19$ 171.94 $0.0$ 0 ✓ ✓ $0.138$ $0$ $2.10393$ Modular form 513.1.o.a.37.1
2-513-171.94-c0-0-1 $0.505$ $0.256$ $2$ $3^{3} \cdot 19$ 171.94 $0.0$ 0 ✓ ✓ $0.138$ $0$ $2.35613$ Modular form 513.1.o.a.37.2
2-513-19.10-c0-0-0 $0.505$ $0.256$ $2$ $3^{3} \cdot 19$ 19.10 $0.0$ 0 ✓ ✓ $-0.281$ $0$ $0.720923$ Modular form 513.1.br.a.352.1
2-513-19.13-c0-0-0 $0.505$ $0.256$ $2$ $3^{3} \cdot 19$ 19.13 $0.0$ 0 ✓ ✓ $0.138$ $0$ $2.18000$ Modular form 513.1.br.a.298.1
2-513-19.14-c0-0-0 $0.505$ $0.256$ $2$ $3^{3} \cdot 19$ 19.14 $0.0$ 0 ✓ ✓ $0.00861$ $0$ $1.83064$ Modular form 513.1.br.a.109.1
2-513-19.15-c0-0-0 $0.505$ $0.256$ $2$ $3^{3} \cdot 19$ 19.15 $0.0$ 0 ✓ ✓ $-0.00861$ $0$ $1.97814$ Modular form 513.1.br.a.433.1
2-513-19.2-c0-0-0 $0.505$ $0.256$ $2$ $3^{3} \cdot 19$ 19.2 $0.0$ 0 ✓ ✓ $0.281$ $0$ $2.38807$ Modular form 513.1.br.a.325.1
2-513-19.3-c0-0-0 $0.505$ $0.256$ $2$ $3^{3} \cdot 19$ 19.3 $0.0$ 0 ✓ ✓ $-0.138$ $0$ $1.37000$ Modular form 513.1.br.a.136.1
2-513-57.17-c0-0-0 $0.505$ $0.256$ $2$ $3^{3} \cdot 19$ 57.17 $0.0$ 0 ✓ ✓ $-0.0530$ $0$ $1.34521$ Modular form 513.1.bs.a.188.1
2-513-57.23-c0-0-0 $0.505$ $0.256$ $2$ $3^{3} \cdot 19$ 57.23 $0.0$ 0 ✓ ✓ $-0.132$ $0$ $1.40448$ Modular form 513.1.bs.a.80.1
2-513-57.35-c0-0-0 $0.505$ $0.256$ $2$ $3^{3} \cdot 19$ 57.35 $0.0$ 0 ✓ ✓ $-0.113$ $0$ $1.42987$ Modular form 513.1.bs.a.377.1
2-513-57.44-c0-0-0 $0.505$ $0.256$ $2$ $3^{3} \cdot 19$ 57.44 $0.0$ 0 ✓ ✓ $0.113$ $0$ $2.02517$ Modular form 513.1.bs.a.215.1
2-513-57.47-c0-0-0 $0.505$ $0.256$ $2$ $3^{3} \cdot 19$ 57.47 $0.0$ 0 ✓ ✓ $0.0530$ $0$ $1.72204$ Modular form 513.1.bs.a.161.1
2-513-57.5-c0-0-0 $0.505$ $0.256$ $2$ $3^{3} \cdot 19$ 57.5 $0.0$ 0 ✓ ✓ $0.132$ $0$ $2.37068$ Modular form 513.1.bs.a.404.1
2-513-1.1-c1-0-0 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.692766$ Modular form 513.2.a.i.1.2
2-513-1.1-c1-0-1 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.813851$ Modular form 513.2.a.g.1.1
2-513-1.1-c1-0-10 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.79249$ Modular form 513.2.a.i.1.3
2-513-1.1-c1-0-11 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.79277$ Modular form 513.2.a.d.1.2
2-513-1.1-c1-0-12 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.80779$ Modular form 513.2.a.e.1.1
2-513-1.1-c1-0-13 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.87623$ Elliptic curve 513.a Modular form 513.2.a.a Modular form 513.2.a.a.1.1
2-513-1.1-c1-0-14 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.90219$ Modular form 513.2.a.i.1.4
2-513-1.1-c1-0-15 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.91796$ Modular form 513.2.a.f.1.3
2-513-1.1-c1-0-16 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.95408$ Modular form 513.2.a.h.1.4
2-513-1.1-c1-0-17 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.97403$ Modular form 513.2.a.c.1.1
2-513-1.1-c1-0-18 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.02528$ Modular form 513.2.a.e.1.2
2-513-1.1-c1-0-19 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.33387$ Modular form 513.2.a.g.1.3
2-513-1.1-c1-0-2 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.875623$ Modular form 513.2.a.h.1.1
2-513-1.1-c1-0-20 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.56185$ Modular form 513.2.a.d.1.3
2-513-1.1-c1-0-21 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.63703$ Elliptic curve 513.b Modular form 513.2.a.b Modular form 513.2.a.b.1.1
2-513-1.1-c1-0-22 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.91436$ Modular form 513.2.a.c.1.2
2-513-1.1-c1-0-23 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.92702$ Modular form 513.2.a.e.1.3
2-513-1.1-c1-0-3 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.16573$ Modular form 513.2.a.h.1.3
2-513-1.1-c1-0-4 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.20697$ Modular form 513.2.a.f.1.1
2-513-1.1-c1-0-5 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.30362$ Modular form 513.2.a.f.1.2
2-513-1.1-c1-0-6 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.33459$ Modular form 513.2.a.h.1.2
2-513-1.1-c1-0-7 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.38721$ Modular form 513.2.a.i.1.1
2-513-1.1-c1-0-8 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.54331$ Modular form 513.2.a.g.1.2
2-513-1.1-c1-0-9 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.63299$ Modular form 513.2.a.d.1.1
2-513-171.106-c1-0-0 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 171.106 $1.0$ $1$ ✓ ✓ $-0.214$ $0$ $0.325681$ Modular form 513.2.g.c.505.6
2-513-171.106-c1-0-1 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 171.106 $1.0$ $1$ ✓ ✓ $-0.316$ $0$ $0.391817$ Modular form 513.2.g.c.505.8
2-513-171.106-c1-0-10 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 171.106 $1.0$ $1$ ✓ ✓ $0.308$ $0$ $1.75576$ Modular form 513.2.g.b.505.1
2-513-171.106-c1-0-11 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 171.106 $1.0$ $1$ ✓ ✓ $0.0139$ $0$ $1.78187$ Modular form 513.2.g.c.505.12
2-513-171.106-c1-0-12 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 171.106 $1.0$ $1$ ✓ ✓ $-0.435$ $0$ $1.82541$ Modular form 513.2.g.c.505.3
2-513-171.106-c1-0-13 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 171.106 $1.0$ $1$ ✓ ✓ $0.0742$ $0$ $1.84311$ Modular form 513.2.g.c.505.10
2-513-171.106-c1-0-14 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 171.106 $1.0$ $1$ ✓ ✓ $0.0484$ $0$ $1.89681$ Modular form 513.2.g.c.505.9
2-513-171.106-c1-0-15 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 171.106 $1.0$ $1$ ✓ ✓ $0.466$ $0$ $1.96318$ Modular form 513.2.g.c.505.5
2-513-171.106-c1-0-16 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 171.106 $1.0$ $1$ ✓ ✓ $0.192$ $0$ $2.03767$ Modular form 513.2.g.c.505.7
2-513-171.106-c1-0-17 $2.02$ $4.09$ $2$ $3^{3} \cdot 19$ 171.106 $1.0$ $1$ ✓ ✓ $-0.321$ $1$ $2.59067$ Modular form 513.2.g.a.505.1
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