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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
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