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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2-468-117.38-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 117.38 | $0.0$ | 0 | ✓ | ✓ | $-0.138$ | $0$ | $1.57386$ | Modular form 468.1.z.a.389.1 | |||
| 2-468-117.77-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 117.77 | $0.0$ | 0 | ✓ | ✓ | $0.138$ | $0$ | $2.26548$ | Modular form 468.1.z.a.77.1 | |||
| 2-468-13.11-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 13.11 | $0.0$ | 0 | ✓ | ✓ | $-0.0894$ | $0$ | $1.43345$ | Modular form 468.1.cd.a.37.1 | |||
| 2-468-13.2-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 13.2 | $0.0$ | 0 | ✓ | ✓ | $0.00410$ | $0$ | $1.74634$ | Modular form 468.1.cd.a.145.1 | |||
| 2-468-13.6-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 13.6 | $0.0$ | 0 | ✓ | ✓ | $0.0894$ | $0$ | $2.10978$ | Modular form 468.1.cd.a.253.1 | |||
| 2-468-13.7-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 13.7 | $0.0$ | 0 | ✓ | ✓ | $-0.00410$ | $0$ | $1.71877$ | Modular form 468.1.cd.a.397.1 | |||
| 2-468-156.11-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 156.11 | $0.0$ | 0 | ✓ | ✓ | $-0.158$ | $0$ | $1.60796$ | Modular form 468.1.bx.a.323.2 | |||
| 2-468-156.11-c0-0-1 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 156.11 | $0.0$ | 0 | ✓ | ✓ | $0.145$ | $0$ | $2.04035$ | Modular form 468.1.bx.a.323.1 | |||
| 2-468-156.119-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 156.119 | $0.0$ | 0 | ✓ | ✓ | $-0.260$ | $0$ | $1.45796$ | Modular form 468.1.bx.a.431.1 | |||
| 2-468-156.119-c0-0-1 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 156.119 | $0.0$ | 0 | ✓ | ✓ | $0.435$ | $0$ | $2.98191$ | Modular form 468.1.bx.a.431.2 | |||
| 2-468-156.47-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 156.47 | $0.0$ | 0 | ✓ | ✓ | $-0.105$ | $0$ | $1.45628$ | Modular form 468.1.o.a.359.1 | |||
| 2-468-156.47-c0-0-1 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 156.47 | $0.0$ | 0 | ✓ | ✓ | $0.198$ | $0$ | $2.44527$ | Modular form 468.1.o.a.359.2 | |||
| 2-468-156.59-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 156.59 | $0.0$ | 0 | ✓ | ✓ | $-0.435$ | $0$ | $0.841174$ | Modular form 468.1.bx.a.215.2 | |||
| 2-468-156.59-c0-0-1 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 156.59 | $0.0$ | 0 | ✓ | ✓ | $0.260$ | $0$ | $2.14086$ | Modular form 468.1.bx.a.215.1 | |||
| 2-468-156.71-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 156.71 | $0.0$ | 0 | ✓ | ✓ | $-0.145$ | $0$ | $1.39392$ | Modular form 468.1.bx.a.71.1 | |||
| 2-468-156.71-c0-0-1 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 156.71 | $0.0$ | 0 | ✓ | ✓ | $0.158$ | $0$ | $2.80090$ | Modular form 468.1.bx.a.71.2 | |||
| 2-468-156.83-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 156.83 | $0.0$ | 0 | ✓ | ✓ | $0.105$ | $0$ | $1.50438$ | Modular form 468.1.o.a.395.1 | |||
| 2-468-156.83-c0-0-1 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 156.83 | $0.0$ | 0 | ✓ | ✓ | $-0.198$ | $0$ | $1.67254$ | Modular form 468.1.o.a.395.2 | |||
| 2-468-39.29-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 39.29 | $0.0$ | 0 | ✓ | ✓ | $-0.194$ | $0$ | $1.13422$ | Modular form 468.1.r.a.341.2 | |||
| 2-468-39.29-c0-0-1 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 39.29 | $0.0$ | 0 | ✓ | ✓ | $0.109$ | $0$ | $2.05943$ | Modular form 468.1.r.a.341.1 | |||
| 2-468-39.35-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 39.35 | $0.0$ | 0 | ✓ | ✓ | $-0.109$ | $0$ | $1.38452$ | Modular form 468.1.r.a.269.2 | |||
| 2-468-39.35-c0-0-1 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 39.35 | $0.0$ | 0 | ✓ | ✓ | $0.194$ | $0$ | $2.59240$ | Modular form 468.1.r.a.269.1 | |||
| 2-468-468.139-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 468.139 | $0.0$ | 0 | ✓ | ✓ | $0.0982$ | $0$ | $1.70887$ | Artin representation 2.468.16t60.a.a Modular form 468.1.y.a.139.1 | |||
| 2-468-468.139-c0-0-1 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 468.139 | $0.0$ | 0 | ✓ | ✓ | $0.0982$ | $0$ | $2.35854$ | Artin representation 2.468.16t60.a.b Modular form 468.1.y.a.139.2 | |||
| 2-468-468.211-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 468.211 | $0.0$ | 0 | ✓ | ✓ | $0.0128$ | $0$ | $1.71394$ | Modular form 468.1.v.a.211.1 | |||
| 2-468-468.211-c0-0-1 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 468.211 | $0.0$ | 0 | ✓ | ✓ | $0.0128$ | $0$ | $2.17867$ | Modular form 468.1.v.a.211.2 | |||
| 2-468-468.295-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 468.295 | $0.0$ | 0 | ✓ | ✓ | $-0.0128$ | $0$ | $1.65700$ | Modular form 468.1.v.a.295.2 | |||
| 2-468-468.295-c0-0-1 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 468.295 | $0.0$ | 0 | ✓ | ✓ | $-0.0128$ | $0$ | $1.94186$ | Modular form 468.1.v.a.295.1 | |||
| 2-468-468.367-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 468.367 | $0.0$ | 0 | ✓ | ✓ | $-0.0982$ | $0$ | $1.10013$ | Artin representation 2.468.16t60.a.d Modular form 468.1.y.a.367.1 | |||
| 2-468-468.367-c0-0-1 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 468.367 | $0.0$ | 0 | ✓ | ✓ | $-0.0982$ | $0$ | $1.71033$ | Artin representation 2.468.16t60.a.c Modular form 468.1.y.a.367.2 | |||
| 2-468-52.23-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 52.23 | $0.0$ | 0 | ✓ | ✓ | $0.0853$ | $0$ | $1.91516$ | Modular form 468.1.q.a.127.1 | |||
| 2-468-52.23-c0-0-1 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 52.23 | $0.0$ | 0 | ✓ | ✓ | $0.0853$ | $0$ | $2.17140$ | Modular form 468.1.q.a.127.2 | |||
| 2-468-52.3-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 52.3 | $0.0$ | 0 | ✓ | ✓ | $-0.209$ | $0$ | $1.76445$ | Artin representation 2.468.12t18.a.a Modular form 468.1.br.a.55.1 | |||
| 2-468-52.35-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 52.35 | $0.0$ | 0 | ✓ | ✓ | $0.209$ | $0$ | $2.35071$ | Artin representation 2.468.12t18.a.b Modular form 468.1.br.a.451.1 | |||
| 2-468-52.43-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 52.43 | $0.0$ | 0 | ✓ | ✓ | $-0.0853$ | $0$ | $1.10409$ | Modular form 468.1.q.a.199.1 | |||
| 2-468-52.43-c0-0-1 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 52.43 | $0.0$ | 0 | ✓ | ✓ | $-0.0853$ | $0$ | $2.09292$ | Modular form 468.1.q.a.199.2 | |||
| 2-468-52.51-c0-0-0 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 52.51 | $0.0$ | 0 | ✓ | ✓ | $0$ | $0$ | $1.21066$ | Artin representation 2.468.8t11.a.a Modular form 468.1.e.c.415.1 | |||
| 2-468-52.51-c0-0-1 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 52.51 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.48477$ | Artin representation 2.468.4t3.a Artin representation 2.468.4t3.a.a Modular form 468.1.e.a Modular form 468.1.e.a.415.1 | |
| 2-468-52.51-c0-0-2 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 52.51 | $0.0$ | 0 | ✓ | ✓ | $0$ | $0$ | $2.10827$ | Artin representation 2.468.8t11.a.b Modular form 468.1.e.c.415.2 | |||
| 2-468-52.51-c0-0-3 | $0.483$ | $0.233$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 52.51 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.29098$ | Artin representation 2.468.4t3.b Artin representation 2.468.4t3.b.a Modular form 468.1.e.b Modular form 468.1.e.b.415.1 | |
| 2-468-1.1-c1-0-0 | $1.93$ | $3.73$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.17283$ | Elliptic curve 468.a Modular form 468.2.a.a Modular form 468.2.a.a.1.1 | |
| 2-468-1.1-c1-0-1 | $1.93$ | $3.73$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.35316$ | Elliptic curve 468.c Modular form 468.2.a.c Modular form 468.2.a.c.1.1 | |
| 2-468-1.1-c1-0-2 | $1.93$ | $3.73$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.53061$ | Elliptic curve 468.d Modular form 468.2.a.d Modular form 468.2.a.d.1.1 | |
| 2-468-1.1-c1-0-3 | $1.93$ | $3.73$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.70620$ | Elliptic curve 468.e Modular form 468.2.a.e Modular form 468.2.a.e.1.1 | |
| 2-468-1.1-c1-0-4 | $1.93$ | $3.73$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.31233$ | Elliptic curve 468.b Modular form 468.2.a.b Modular form 468.2.a.b.1.1 | |
| 2-468-117.103-c1-0-0 | $1.93$ | $3.73$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $0.467$ | $0$ | $0.139457$ | Modular form 468.2.bl.b.337.7 | |||
| 2-468-117.103-c1-0-1 | $1.93$ | $3.73$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $-0.318$ | $0$ | $0.187040$ | Modular form 468.2.bl.b.337.1 | |||
| 2-468-117.103-c1-0-10 | $1.93$ | $3.73$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $0.253$ | $0$ | $1.72537$ | Modular form 468.2.bl.b.337.6 | |||
| 2-468-117.103-c1-0-11 | $1.93$ | $3.73$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $0.157$ | $0$ | $1.87051$ | Modular form 468.2.bl.b.337.10 | |||
| 2-468-117.103-c1-0-12 | $1.93$ | $3.73$ | $2$ | $2^{2} \cdot 3^{2} \cdot 13$ | 117.103 | $1.0$ | $1$ | ✓ | ✓ | $0.206$ | $0$ | $2.00106$ | Modular form 468.2.bl.b.337.11 |