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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-471-471.101-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.101 | $0.0$ | 0 | ✓ | ✓ | $0.0986$ | $0$ | $2.04796$ | Modular form 471.1.o.a.101.1 | |||
2-471-471.14-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.14 | $0.0$ | 0 | ✓ | ✓ | $-0.0986$ | $0$ | $1.16673$ | Modular form 471.1.o.a.14.1 | |||
2-471-471.143-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.143 | $0.0$ | 0 | ✓ | ✓ | $0.246$ | $0$ | $2.47315$ | Modular form 471.1.n.a.143.1 | |||
2-471-471.161-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.161 | $0.0$ | 0 | ✓ | ✓ | $0.203$ | $0$ | $2.27542$ | Modular form 471.1.n.a.161.1 | |||
2-471-471.173-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.173 | $0.0$ | 0 | ✓ | ✓ | $-0.0983$ | $0$ | $1.55525$ | Modular form 471.1.o.a.173.1 | |||
2-471-471.203-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.203 | $0.0$ | 0 | ✓ | ✓ | $-0.0397$ | $0$ | $1.17192$ | Modular form 471.1.o.a.203.1 | |||
2-471-471.206-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.206 | $0.0$ | 0 | ✓ | ✓ | $0.323$ | $0$ | $3.03380$ | Modular form 471.1.n.a.206.1 | |||
2-471-471.215-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.215 | $0.0$ | 0 | ✓ | ✓ | $0.0402$ | $0$ | $1.83300$ | Modular form 471.1.n.a.215.1 | |||
2-471-471.221-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.221 | $0.0$ | 0 | ✓ | ✓ | $0.162$ | $0$ | $2.27639$ | Modular form 471.1.n.a.221.1 | |||
2-471-471.224-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.224 | $0.0$ | 0 | ✓ | ✓ | $0.00311$ | $0$ | $2.07756$ | Modular form 471.1.o.a.224.1 | |||
2-471-471.239-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.239 | $0.0$ | 0 | ✓ | ✓ | $-0.197$ | $0$ | $1.26210$ | Modular form 471.1.n.a.239.1 | |||
2-471-471.275-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.275 | $0.0$ | 0 | ✓ | ✓ | $-0.203$ | $0$ | $1.30791$ | Modular form 471.1.n.a.275.1 | |||
2-471-471.287-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.287 | $0.0$ | 0 | ✓ | ✓ | $-0.0465$ | $0$ | $1.97842$ | Modular form 471.1.o.a.287.1 | |||
2-471-471.341-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.341 | $0.0$ | 0 | ✓ | ✓ | $-0.162$ | $0$ | $1.61758$ | Modular form 471.1.n.a.341.1 | |||
2-471-471.353-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.353 | $0.0$ | 0 | ✓ | ✓ | $-0.467$ | $0$ | $0.192347$ | Modular form 471.1.o.a.353.1 | |||
2-471-471.389-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.389 | $0.0$ | 0 | ✓ | ✓ | $-0.00311$ | $0$ | $2.31426$ | Modular form 471.1.o.a.389.1 | |||
2-471-471.404-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.404 | $0.0$ | 0 | ✓ | ✓ | $0.197$ | $0$ | $2.58585$ | Modular form 471.1.n.a.404.1 | |||
2-471-471.407-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.407 | $0.0$ | 0 | ✓ | ✓ | $0.0465$ | $0$ | $2.11560$ | Modular form 471.1.o.a.407.1 | |||
2-471-471.413-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.413 | $0.0$ | 0 | ✓ | ✓ | $0.0397$ | $0$ | $1.42150$ | Modular form 471.1.o.a.413.1 | |||
2-471-471.422-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.422 | $0.0$ | 0 | ✓ | ✓ | $0.0983$ | $0$ | $2.00586$ | Modular form 471.1.o.a.422.1 | |||
2-471-471.425-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.425 | $0.0$ | 0 | ✓ | ✓ | $-0.0402$ | $0$ | $1.40502$ | Modular form 471.1.n.a.425.1 | |||
2-471-471.455-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.455 | $0.0$ | 0 | ✓ | ✓ | $-0.323$ | $0$ | $1.00945$ | Modular form 471.1.n.a.455.1 | |||
2-471-471.467-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.467 | $0.0$ | 0 | ✓ | ✓ | $0.467$ | $0$ | $2.62019$ | Modular form 471.1.o.a.467.1 | |||
2-471-471.470-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.470 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $0.860110$ | Modular form 471.1.d.c.470.2 | ||
2-471-471.470-c0-0-1 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.470 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.17445$ | Modular form 471.1.d.c.470.1 | ||
2-471-471.470-c0-0-2 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.470 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.76526$ | Modular form 471.1.d.c.470.3 | ||
2-471-471.470-c0-0-3 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.470 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.80679$ | Artin representation 2.471.4t3.a Artin representation 2.471.4t3.a.a Modular form 471.1.d.a Modular form 471.1.d.a.470.1 | |
2-471-471.470-c0-0-4 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.470 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.84774$ | Artin representation 2.471.8t6.b.a Modular form 471.1.d.b.470.1 | ||
2-471-471.470-c0-0-5 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.470 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $2.22511$ | Modular form 471.1.d.c.470.4 | ||
2-471-471.470-c0-0-6 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.470 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $2.62234$ | Artin representation 2.471.8t6.b.b Modular form 471.1.d.b.470.2 | ||
2-471-471.56-c0-0-0 | $0.484$ | $0.235$ | $2$ | $3 \cdot 157$ | 471.56 | $0.0$ | 0 | ✓ | ✓ | $-0.246$ | $0$ | $1.30258$ | Modular form 471.1.n.a.56.1 | |||
2-471-1.1-c1-0-0 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.368113$ | Modular form 471.2.a.d.1.3 | ||
2-471-1.1-c1-0-1 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.837272$ | Modular form 471.2.a.e.1.1 | ||
2-471-1.1-c1-0-10 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.37557$ | Modular form 471.2.a.e.1.4 | ||
2-471-1.1-c1-0-11 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.37989$ | Modular form 471.2.a.e.1.7 | ||
2-471-1.1-c1-0-12 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.40635$ | Modular form 471.2.a.e.1.2 | ||
2-471-1.1-c1-0-13 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.54752$ | Modular form 471.2.a.e.1.8 | ||
2-471-1.1-c1-0-14 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.61233$ | Modular form 471.2.a.d.1.7 | ||
2-471-1.1-c1-0-15 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.61566$ | Modular form 471.2.a.c.1.1 | ||
2-471-1.1-c1-0-16 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.71555$ | Elliptic curve 471.a Modular form 471.2.a.a Modular form 471.2.a.a.1.1 | |
2-471-1.1-c1-0-17 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.74382$ | Modular form 471.2.a.d.1.8 | ||
2-471-1.1-c1-0-18 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.94957$ | Modular form 471.2.a.b.1.1 | ||
2-471-1.1-c1-0-19 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.05679$ | Modular form 471.2.a.e.1.9 | ||
2-471-1.1-c1-0-2 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.848168$ | Modular form 471.2.a.d.1.5 | ||
2-471-1.1-c1-0-20 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.07915$ | Modular form 471.2.a.e.1.10 | ||
2-471-1.1-c1-0-21 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.10119$ | Modular form 471.2.a.e.1.12 | ||
2-471-1.1-c1-0-22 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.12121$ | Modular form 471.2.a.d.1.9 | ||
2-471-1.1-c1-0-23 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.17527$ | Modular form 471.2.a.c.1.2 | ||
2-471-1.1-c1-0-24 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.26691$ | Modular form 471.2.a.e.1.11 | ||
2-471-1.1-c1-0-25 | $1.93$ | $3.76$ | $2$ | $3 \cdot 157$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.70077$ | Modular form 471.2.a.b.1.2 |