## Results (1-50 of at least 1000)

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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
2-588-147.107-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.107 $$0.0 0 0.197 0 1.81313 Modular form 588.1.z.a.401.1 2-588-147.11-c0-0-0 0.541 0.293 2 2^{2} \cdot 3 \cdot 7^{2} 147.11$$ $0.0$ $0$ $-0.197$ $0$ $0.850387$ Modular form 588.1.z.a.305.1
2-588-147.137-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.137 $$0.0 0 0.115 0 2.14655 Modular form 588.1.z.a.137.1 2-588-147.2-c0-0-0 0.541 0.293 2 2^{2} \cdot 3 \cdot 7^{2} 147.2$$ $0.0$ $0$ $0.136$ $0$ $2.06715$ Modular form 588.1.z.a.149.1
2-588-147.23-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.23 $$0.0 0 0.0816 0 2.26525 Modular form 588.1.z.a.317.1 2-588-147.32-c0-0-0 0.541 0.293 2 2^{2} \cdot 3 \cdot 7^{2} 147.32$$ $0.0$ $0$ $-0.0816$ $0$ $1.67903$ Modular form 588.1.z.a.473.1
2-588-147.44-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.44 $$0.0 0 -0.115 0 1.51278 Modular form 588.1.z.a.485.1 2-588-147.53-c0-0-0 0.541 0.293 2 2^{2} \cdot 3 \cdot 7^{2} 147.53$$ $0.0$ $0$ $0.0816$ $0$ $1.54830$ Modular form 588.1.z.a.53.1
2-588-147.65-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.65 $$0.0 0 -0.217 0 1.23546 Modular form 588.1.z.a.65.1 2-588-147.74-c0-0-0 0.541 0.293 2 2^{2} \cdot 3 \cdot 7^{2} 147.74$$ $0.0$ $0$ $-0.136$ $0$ $1.55666$ Modular form 588.1.z.a.221.1
2-588-147.86-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 147.86 $$0.0 0 -0.0816 0 1.38529 Modular form 588.1.z.a.233.1 2-588-147.95-c0-0-0 0.541 0.293 2 2^{2} \cdot 3 \cdot 7^{2} 147.95$$ $0.0$ $0$ $0.217$ $0$ $2.26339$ Modular form 588.1.z.a.389.1
2-588-21.11-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 21.11 $$0.0 0 0.146 0 2.12038 Modular form 588.1.p.a.557.1 2-588-21.2-c0-0-0 0.541 0.293 2 2^{2} \cdot 3 \cdot 7^{2} 21.2$$ $0.0$ $0$ $-0.146$ $0$ $1.47570$ Modular form 588.1.p.a.569.1
2-588-3.2-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 3.2 $$0.0 0 0 0 1.34244 Artin representation 2.588.6t3.b Artin representation 2.588.6t3.b.a Modular form 588.1.c.a Modular form 588.1.c.a.197.1 2-588-3.2-c0-0-1 0.541 0.293 2 2^{2} \cdot 3 \cdot 7^{2} 3.2$$ $0.0$ $0$ $0$ $0$ $1.93605$ Artin representation 2.588.3t2.a Artin representation 2.588.3t2.a.a Modular form 588.1.c.b Modular form 588.1.c.b.197.1
2-588-1.1-c1-0-0 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $$1.0 1 0 0 0.972099 Elliptic curve 588.a Modular form 588.2.a.a Modular form 588.2.a.a.1.1 2-588-1.1-c1-0-1 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 1.1$$ $1.0$ $1$ $0$ $0$ $1.14653$ Elliptic curve 588.d Modular form 588.2.a.d Modular form 588.2.a.d.1.1
2-588-1.1-c1-0-2 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $$1.0 1 0 0 1.51338 Elliptic curve 588.e Modular form 588.2.a.e Modular form 588.2.a.e.1.1 2-588-1.1-c1-0-3 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 1.1$$ $1.0$ $1$ $0$ $0$ $1.52796$ Elliptic curve 588.f Modular form 588.2.a.f Modular form 588.2.a.f.1.1
2-588-1.1-c1-0-4 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $$1.0 1 0.5 1 1.96358 Elliptic curve 588.b Modular form 588.2.a.b Modular form 588.2.a.b.1.1 2-588-1.1-c1-0-5 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 1.1$$ $1.0$ $1$ $0.5$ $1$ $2.08973$ Elliptic curve 588.c Modular form 588.2.a.c Modular form 588.2.a.c.1.1
2-588-12.11-c1-0-0 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $$1.0 1 0.309 0 0.0569307 Modular form 588.2.e.e.491.2 2-588-12.11-c1-0-1 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 12.11$$ $1.0$ $1$ $-0.444$ $0$ $0.117647$ Modular form 588.2.e.f.491.8
2-588-12.11-c1-0-10 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $$1.0 1 0.386 0 0.558051 Modular form 588.2.e.c.491.4 2-588-12.11-c1-0-11 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 12.11$$ $1.0$ $1$ $-0.250$ $0$ $0.634806$ Modular form 588.2.e.a.491.2
2-588-12.11-c1-0-12 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $$1.0 1 -0.154 0 0.688810 Modular form 588.2.e.d.491.4 2-588-12.11-c1-0-13 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 12.11$$ $1.0$ $1$ $-0.491$ $0$ $0.776968$ Modular form 588.2.e.f.491.16
2-588-12.11-c1-0-14 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $$1.0 1 -0.00871 0 0.783472 Modular form 588.2.e.f.491.13 2-588-12.11-c1-0-15 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 12.11$$ $1.0$ $1$ $-0.432$ $0$ $0.791298$ Modular form 588.2.e.f.491.23
2-588-12.11-c1-0-16 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $$1.0 1 -0.357 0 0.801196 Modular form 588.2.e.b.491.3 2-588-12.11-c1-0-17 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 12.11$$ $1.0$ $1$ $-0.309$ $0$ $0.802591$ Modular form 588.2.e.d.491.1
2-588-12.11-c1-0-18 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $$1.0 1 0.134 0 0.846182 Modular form 588.2.e.e.491.5 2-588-12.11-c1-0-19 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 12.11$$ $1.0$ $1$ $-0.480$ $0$ $0.859615$ Modular form 588.2.e.f.491.19
2-588-12.11-c1-0-2 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $$1.0 1 -0.223 0 0.218567 Modular form 588.2.e.b.491.5 2-588-12.11-c1-0-20 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 12.11$$ $1.0$ $1$ $-0.247$ $0$ $0.891983$ Modular form 588.2.e.e.491.10
2-588-12.11-c1-0-21 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $$1.0 1 -0.142 0 0.895249 Modular form 588.2.e.b.491.2 2-588-12.11-c1-0-22 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 12.11$$ $1.0$ $1$ $0.154$ $0$ $1.00804$ Modular form 588.2.e.d.491.3
2-588-12.11-c1-0-23 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $$1.0 1 -0.0627 0 1.01214 Modular form 588.2.e.c.491.1 2-588-12.11-c1-0-24 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 12.11$$ $1.0$ $1$ $0.0627$ $0$ $1.01323$ Modular form 588.2.e.c.491.2
2-588-12.11-c1-0-25 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $$1.0 1 -0.191 0 1.05191 Modular form 588.2.e.f.491.4 2-588-12.11-c1-0-26 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 12.11$$ $1.0$ $1$ $-0.286$ $0$ $1.11096$ Modular form 588.2.e.f.491.12
2-588-12.11-c1-0-27 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $$1.0 1 -0.134 0 1.13306 Modular form 588.2.e.d.491.6 2-588-12.11-c1-0-28 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 12.11$$ $1.0$ $1$ $-0.154$ $0$ $1.16327$ Modular form 588.2.e.e.491.4
2-588-12.11-c1-0-29 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $$1.0 1 -0.276 0 1.20357 Modular form 588.2.e.b.491.8 2-588-12.11-c1-0-3 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 12.11$$ $1.0$ $1$ $-0.439$ $0$ $0.288469$ Modular form 588.2.e.c.491.6
2-588-12.11-c1-0-30 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $$1.0 1 -0.134 0 1.20956 Modular form 588.2.e.e.491.6 2-588-12.11-c1-0-31 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 12.11$$ $1.0$ $1$ $-0.250$ $0$ $1.23397$ Modular form 588.2.e.a.491.4
2-588-12.11-c1-0-32 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 12.11 $$1.0 1 0.00871 0 1.27295 Modular form 588.2.e.f.491.15 2-588-12.11-c1-0-33 2.16 4.69 2 2^{2} \cdot 3 \cdot 7^{2} 12.11$$ $1.0$ $1$ $0.134$ $0$ $1.28383$ Modular form 588.2.e.d.491.5
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