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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
2-52-52.35-c0-0-0 $0.161$ $0.0259$ $2$ $2^{2} \cdot 13$ 52.35 $$ $0.0$ $0$ $-0.123$ $0$ $3.05212$ Artin representation 2.52.6t5.b.a Modular form 52.1.j.a.35.1
2-52-52.3-c0-0-0 $0.161$ $0.0259$ $2$ $2^{2} \cdot 13$ 52.3 $$ $0.0$ $0$ $0.123$ $0$ $4.16168$ Artin representation 2.52.6t5.b.b Modular form 52.1.j.a.3.1
2-52-52.15-c1-0-0 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.15 $$ $1.0$ $1$ $-0.405$ $0$ $0.828728$ Modular form 52.2.l.b.15.1
2-52-52.11-c1-0-3 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.11 $$ $1.0$ $1$ $-0.0238$ $0$ $3.24963$ Modular form 52.2.l.b.11.4
2-52-52.11-c1-0-2 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.11 $$ $1.0$ $1$ $0.146$ $0$ $3.15574$ Modular form 52.2.l.b.11.1
2-52-13.9-c1-0-0 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 13.9 $$ $1.0$ $1$ $-0.162$ $0$ $1.93936$ Modular form 52.2.e.a.9.1
2-52-52.15-c1-0-3 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.15 $$ $1.0$ $1$ $0.122$ $0$ $3.82459$ Modular form 52.2.l.b.15.4
2-52-52.31-c1-0-0 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.31 $$ $1.0$ $1$ $-0.124$ $0$ $1.69372$ Modular form 52.2.f.b.31.2
2-52-13.4-c1-0-0 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 13.4 $$ $1.0$ $1$ $0.0426$ $0$ $3.24703$ Modular form 52.2.h.a.17.1
2-52-52.7-c1-0-2 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.7 $$ $1.0$ $1$ $-0.122$ $0$ $2.77888$ Modular form 52.2.l.b.7.4
2-52-52.7-c1-0-3 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.7 $$ $1.0$ $1$ $0.150$ $0$ $3.71660$ Modular form 52.2.l.b.7.3
2-52-13.3-c1-0-1 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 13.3 $$ $1.0$ $1$ $0.162$ $0$ $3.82123$ Modular form 52.2.e.a.29.1
2-52-13.9-c1-0-1 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 13.9 $$ $1.0$ $1$ $0.0812$ $0$ $3.76958$ Modular form 52.2.e.b.9.1
2-52-52.11-c1-0-0 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.11 $$ $1.0$ $1$ $-0.289$ $0$ $1.71285$ Modular form 52.2.l.b.11.3
2-52-13.3-c1-0-0 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 13.3 $$ $1.0$ $1$ $-0.0812$ $0$ $2.57495$ Modular form 52.2.e.b.29.1
2-52-52.7-c1-0-1 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.7 $$ $1.0$ $1$ $-0.185$ $0$ $2.57555$ Modular form 52.2.l.b.7.2
2-52-52.47-c1-0-2 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.47 $$ $1.0$ $1$ $0.0314$ $0$ $3.10943$ Modular form 52.2.f.b.47.4
2-52-52.47-c1-0-1 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.47 $$ $1.0$ $1$ $-0.109$ $0$ $3.07651$ Modular form 52.2.f.a.47.1
2-52-1.1-c1-0-0 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 1.1 $$ $1.0$ $1$ $0$ $0$ $2.88461$ Elliptic curve 52.a Modular form 52.2.a.a Modular form 52.2.a.a.1.1
2-52-52.7-c1-0-0 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.7 $$ $1.0$ $1$ $-0.0771$ $0$ $2.11364$ Modular form 52.2.l.a.7.1
2-52-52.47-c1-0-4 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.47 $$ $1.0$ $1$ $0.252$ $0$ $4.16638$ Modular form 52.2.f.b.47.3
2-52-52.19-c1-0-0 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.19 $$ $1.0$ $1$ $-0.146$ $0$ $2.14211$ Modular form 52.2.l.b.19.1
2-52-52.19-c1-0-1 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.19 $$ $1.0$ $1$ $-0.170$ $0$ $2.52657$ Modular form 52.2.l.a.19.1
2-52-13.10-c1-0-0 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 13.10 $$ $1.0$ $1$ $-0.0426$ $0$ $2.71508$ Modular form 52.2.h.a.49.1
2-52-52.31-c1-0-1 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.31 $$ $1.0$ $1$ $-0.252$ $0$ $1.99605$ Modular form 52.2.f.b.31.3
2-52-52.15-c1-0-4 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.15 $$ $1.0$ $1$ $0.185$ $0$ $3.83345$ Modular form 52.2.l.b.15.2
2-52-52.19-c1-0-4 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.19 $$ $1.0$ $1$ $0.289$ $0$ $4.65233$ Modular form 52.2.l.b.19.3
2-52-52.19-c1-0-2 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.19 $$ $1.0$ $1$ $0.0810$ $0$ $2.87863$ Modular form 52.2.l.b.19.2
2-52-52.31-c1-0-2 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.31 $$ $1.0$ $1$ $0.0962$ $0$ $2.90441$ Modular form 52.2.f.b.31.1
2-52-52.15-c1-0-1 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.15 $$ $1.0$ $1$ $0.0771$ $0$ $2.62947$ Modular form 52.2.l.a.15.1
2-52-52.11-c1-0-4 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.11 $$ $1.0$ $1$ $0.170$ $0$ $3.87521$ Modular form 52.2.l.a.11.1
2-52-52.19-c1-0-3 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.19 $$ $1.0$ $1$ $0.0238$ $0$ $3.63876$ Modular form 52.2.l.b.19.4
2-52-52.7-c1-0-4 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.7 $$ $1.0$ $1$ $0.405$ $0$ $4.37052$ Modular form 52.2.l.b.7.1
2-52-52.47-c1-0-0 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.47 $$ $1.0$ $1$ $-0.0962$ $0$ $1.86921$ Modular form 52.2.f.b.47.1
2-52-52.47-c1-0-3 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.47 $$ $1.0$ $1$ $0.124$ $0$ $3.40208$ Modular form 52.2.f.b.47.2
2-52-52.15-c1-0-2 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.15 $$ $1.0$ $1$ $-0.150$ $0$ $2.69858$ Modular form 52.2.l.b.15.3
2-52-52.31-c1-0-4 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.31 $$ $1.0$ $1$ $0.109$ $0$ $4.06032$ Modular form 52.2.f.a.31.1
2-52-52.31-c1-0-3 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.31 $$ $1.0$ $1$ $-0.0314$ $0$ $3.66063$ Modular form 52.2.f.b.31.4
2-52-52.11-c1-0-1 $0.644$ $0.415$ $2$ $2^{2} \cdot 13$ 52.11 $$ $1.0$ $1$ $-0.0810$ $0$ $2.81817$ Modular form 52.2.l.b.11.2
2-52-52.3-c2-0-3 $1.19$ $1.41$ $2$ $2^{2} \cdot 13$ 52.3 $$ $2.0$ $2$ $-0.281$ $0$ $1.54741$ Modular form 52.3.j.a.3.10
2-52-52.43-c2-0-6 $1.19$ $1.41$ $2$ $2^{2} \cdot 13$ 52.43 $$ $2.0$ $2$ $0.268$ $0$ $2.76705$ Modular form 52.3.i.a.43.1
2-52-52.3-c2-0-0 $1.19$ $1.41$ $2$ $2^{2} \cdot 13$ 52.3 $$ $2.0$ $2$ $0.471$ $0$ $0.0170077$ Modular form 52.3.j.a.3.1
2-52-52.35-c2-0-6 $1.19$ $1.41$ $2$ $2^{2} \cdot 13$ 52.35 $$ $2.0$ $2$ $-0.0506$ $0$ $2.57885$ Modular form 52.3.j.a.35.11
2-52-52.51-c2-0-7 $1.19$ $1.41$ $2$ $2^{2} \cdot 13$ 52.51 $$ $2.0$ $2$ $0$ $0$ $2.91906$ Modular form 52.3.b.b Modular form 52.3.b.b.51.1
2-52-52.51-c2-0-0 $1.19$ $1.41$ $2$ $2^{2} \cdot 13$ 52.51 $$ $2.0$ $2$ $-0.415$ $0$ $1.03070$ Modular form 52.3.b.d.51.2
2-52-52.35-c2-0-8 $1.19$ $1.41$ $2$ $2^{2} \cdot 13$ 52.35 $$ $2.0$ $2$ $0.0164$ $0$ $3.11489$ Modular form 52.3.j.a.35.12
2-52-4.3-c2-0-9 $1.19$ $1.41$ $2$ $2^{2} \cdot 13$ 4.3 $$ $2.0$ $2$ $0.0745$ $0$ $3.60376$ Modular form 52.3.c.a.27.12
2-52-13.5-c2-0-1 $1.19$ $1.41$ $2$ $2^{2} \cdot 13$ 13.5 $$ $2.0$ $2$ $0.0369$ $0$ $2.45364$ Modular form 52.3.g.a.5.2
2-52-52.35-c2-0-0 $1.19$ $1.41$ $2$ $2^{2} \cdot 13$ 52.35 $$ $2.0$ $2$ $0.413$ $0$ $0.0219827$ Modular form 52.3.j.a.35.7
2-52-4.3-c2-0-4 $1.19$ $1.41$ $2$ $2^{2} \cdot 13$ 4.3 $$ $2.0$ $2$ $-0.211$ $0$ $2.01040$ Modular form 52.3.c.a.27.10
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