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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2-504-168.83-c0-0-0 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 168.83 | $0.0$ | 0 | ✓ | ✓ | $-0.0270$ | $0$ | $1.11445$ | Modular form 504.1.e.a.251.1 | |||
| 2-504-168.83-c0-0-1 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 168.83 | $0.0$ | 0 | ✓ | ✓ | $-0.222$ | $0$ | $1.56974$ | Modular form 504.1.e.a.251.4 | |||
| 2-504-168.83-c0-0-2 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 168.83 | $0.0$ | 0 | ✓ | ✓ | $0.0270$ | $0$ | $1.84942$ | Modular form 504.1.e.a.251.2 | |||
| 2-504-168.83-c0-0-3 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 168.83 | $0.0$ | 0 | ✓ | ✓ | $0.222$ | $0$ | $2.55031$ | Modular form 504.1.e.a.251.3 | |||
| 2-504-21.11-c0-0-0 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 21.11 | $0.0$ | 0 | ✓ | ✓ | $-0.171$ | $0$ | $1.08160$ | Modular form 504.1.cu.a.305.1 | |||
| 2-504-21.11-c0-0-1 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 21.11 | $0.0$ | 0 | ✓ | ✓ | $0.0247$ | $0$ | $1.96149$ | Modular form 504.1.cu.a.305.2 | |||
| 2-504-21.2-c0-0-0 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 21.2 | $0.0$ | 0 | ✓ | ✓ | $-0.0247$ | $0$ | $1.82436$ | Modular form 504.1.cu.a.233.2 | |||
| 2-504-21.2-c0-0-1 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 21.2 | $0.0$ | 0 | ✓ | ✓ | $0.171$ | $0$ | $2.13280$ | Modular form 504.1.cu.a.233.1 | |||
| 2-504-504.13-c0-0-0 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 504.13 | $0.0$ | 0 | ✓ | ✓ | $-0.277$ | $0$ | $1.12822$ | Modular form 504.1.bn.c.13.1 | |||
| 2-504-504.13-c0-0-1 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 504.13 | $0.0$ | 0 | ✓ | ✓ | $0.222$ | $0$ | $1.38591$ | Modular form 504.1.bn.a.13.1 | |||
| 2-504-504.13-c0-0-2 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 504.13 | $0.0$ | 0 | ✓ | ✓ | $-0.277$ | $0$ | $1.70101$ | Modular form 504.1.bn.c.13.2 | |||
| 2-504-504.13-c0-0-3 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 504.13 | $0.0$ | 0 | ✓ | ✓ | $0.222$ | $0$ | $2.24204$ | Artin representation 2.504.6t5.b.a Modular form 504.1.bn.b.13.1 | |||
| 2-504-504.331-c0-0-0 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 504.331 | $0.0$ | 0 | ✓ | ✓ | $0.184$ | $0$ | $2.52439$ | Modular form 504.1.ba.a.331.1 | |||
| 2-504-504.331-c0-0-1 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 504.331 | $0.0$ | 0 | ✓ | ✓ | $0.184$ | $0$ | $2.65695$ | Modular form 504.1.ba.a.331.2 | |||
| 2-504-504.349-c0-0-0 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 504.349 | $0.0$ | 0 | ✓ | ✓ | $-0.222$ | $0$ | $0.881950$ | Modular form 504.1.bn.a.349.1 | |||
| 2-504-504.349-c0-0-1 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 504.349 | $0.0$ | 0 | ✓ | ✓ | $-0.222$ | $0$ | $1.55295$ | Artin representation 2.504.6t5.b.b Modular form 504.1.bn.b.349.1 | |||
| 2-504-504.349-c0-0-2 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 504.349 | $0.0$ | 0 | ✓ | ✓ | $0.277$ | $0$ | $2.43267$ | Modular form 504.1.bn.c.349.1 | |||
| 2-504-504.349-c0-0-3 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 504.349 | $0.0$ | 0 | ✓ | ✓ | $0.277$ | $0$ | $2.61924$ | Modular form 504.1.bn.c.349.2 | |||
| 2-504-504.403-c0-0-0 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 504.403 | $0.0$ | 0 | ✓ | ✓ | $0.0378$ | $0$ | $1.11802$ | Modular form 504.1.ce.a.403.1 | |||
| 2-504-504.403-c0-0-1 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 504.403 | $0.0$ | 0 | ✓ | ✓ | $0.0378$ | $0$ | $1.66288$ | Modular form 504.1.ce.a.403.2 | |||
| 2-504-504.499-c0-0-0 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 504.499 | $0.0$ | 0 | ✓ | ✓ | $-0.0378$ | $0$ | $0.765881$ | Modular form 504.1.ce.a.499.1 | |||
| 2-504-504.499-c0-0-1 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 504.499 | $0.0$ | 0 | ✓ | ✓ | $-0.0378$ | $0$ | $1.78811$ | Modular form 504.1.ce.a.499.2 | |||
| 2-504-504.67-c0-0-0 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 504.67 | $0.0$ | 0 | ✓ | ✓ | $-0.184$ | $0$ | $1.20648$ | Modular form 504.1.ba.a.67.1 | |||
| 2-504-504.67-c0-0-1 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 504.67 | $0.0$ | 0 | ✓ | ✓ | $-0.184$ | $0$ | $1.95492$ | Modular form 504.1.ba.a.67.2 | |||
| 2-504-56.13-c0-0-0 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 56.13 | $0.0$ | 0 | ✓ | ✓ | $-0.250$ | $0$ | $1.34936$ | Artin representation 2.504.8t11.a.a Modular form 504.1.l.b.181.2 | |||
| 2-504-56.13-c0-0-1 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 56.13 | $0.0$ | 0 | ✓ | ✓ | $0.250$ | $0$ | $1.98369$ | Artin representation 2.504.8t11.a.b Modular form 504.1.l.b.181.1 | |||
| 2-504-56.13-c0-0-2 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 56.13 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.15848$ | Artin representation 2.504.4t3.a Artin representation 2.504.4t3.a.a Modular form 504.1.l.a Modular form 504.1.l.a.181.1 | |
| 2-504-56.45-c0-0-0 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 56.45 | $0.0$ | 0 | ✓ | ✓ | $-0.270$ | $0$ | $1.08449$ | Modular form 504.1.bw.a.325.1 | |||
| 2-504-56.45-c0-0-1 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 56.45 | $0.0$ | 0 | ✓ | ✓ | $0.229$ | $0$ | $2.79665$ | Modular form 504.1.bw.a.325.2 | |||
| 2-504-56.5-c0-0-0 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 56.5 | $0.0$ | 0 | ✓ | ✓ | $-0.229$ | $0$ | $1.45716$ | Modular form 504.1.bw.a.397.2 | |||
| 2-504-56.5-c0-0-1 | $0.501$ | $0.251$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 56.5 | $0.0$ | 0 | ✓ | ✓ | $0.270$ | $0$ | $2.26243$ | Modular form 504.1.bw.a.397.1 | |||
| 2-504-1.1-c1-0-0 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.15037$ | Elliptic curve 504.c Modular form 504.2.a.c Modular form 504.2.a.c.1.1 | |
| 2-504-1.1-c1-0-1 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.18803$ | Elliptic curve 504.e Modular form 504.2.a.e Modular form 504.2.a.e.1.1 | |
| 2-504-1.1-c1-0-2 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.38744$ | Elliptic curve 504.f Modular form 504.2.a.f Modular form 504.2.a.f.1.1 | |
| 2-504-1.1-c1-0-3 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.45089$ | Elliptic curve 504.g Modular form 504.2.a.g Modular form 504.2.a.g.1.1 | |
| 2-504-1.1-c1-0-4 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.58802$ | Elliptic curve 504.h Modular form 504.2.a.h Modular form 504.2.a.h.1.1 | |
| 2-504-1.1-c1-0-5 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.26970$ | Elliptic curve 504.a Modular form 504.2.a.a Modular form 504.2.a.a.1.1 | |
| 2-504-1.1-c1-0-6 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.27244$ | Elliptic curve 504.b Modular form 504.2.a.b Modular form 504.2.a.b.1.1 | |
| 2-504-1.1-c1-0-7 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.31566$ | Elliptic curve 504.d Modular form 504.2.a.d Modular form 504.2.a.d.1.1 | |
| 2-504-168.101-c1-0-0 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 168.101 | $1.0$ | $1$ | ✓ | ✓ | $-0.266$ | $0$ | $0.249929$ | Modular form 504.2.ch.b.269.21 | |||
| 2-504-168.101-c1-0-1 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 168.101 | $1.0$ | $1$ | ✓ | ✓ | $-0.207$ | $0$ | $0.253185$ | Modular form 504.2.ch.b.269.14 | |||
| 2-504-168.101-c1-0-10 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 168.101 | $1.0$ | $1$ | ✓ | ✓ | $0.103$ | $0$ | $1.07876$ | Modular form 504.2.ch.b.269.5 | |||
| 2-504-168.101-c1-0-11 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 168.101 | $1.0$ | $1$ | ✓ | ✓ | $-0.220$ | $0$ | $1.15665$ | Modular form 504.2.ch.b.269.13 | |||
| 2-504-168.101-c1-0-12 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 168.101 | $1.0$ | $1$ | ✓ | ✓ | $-0.00453$ | $0$ | $1.15987$ | Modular form 504.2.ch.a.269.1 | |||
| 2-504-168.101-c1-0-13 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 168.101 | $1.0$ | $1$ | ✓ | ✓ | $-0.0705$ | $0$ | $1.31648$ | Modular form 504.2.ch.b.269.8 | |||
| 2-504-168.101-c1-0-14 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 168.101 | $1.0$ | $1$ | ✓ | ✓ | $0.273$ | $0$ | $1.32179$ | Modular form 504.2.ch.b.269.3 | |||
| 2-504-168.101-c1-0-15 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 168.101 | $1.0$ | $1$ | ✓ | ✓ | $-0.117$ | $0$ | $1.33941$ | Modular form 504.2.ch.b.269.27 | |||
| 2-504-168.101-c1-0-16 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 168.101 | $1.0$ | $1$ | ✓ | ✓ | $0.283$ | $0$ | $1.38730$ | Modular form 504.2.ch.b.269.11 | |||
| 2-504-168.101-c1-0-17 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 168.101 | $1.0$ | $1$ | ✓ | ✓ | $-0.00453$ | $0$ | $1.48164$ | Modular form 504.2.ch.a.269.2 | |||
| 2-504-168.101-c1-0-18 | $2.00$ | $4.02$ | $2$ | $2^{3} \cdot 3^{2} \cdot 7$ | 168.101 | $1.0$ | $1$ | ✓ | ✓ | $0.0783$ | $0$ | $1.48743$ | Modular form 504.2.ch.b.269.2 |