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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2-415-415.414-c0-0-0 | $0.455$ | $0.207$ | $2$ | $5 \cdot 83$ | 415.414 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.31915$ | Modular form 415.1.d.b.414.1 | ||
| 2-415-415.414-c0-0-1 | $0.455$ | $0.207$ | $2$ | $5 \cdot 83$ | 415.414 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.48658$ | Artin representation 2.415.5t2.a.a Modular form 415.1.d.a.414.1 | ||
| 2-415-415.414-c0-0-2 | $0.455$ | $0.207$ | $2$ | $5 \cdot 83$ | 415.414 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.97677$ | Artin representation 2.415.5t2.a.b Modular form 415.1.d.a.414.2 | ||
| 2-415-415.414-c0-0-3 | $0.455$ | $0.207$ | $2$ | $5 \cdot 83$ | 415.414 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $2.51560$ | Modular form 415.1.d.b.414.2 | ||
| 2-415-1.1-c1-0-0 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.546191$ | Modular form 415.2.a.e.1.3 | ||
| 2-415-1.1-c1-0-1 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.666398$ | Modular form 415.2.a.c.1.3 | ||
| 2-415-1.1-c1-0-10 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.44380$ | Modular form 415.2.a.d.1.3 | ||
| 2-415-1.1-c1-0-11 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.46913$ | Modular form 415.2.a.d.1.1 | ||
| 2-415-1.1-c1-0-12 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.54399$ | Modular form 415.2.a.e.1.7 | ||
| 2-415-1.1-c1-0-13 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.67317$ | Modular form 415.2.a.e.1.4 | ||
| 2-415-1.1-c1-0-14 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.06176$ | Elliptic curve 415.a Modular form 415.2.a.a Modular form 415.2.a.a.1.1 | |
| 2-415-1.1-c1-0-15 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.07616$ | Modular form 415.2.a.b.1.1 | ||
| 2-415-1.1-c1-0-16 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.13788$ | Modular form 415.2.a.e.1.11 | ||
| 2-415-1.1-c1-0-17 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.16266$ | Modular form 415.2.a.d.1.2 | ||
| 2-415-1.1-c1-0-18 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.16504$ | Modular form 415.2.a.d.1.4 | ||
| 2-415-1.1-c1-0-19 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.17437$ | Modular form 415.2.a.c.1.6 | ||
| 2-415-1.1-c1-0-2 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.760045$ | Modular form 415.2.a.e.1.6 | ||
| 2-415-1.1-c1-0-20 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.20801$ | Modular form 415.2.a.e.1.8 | ||
| 2-415-1.1-c1-0-21 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.28044$ | Modular form 415.2.a.b.1.2 | ||
| 2-415-1.1-c1-0-22 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.34208$ | Modular form 415.2.a.c.1.5 | ||
| 2-415-1.1-c1-0-23 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.46316$ | Modular form 415.2.a.e.1.10 | ||
| 2-415-1.1-c1-0-24 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.75220$ | Modular form 415.2.a.d.1.7 | ||
| 2-415-1.1-c1-0-25 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.77671$ | Modular form 415.2.a.d.1.5 | ||
| 2-415-1.1-c1-0-26 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.98473$ | Modular form 415.2.a.d.1.6 | ||
| 2-415-1.1-c1-0-3 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.898941$ | Modular form 415.2.a.c.1.1 | ||
| 2-415-1.1-c1-0-4 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.961001$ | Modular form 415.2.a.e.1.2 | ||
| 2-415-1.1-c1-0-5 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.11359$ | Modular form 415.2.a.c.1.4 | ||
| 2-415-1.1-c1-0-6 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.18176$ | Modular form 415.2.a.e.1.5 | ||
| 2-415-1.1-c1-0-7 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.33142$ | Modular form 415.2.a.e.1.9 | ||
| 2-415-1.1-c1-0-8 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.35990$ | Modular form 415.2.a.e.1.1 | ||
| 2-415-1.1-c1-0-9 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 1.1 | $1.0$ | $1$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.36886$ | Modular form 415.2.a.c.1.2 | ||
| 2-415-415.102-c1-0-0 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $0.369$ | $0$ | $0.00830557$ | Modular form 415.2.l.a.102.13 | |||
| 2-415-415.102-c1-0-1 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $0.412$ | $0$ | $0.0658610$ | Modular form 415.2.l.a.102.2 | |||
| 2-415-415.102-c1-0-10 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $-0.381$ | $0$ | $0.541392$ | Modular form 415.2.l.a.102.6 | |||
| 2-415-415.102-c1-0-11 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $-0.0173$ | $0$ | $0.546833$ | Modular form 415.2.l.a.102.14 | |||
| 2-415-415.102-c1-0-12 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $-0.253$ | $0$ | $0.614053$ | Modular form 415.2.l.a.102.27 | |||
| 2-415-415.102-c1-0-13 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $-0.232$ | $0$ | $0.653835$ | Modular form 415.2.l.a.102.29 | |||
| 2-415-415.102-c1-0-14 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $0.000180$ | $0$ | $0.838497$ | Modular form 415.2.l.a.102.3 | |||
| 2-415-415.102-c1-0-15 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $-0.140$ | $0$ | $0.889002$ | Modular form 415.2.l.a.102.19 | |||
| 2-415-415.102-c1-0-16 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $-0.289$ | $0$ | $1.06177$ | Modular form 415.2.l.a.102.16 | |||
| 2-415-415.102-c1-0-17 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $-0.248$ | $0$ | $1.12891$ | Modular form 415.2.l.a.102.17 | |||
| 2-415-415.102-c1-0-18 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $0.113$ | $0$ | $1.15102$ | Modular form 415.2.l.a.102.25 | |||
| 2-415-415.102-c1-0-19 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $-0.169$ | $0$ | $1.36500$ | Modular form 415.2.l.a.102.4 | |||
| 2-415-415.102-c1-0-2 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $0.417$ | $0$ | $0.123761$ | Modular form 415.2.l.a.102.22 | |||
| 2-415-415.102-c1-0-20 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $-0.0759$ | $0$ | $1.36594$ | Modular form 415.2.l.a.102.12 | |||
| 2-415-415.102-c1-0-21 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $-0.0593$ | $0$ | $1.40610$ | Modular form 415.2.l.a.102.26 | |||
| 2-415-415.102-c1-0-22 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $-0.0374$ | $0$ | $1.50518$ | Modular form 415.2.l.a.102.1 | |||
| 2-415-415.102-c1-0-23 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $0.338$ | $0$ | $1.53299$ | Modular form 415.2.l.a.102.20 | |||
| 2-415-415.102-c1-0-24 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $-0.137$ | $0$ | $1.53897$ | Modular form 415.2.l.a.102.8 | |||
| 2-415-415.102-c1-0-25 | $1.82$ | $3.31$ | $2$ | $5 \cdot 83$ | 415.102 | $1.0$ | $1$ | ✓ | ✓ | $0.102$ | $0$ | $1.66366$ | Modular form 415.2.l.a.102.11 |