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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
2-1824-1.1-c1-0-0 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.366300$ Modular form 1824.2.a.o.1.1
2-1824-1.1-c1-0-1 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.447386$ Modular form 1824.2.a.s.1.2
2-1824-1.1-c1-0-10 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.01583$ Modular form 1824.2.a.v.1.2
2-1824-1.1-c1-0-11 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.02360$ Modular form 1824.2.a.t.1.3
2-1824-1.1-c1-0-12 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.03905$ Elliptic curve 1824.j Modular form 1824.2.a.j Modular form 1824.2.a.j.1.1
2-1824-1.1-c1-0-13 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.11422$ Modular form 1824.2.a.s.1.3
2-1824-1.1-c1-0-14 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.16513$ Modular form 1824.2.a.o.1.2
2-1824-1.1-c1-0-15 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.18032$ Modular form 1824.2.a.v.1.1
2-1824-1.1-c1-0-16 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.24781$ Modular form 1824.2.a.t.1.2
2-1824-1.1-c1-0-17 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.25612$ Elliptic curve 1824.k Modular form 1824.2.a.k Modular form 1824.2.a.k.1.1
2-1824-1.1-c1-0-18 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.26877$ Modular form 1824.2.a.q.1.2
2-1824-1.1-c1-0-19 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.27049$ Modular form 1824.2.a.u.1.3
2-1824-1.1-c1-0-2 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.611516$ Modular form 1824.2.a.u.1.1
2-1824-1.1-c1-0-20 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.30898$ Modular form 1824.2.a.n.1.1
2-1824-1.1-c1-0-21 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.36988$ Modular form 1824.2.a.m.1.1
2-1824-1.1-c1-0-22 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.42802$ Modular form 1824.2.a.v.1.3
2-1824-1.1-c1-0-23 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.48419$ Elliptic curve 1824.b Modular form 1824.2.a.b Modular form 1824.2.a.b.1.1
2-1824-1.1-c1-0-24 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.49634$ Elliptic curve 1824.l Modular form 1824.2.a.l Modular form 1824.2.a.l.1.1
2-1824-1.1-c1-0-25 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.52185$ Modular form 1824.2.a.m.1.2
2-1824-1.1-c1-0-26 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.57728$ Elliptic curve 1824.d Modular form 1824.2.a.d Modular form 1824.2.a.d.1.1
2-1824-1.1-c1-0-27 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.66087$ Elliptic curve 1824.g Modular form 1824.2.a.g Modular form 1824.2.a.g.1.1
2-1824-1.1-c1-0-28 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.67386$ Modular form 1824.2.a.p.1.1
2-1824-1.1-c1-0-29 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.68933$ Elliptic curve 1824.f Modular form 1824.2.a.f Modular form 1824.2.a.f.1.1
2-1824-1.1-c1-0-3 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.612002$ Modular form 1824.2.a.t.1.1
2-1824-1.1-c1-0-30 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.70452$ Modular form 1824.2.a.n.1.2
2-1824-1.1-c1-0-31 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.76466$ Modular form 1824.2.a.r.1.1
2-1824-1.1-c1-0-32 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.79355$ Elliptic curve 1824.h Modular form 1824.2.a.h Modular form 1824.2.a.h.1.1
2-1824-1.1-c1-0-33 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.89072$ Modular form 1824.2.a.p.1.2
2-1824-1.1-c1-0-34 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.90129$ Elliptic curve 1824.i Modular form 1824.2.a.i Modular form 1824.2.a.i.1.1
2-1824-1.1-c1-0-35 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.09941$ Modular form 1824.2.a.r.1.2
2-1824-1.1-c1-0-4 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.718764$ Modular form 1824.2.a.q.1.1
2-1824-1.1-c1-0-5 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.809924$ Modular form 1824.2.a.s.1.1
2-1824-1.1-c1-0-6 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $0.822876$ Elliptic curve 1824.a Modular form 1824.2.a.a Modular form 1824.2.a.a.1.1
2-1824-1.1-c1-0-7 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $0.881283$ Elliptic curve 1824.e Modular form 1824.2.a.e Modular form 1824.2.a.e.1.1
2-1824-1.1-c1-0-8 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $0.898333$ Elliptic curve 1824.c Modular form 1824.2.a.c Modular form 1824.2.a.c.1.1
2-1824-1.1-c1-0-9 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.00393$ Modular form 1824.2.a.u.1.2
2-1824-12.11-c1-0-0 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 12.11 $1.0$ $1$ ✓ ✓ $-0.494$ $0$ $0.108565$ Modular form 1824.2.d.f.191.7
2-1824-12.11-c1-0-1 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 12.11 $1.0$ $1$ ✓ ✓ $0.411$ $0$ $0.152687$ Modular form 1824.2.d.g.191.3
2-1824-12.11-c1-0-10 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 12.11 $1.0$ $1$ ✓ ✓ $-0.175$ $0$ $0.330104$ Modular form 1824.2.d.g.191.6
2-1824-12.11-c1-0-11 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 12.11 $1.0$ $1$ ✓ ✓ $-0.472$ $0$ $0.349762$ Modular form 1824.2.d.c.191.2
2-1824-12.11-c1-0-12 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 12.11 $1.0$ $1$ ✓ ✓ $-0.402$ $0$ $0.380873$ Modular form 1824.2.d.e.191.2
2-1824-12.11-c1-0-13 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 12.11 $1.0$ $1$ ✓ ✓ $-0.413$ $0$ $0.444671$ Modular form 1824.2.d.f.191.19
2-1824-12.11-c1-0-14 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 12.11 $1.0$ $1$ ✓ ✓ $-0.222$ $0$ $0.458547$ Modular form 1824.2.d.a.191.2
2-1824-12.11-c1-0-15 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 12.11 $1.0$ $1$ ✓ ✓ $-0.0700$ $0$ $0.481163$ Modular form 1824.2.d.f.191.3
2-1824-12.11-c1-0-16 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 12.11 $1.0$ $1$ ✓ ✓ $-0.243$ $0$ $0.524790$ Modular form 1824.2.d.f.191.6
2-1824-12.11-c1-0-17 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 12.11 $1.0$ $1$ ✓ ✓ $-0.338$ $0$ $0.668651$ Modular form 1824.2.d.g.191.30
2-1824-12.11-c1-0-18 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 12.11 $1.0$ $1$ ✓ ✓ $-0.463$ $0$ $0.670421$ Modular form 1824.2.d.g.191.24
2-1824-12.11-c1-0-19 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 12.11 $1.0$ $1$ ✓ ✓ $-0.472$ $0$ $0.675821$ Modular form 1824.2.d.d.191.4
2-1824-12.11-c1-0-2 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 12.11 $1.0$ $1$ ✓ ✓ $-0.213$ $0$ $0.164461$ Modular form 1824.2.d.g.191.9
2-1824-12.11-c1-0-20 $3.81$ $14.5$ $2$ $2^{5} \cdot 3 \cdot 19$ 12.11 $1.0$ $1$ ✓ ✓ $0.0270$ $0$ $0.681595$ Modular form 1824.2.d.a.191.1
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