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Lowest zero Conductor Analytic conductor Central character Analytic rank
Degree Bad \(p\) Root analytic conductor Motivic weight Spectral label
Root angle Primitive Origin Exclude origin Self-dual
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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
2-418-1.1-c1-0-0 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.15689$ Modular form 418.2.a.f.1.1
2-418-1.1-c1-0-1 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.18697$ Modular form 418.2.a.e.1.1
2-418-1.1-c1-0-10 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.16056$ Modular form 418.2.a.f.1.2
2-418-1.1-c1-0-11 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.18198$ Modular form 418.2.a.d.1.2
2-418-1.1-c1-0-12 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.24338$ Modular form 418.2.a.g.1.2
2-418-1.1-c1-0-13 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.62880$ Modular form 418.2.a.g.1.3
2-418-1.1-c1-0-14 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.67801$ Elliptic curve 418.a Modular form 418.2.a.a Modular form 418.2.a.a.1.1
2-418-1.1-c1-0-2 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.50771$ Modular form 418.2.a.h.1.1
2-418-1.1-c1-0-3 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.65980$ Modular form 418.2.a.d.1.1
2-418-1.1-c1-0-4 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.72927$ Modular form 418.2.a.e.1.2
2-418-1.1-c1-0-5 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.77032$ Modular form 418.2.a.g.1.1
2-418-1.1-c1-0-6 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.78204$ Elliptic curve 418.b Modular form 418.2.a.b Modular form 418.2.a.b.1.1
2-418-1.1-c1-0-7 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.92206$ Modular form 418.2.a.h.1.2
2-418-1.1-c1-0-8 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.99354$ Modular form 418.2.a.h.1.3
2-418-1.1-c1-0-9 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $2.11774$ Elliptic curve 418.c Modular form 418.2.a.c Modular form 418.2.a.c.1.1
2-418-11.3-c1-0-0 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $-0.203$ $0$ $0.587570$ Modular form 418.2.f.f.267.1
2-418-11.3-c1-0-1 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $-0.431$ $0$ $0.854791$ Modular form 418.2.f.e.267.1
2-418-11.3-c1-0-10 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $0.0787$ $0$ $1.83558$ Modular form 418.2.f.f.267.3
2-418-11.3-c1-0-11 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $0.284$ $0$ $2.12527$ Modular form 418.2.f.g.267.1
2-418-11.3-c1-0-12 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $0.267$ $0$ $2.16188$ Modular form 418.2.f.h.267.2
2-418-11.3-c1-0-13 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $0.194$ $0$ $2.18957$ Modular form 418.2.f.g.267.3
2-418-11.3-c1-0-14 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $0.437$ $0$ $2.32562$ Modular form 418.2.f.f.267.2
2-418-11.3-c1-0-15 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $-0.492$ $0$ $2.92089$ Modular form 418.2.f.g.267.2
2-418-11.3-c1-0-16 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $-0.473$ $0$ $3.05303$ Modular form 418.2.f.h.267.1
2-418-11.3-c1-0-17 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $-0.261$ $1$ $3.23843$ Modular form 418.2.f.a.267.1
2-418-11.3-c1-0-2 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $-0.375$ $0$ $1.11205$ Modular form 418.2.f.f.267.4
2-418-11.3-c1-0-3 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $-0.212$ $0$ $1.28803$ Modular form 418.2.f.h.267.5
2-418-11.3-c1-0-4 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $-0.0110$ $0$ $1.42034$ Modular form 418.2.f.h.267.3
2-418-11.3-c1-0-5 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $-0.106$ $0$ $1.44079$ Modular form 418.2.f.b.267.1
2-418-11.3-c1-0-6 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $-0.0796$ $0$ $1.56704$ Modular form 418.2.f.g.267.4
2-418-11.3-c1-0-7 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $0.138$ $0$ $1.56832$ Modular form 418.2.f.c.267.1
2-418-11.3-c1-0-8 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $0.238$ $0$ $1.74210$ Modular form 418.2.f.d.267.1
2-418-11.3-c1-0-9 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.3 $1.0$ $1$ ✓ ✓ $0.108$ $0$ $1.79874$ Modular form 418.2.f.h.267.4
2-418-11.4-c1-0-0 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $-0.437$ $0$ $0.551523$ Modular form 418.2.f.f.191.2
2-418-11.4-c1-0-1 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $0.492$ $0$ $0.580849$ Modular form 418.2.f.g.191.2
2-418-11.4-c1-0-10 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $-0.284$ $0$ $1.31637$ Modular form 418.2.f.g.191.1
2-418-11.4-c1-0-11 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $0.106$ $0$ $1.52038$ Modular form 418.2.f.b.191.1
2-418-11.4-c1-0-12 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $0.203$ $0$ $1.88898$ Modular form 418.2.f.f.191.1
2-418-11.4-c1-0-13 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $0.0110$ $0$ $1.92842$ Modular form 418.2.f.h.191.3
2-418-11.4-c1-0-14 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $0.0796$ $0$ $2.13281$ Modular form 418.2.f.g.191.4
2-418-11.4-c1-0-15 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $0.375$ $0$ $2.17169$ Modular form 418.2.f.f.191.4
2-418-11.4-c1-0-16 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $0.431$ $0$ $2.40865$ Modular form 418.2.f.e.191.1
2-418-11.4-c1-0-17 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $0.212$ $0$ $2.57371$ Modular form 418.2.f.h.191.5
2-418-11.4-c1-0-2 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $0.473$ $0$ $0.633668$ Modular form 418.2.f.h.191.1
2-418-11.4-c1-0-3 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $-0.0787$ $0$ $0.720659$ Modular form 418.2.f.f.191.3
2-418-11.4-c1-0-4 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $-0.238$ $0$ $0.816497$ Modular form 418.2.f.d.191.1
2-418-11.4-c1-0-5 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $-0.138$ $0$ $0.855896$ Modular form 418.2.f.c.191.1
2-418-11.4-c1-0-6 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $-0.194$ $0$ $1.08662$ Modular form 418.2.f.g.191.3
2-418-11.4-c1-0-7 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $-0.267$ $0$ $1.22407$ Modular form 418.2.f.h.191.2
2-418-11.4-c1-0-8 $1.82$ $3.33$ $2$ $2 \cdot 11 \cdot 19$ 11.4 $1.0$ $1$ ✓ ✓ $0.261$ $1$ $1.26529$ Modular form 418.2.f.a.191.1
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