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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
2-684-19.10-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.10 $$ $0.0$ $0$ $0.0796$ $0$ $1.86105$ Modular form 684.1.bx.a.181.1
2-684-19.13-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.13 $$ $0.0$ $0$ $-0.166$ $0$ $1.02671$ Modular form 684.1.bx.a.469.1
2-684-19.14-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.14 $$ $0.0$ $0$ $-0.0191$ $0$ $1.49219$ Modular form 684.1.bx.a.109.1
2-684-19.15-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.15 $$ $0.0$ $0$ $0.0191$ $0$ $1.60769$ Modular form 684.1.bx.a.433.1
2-684-19.18-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.18 $$ $0.0$ $0$ $0$ $0$ $1.37889$ Modular form 684.1.h.b.37.1
2-684-19.18-c0-0-1 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.18 $$ $0.0$ $0$ $0$ $0$ $1.62495$ Artin representation 2.684.6t3.b Artin representation 2.684.6t3.b.a Modular form 684.1.h.a Modular form 684.1.h.a.37.1
2-684-19.18-c0-0-2 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.18 $$ $0.0$ $0$ $0$ $0$ $1.94363$ Modular form 684.1.h.b.37.2
2-684-19.2-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.2 $$ $0.0$ $0$ $-0.0796$ $0$ $1.35416$ Modular form 684.1.bx.a.325.1
2-684-19.3-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 19.3 $$ $0.0$ $0$ $0.166$ $0$ $2.05313$ Modular form 684.1.bx.a.649.1
2-684-684.391-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.391 $$ $0.0$ $0$ $-0.394$ $0$ $0.709394$ Artin representation 2.684.16t60.a.a Modular form 684.1.x.a.391.2
2-684-684.391-c0-0-1 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.391 $$ $0.0$ $0$ $0.105$ $0$ $1.57799$ Artin representation 2.684.16t60.a.d Modular form 684.1.x.a.391.1
2-684-684.463-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.463 $$ $0.0$ $0$ $0.172$ $0$ $2.09211$ Modular form 684.1.bm.a.463.2
2-684-684.463-c0-0-1 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.463 $$ $0.0$ $0$ $-0.327$ $0$ $3.38435$ Modular form 684.1.bm.a.463.1
2-684-684.619-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.619 $$ $0.0$ $0$ $0.327$ $0$ $0.141599$ Modular form 684.1.bm.a.619.1
2-684-684.619-c0-0-1 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.619 $$ $0.0$ $0$ $-0.172$ $0$ $1.61416$ Modular form 684.1.bm.a.619.2
2-684-684.7-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.7 $$ $0.0$ $0$ $-0.105$ $0$ $1.42024$ Artin representation 2.684.16t60.a.b Modular form 684.1.x.a.7.2
2-684-684.7-c0-0-1 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 684.7 $$ $0.0$ $0$ $0.394$ $0$ $2.52170$ Artin representation 2.684.16t60.a.c Modular form 684.1.x.a.7.1
2-684-76.11-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 76.11 $$ $0.0$ $0$ $-0.0338$ $0$ $0.884902$ Modular form 684.1.q.a.163.2
2-684-76.11-c0-0-1 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 76.11 $$ $0.0$ $0$ $-0.0338$ $0$ $1.35869$ Modular form 684.1.q.a.163.1
2-684-76.11-c0-0-2 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 76.11 $$ $0.0$ $0$ $-0.0338$ $0$ $1.62463$ Modular form 684.1.q.a.163.4
2-684-76.11-c0-0-3 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 76.11 $$ $0.0$ $0$ $-0.0338$ $0$ $2.15275$ Modular form 684.1.q.a.163.3
2-684-76.7-c0-0-0 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 76.7 $$ $0.0$ $0$ $0.0338$ $0$ $1.28343$ Modular form 684.1.q.a.235.3
2-684-76.7-c0-0-1 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 76.7 $$ $0.0$ $0$ $0.0338$ $0$ $1.54956$ Modular form 684.1.q.a.235.1
2-684-76.7-c0-0-2 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 76.7 $$ $0.0$ $0$ $0.0338$ $0$ $1.73012$ Modular form 684.1.q.a.235.2
2-684-76.7-c0-0-3 $0.584$ $0.341$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 76.7 $$ $0.0$ $0$ $0.0338$ $0$ $2.20776$ Modular form 684.1.q.a.235.4
2-684-1.1-c1-0-0 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 1.1 $$ $1.0$ $1$ $0$ $0$ $0.869310$ Modular form 684.2.a.d.1.1
2-684-1.1-c1-0-1 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 1.1 $$ $1.0$ $1$ $0$ $0$ $1.08481$ Modular form 684.2.a.e.1.1
2-684-1.1-c1-0-2 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 1.1 $$ $1.0$ $1$ $0$ $0$ $1.37144$ Modular form 684.2.a.d.1.2
2-684-1.1-c1-0-3 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 1.1 $$ $1.0$ $1$ $0$ $0$ $1.43616$ Elliptic curve 684.c Modular form 684.2.a.c Modular form 684.2.a.c.1.1
2-684-1.1-c1-0-4 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 1.1 $$ $1.0$ $1$ $0$ $0$ $1.49319$ Modular form 684.2.a.e.1.2
2-684-1.1-c1-0-5 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 1.1 $$ $1.0$ $1$ $0.5$ $1$ $2.07210$ Elliptic curve 684.a Modular form 684.2.a.a Modular form 684.2.a.a.1.1
2-684-1.1-c1-0-6 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 1.1 $$ $1.0$ $1$ $0.5$ $1$ $2.25610$ Elliptic curve 684.b Modular form 684.2.a.b Modular form 684.2.a.b.1.1
2-684-12.11-c1-0-0 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $-0.453$ $0$ $0.0251260$ Modular form 684.2.c.b.647.2
2-684-12.11-c1-0-1 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $-0.219$ $0$ $0.145028$ Modular form 684.2.c.b.647.15
2-684-12.11-c1-0-10 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $-0.294$ $0$ $0.913089$ Modular form 684.2.c.b.647.8
2-684-12.11-c1-0-11 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $-0.337$ $0$ $0.928918$ Modular form 684.2.c.b.647.24
2-684-12.11-c1-0-12 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $0.0979$ $0$ $0.931311$ Modular form 684.2.c.a.647.2
2-684-12.11-c1-0-13 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $0.0406$ $0$ $0.992874$ Modular form 684.2.c.b.647.5
2-684-12.11-c1-0-14 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $0.0533$ $0$ $1.01210$ Modular form 684.2.c.b.647.19
2-684-12.11-c1-0-15 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $-0.263$ $0$ $1.05553$ Modular form 684.2.c.b.647.28
2-684-12.11-c1-0-16 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $-0.0406$ $0$ $1.08016$ Modular form 684.2.c.b.647.6
2-684-12.11-c1-0-17 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $-0.149$ $0$ $1.12316$ Modular form 684.2.c.b.647.31
2-684-12.11-c1-0-18 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $0.250$ $0$ $1.28533$ Modular form 684.2.c.b.647.13
2-684-12.11-c1-0-19 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $-0.0979$ $0$ $1.28598$ Modular form 684.2.c.a.647.3
2-684-12.11-c1-0-2 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $0.402$ $0$ $0.397374$ Modular form 684.2.c.a.647.4
2-684-12.11-c1-0-20 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $0.0806$ $0$ $1.40907$ Modular form 684.2.c.b.647.12
2-684-12.11-c1-0-21 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $0.358$ $0$ $1.45745$ Modular form 684.2.c.b.647.9
2-684-12.11-c1-0-22 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $-0.0533$ $0$ $1.49278$ Modular form 684.2.c.b.647.20
2-684-12.11-c1-0-23 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $0.294$ $0$ $1.50933$ Modular form 684.2.c.b.647.7
2-684-12.11-c1-0-24 $2.33$ $5.46$ $2$ $2^{2} \cdot 3^{2} \cdot 19$ 12.11 $$ $1.0$ $1$ $0.0196$ $0$ $1.52219$ Modular form 684.2.c.b.647.29
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