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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 |