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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-507-3.2-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 3.2 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.59349$ | Artin representation 2.507.4t3.b Artin representation 2.507.4t3.b.a Modular form 507.1.c.a Modular form 507.1.c.a.170.1 | |
2-507-39.17-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 39.17 | $0.0$ | 0 | ✓ | ✓ | $0.0426$ | $0$ | $1.97836$ | Modular form 507.1.h.a.485.1 | |||
2-507-39.23-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 39.23 | $0.0$ | 0 | ✓ | ✓ | $-0.0426$ | $0$ | $1.90836$ | Modular form 507.1.h.a.23.1 | |||
2-507-39.29-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 39.29 | $0.0$ | 0 | ✓ | ✓ | $-0.247$ | $0$ | $1.24681$ | Modular form 507.1.i.a.146.1 | |||
2-507-39.35-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 39.35 | $0.0$ | 0 | ✓ | ✓ | $0.247$ | $0$ | $2.58616$ | Modular form 507.1.i.a.191.1 | |||
2-507-507.116-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.116 | $0.0$ | 0 | ✓ | ✓ | $-0.186$ | $0$ | $1.63372$ | Modular form 507.1.n.a.116.1 | |||
2-507-507.131-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.131 | $0.0$ | 0 | ✓ | ✓ | $-0.100$ | $0$ | $1.73013$ | Modular form 507.1.o.a.131.1 | |||
2-507-507.14-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.14 | $0.0$ | 0 | ✓ | ✓ | $0.213$ | $0$ | $2.68365$ | Modular form 507.1.o.a.14.1 | |||
2-507-507.155-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.155 | $0.0$ | 0 | ✓ | ✓ | $-0.286$ | $0$ | $0.944782$ | Modular form 507.1.n.a.155.1 | |||
2-507-507.194-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.194 | $0.0$ | 0 | ✓ | ✓ | $-0.0414$ | $0$ | $1.43324$ | Modular form 507.1.n.a.194.1 | |||
2-507-507.209-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.209 | $0.0$ | 0 | ✓ | ✓ | $0.100$ | $0$ | $2.09987$ | Modular form 507.1.o.a.209.1 | |||
2-507-507.233-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.233 | $0.0$ | 0 | ✓ | ✓ | $0.0887$ | $0$ | $2.47169$ | Modular form 507.1.n.a.233.1 | |||
2-507-507.248-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.248 | $0.0$ | 0 | ✓ | ✓ | $0.0473$ | $0$ | $1.67053$ | Modular form 507.1.o.a.248.1 | |||
2-507-507.272-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.272 | $0.0$ | 0 | ✓ | ✓ | $-0.0887$ | $0$ | $1.83803$ | Modular form 507.1.n.a.272.1 | |||
2-507-507.287-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.287 | $0.0$ | 0 | ✓ | ✓ | $-0.313$ | $0$ | $1.04282$ | Modular form 507.1.o.a.287.1 | |||
2-507-507.311-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.311 | $0.0$ | 0 | ✓ | ✓ | $0.0414$ | $0$ | $2.07047$ | Modular form 507.1.n.a.311.1 | |||
2-507-507.326-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.326 | $0.0$ | 0 | ✓ | ✓ | $-0.213$ | $0$ | $1.27214$ | Modular form 507.1.o.a.326.1 | |||
2-507-507.350-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.350 | $0.0$ | 0 | ✓ | ✓ | $0.286$ | $0$ | $2.37411$ | Modular form 507.1.n.a.350.1 | |||
2-507-507.365-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.365 | $0.0$ | 0 | ✓ | ✓ | $0.0414$ | $0$ | $1.75282$ | Modular form 507.1.o.a.365.1 | |||
2-507-507.38-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.38 | $0.0$ | 0 | ✓ | ✓ | $0.399$ | $0$ | $2.69898$ | Modular form 507.1.n.a.38.1 | |||
2-507-507.389-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.389 | $0.0$ | 0 | ✓ | ✓ | $0.186$ | $0$ | $2.33665$ | Modular form 507.1.n.a.389.1 | |||
2-507-507.404-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.404 | $0.0$ | 0 | ✓ | ✓ | $-0.0887$ | $0$ | $0.989238$ | Modular form 507.1.o.a.404.1 | |||
2-507-507.428-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.428 | $0.0$ | 0 | ✓ | ✓ | $0.0473$ | $0$ | $2.06549$ | Modular form 507.1.n.a.428.1 | |||
2-507-507.443-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.443 | $0.0$ | 0 | ✓ | ✓ | $0.0887$ | $0$ | $1.64224$ | Modular form 507.1.o.a.443.1 | |||
2-507-507.467-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.467 | $0.0$ | 0 | ✓ | ✓ | $-0.399$ | $0$ | $0.519880$ | Modular form 507.1.n.a.467.1 | |||
2-507-507.482-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.482 | $0.0$ | 0 | ✓ | ✓ | $-0.0414$ | $0$ | $1.72151$ | Modular form 507.1.o.a.482.1 | |||
2-507-507.53-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.53 | $0.0$ | 0 | ✓ | ✓ | $0.313$ | $0$ | $2.64773$ | Modular form 507.1.o.a.53.1 | |||
2-507-507.77-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.77 | $0.0$ | 0 | ✓ | ✓ | $-0.0473$ | $0$ | $1.73338$ | Modular form 507.1.n.a.77.1 | |||
2-507-507.92-c0-0-0 | $0.503$ | $0.253$ | $2$ | $3 \cdot 13^{2}$ | 507.92 | $0.0$ | 0 | ✓ | ✓ | $-0.0473$ | $0$ | $1.34442$ | Modular form 507.1.o.a.92.1 | |||
2-507-1.1-c1-0-0 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.700315$ | Modular form 507.2.a.f.1.1 | ||
2-507-1.1-c1-0-1 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.701280$ | Modular form 507.2.a.e.1.1 | ||
2-507-1.1-c1-0-10 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.50232$ | Modular form 507.2.a.f.1.2 | ||
2-507-1.1-c1-0-11 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.67584$ | Modular form 507.2.a.i.1.1 | ||
2-507-1.1-c1-0-12 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.68781$ | Elliptic curve 507.a Modular form 507.2.a.a Modular form 507.2.a.a.1.1 | |
2-507-1.1-c1-0-13 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.75898$ | Elliptic curve 507.b Modular form 507.2.a.b Modular form 507.2.a.b.1.1 | |
2-507-1.1-c1-0-14 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.85376$ | Modular form 507.2.a.j.1.1 | ||
2-507-1.1-c1-0-15 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.87187$ | Modular form 507.2.a.l.1.3 | ||
2-507-1.1-c1-0-16 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.93481$ | Modular form 507.2.a.d.1.2 | ||
2-507-1.1-c1-0-17 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.96556$ | Modular form 507.2.a.l.1.2 | ||
2-507-1.1-c1-0-18 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.98368$ | Modular form 507.2.a.k.1.3 | ||
2-507-1.1-c1-0-19 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.02541$ | Modular form 507.2.a.h.1.2 | ||
2-507-1.1-c1-0-2 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.877085$ | Modular form 507.2.a.g.1.1 | ||
2-507-1.1-c1-0-20 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.24268$ | Modular form 507.2.a.j.1.2 | ||
2-507-1.1-c1-0-21 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.24384$ | Modular form 507.2.a.g.1.2 | ||
2-507-1.1-c1-0-22 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.32792$ | Elliptic curve 507.c Modular form 507.2.a.c Modular form 507.2.a.c.1.1 | |
2-507-1.1-c1-0-23 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.91060$ | Modular form 507.2.a.j.1.3 | ||
2-507-1.1-c1-0-24 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.95144$ | Modular form 507.2.a.i.1.3 | ||
2-507-1.1-c1-0-3 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.19333$ | Modular form 507.2.a.e.1.2 | ||
2-507-1.1-c1-0-4 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.21501$ | Modular form 507.2.a.d.1.1 | ||
2-507-1.1-c1-0-5 | $2.01$ | $4.04$ | $2$ | $3 \cdot 13^{2}$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.25195$ | Modular form 507.2.a.l.1.1 |