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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
2-22e2-11.2-c0-0-0 $0.491$ $0.241$ $2$ $2^{2} \cdot 11^{2}$ 11.2 $0.0$ 0 ✓ ✓ $0.142$ $0$ $2.41862$ Artin representation 2.484.15t4.a.d Modular form 484.1.f.a.233.1
2-22e2-11.6-c0-0-0 $0.491$ $0.241$ $2$ $2^{2} \cdot 11^{2}$ 11.6 $0.0$ 0 ✓ ✓ $-0.142$ $0$ $1.57343$ Artin representation 2.484.15t4.a.b Modular form 484.1.f.a.457.1
2-22e2-11.7-c0-0-0 $0.491$ $0.241$ $2$ $2^{2} \cdot 11^{2}$ 11.7 $0.0$ 0 ✓ ✓ $-0.103$ $0$ $1.59824$ Artin representation 2.484.15t4.a.c Modular form 484.1.f.a.161.1
2-22e2-11.8-c0-0-0 $0.491$ $0.241$ $2$ $2^{2} \cdot 11^{2}$ 11.8 $0.0$ 0 ✓ ✓ $0.103$ $0$ $1.89200$ Artin representation 2.484.15t4.a.a Modular form 484.1.f.a.481.1
2-22e2-4.3-c0-0-0 $0.491$ $0.241$ $2$ $2^{2} \cdot 11^{2}$ 4.3 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.34708$ Artin representation 2.484.6t3.b Artin representation 2.484.6t3.b.a Modular form 484.1.b.a Modular form 484.1.b.a.243.1
2-22e2-4.3-c0-0-1 $0.491$ $0.241$ $2$ $2^{2} \cdot 11^{2}$ 4.3 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $2.09604$ Artin representation 2.484.3t2.b Artin representation 2.484.3t2.b.a Modular form 484.1.b.b Modular form 484.1.b.b.243.1
2-22e2-44.15-c0-0-0 $0.491$ $0.241$ $2$ $2^{2} \cdot 11^{2}$ 44.15 $0.0$ 0 ✓ ✓ $0.161$ $0$ $1.80151$ Artin representation 2.484.15t4.b.a Modular form 484.1.h.a.323.1
2-22e2-44.15-c0-0-1 $0.491$ $0.241$ $2$ $2^{2} \cdot 11^{2}$ 44.15 $0.0$ 0 ✓ ✓ $-0.114$ $0$ $2.15205$ Modular form 484.1.h.b.323.1
2-22e2-44.27-c0-0-0 $0.491$ $0.241$ $2$ $2^{2} \cdot 11^{2}$ 44.27 $0.0$ 0 ✓ ✓ $-0.00756$ $0$ $1.10160$ Modular form 484.1.h.b.27.1
2-22e2-44.27-c0-0-1 $0.491$ $0.241$ $2$ $2^{2} \cdot 11^{2}$ 44.27 $0.0$ 0 ✓ ✓ $-0.353$ $0$ $1.14004$ Artin representation 2.484.15t4.b.d Modular form 484.1.h.a.27.1
2-22e2-44.3-c0-0-0 $0.491$ $0.241$ $2$ $2^{2} \cdot 11^{2}$ 44.3 $0.0$ 0 ✓ ✓ $-0.161$ $0$ $1.34989$ Artin representation 2.484.15t4.b.c Modular form 484.1.h.a.3.1
2-22e2-44.3-c0-0-1 $0.491$ $0.241$ $2$ $2^{2} \cdot 11^{2}$ 44.3 $0.0$ 0 ✓ ✓ $0.114$ $0$ $2.28168$ Modular form 484.1.h.b.3.1
2-22e2-44.31-c0-0-0 $0.491$ $0.241$ $2$ $2^{2} \cdot 11^{2}$ 44.31 $0.0$ 0 ✓ ✓ $0.00756$ $0$ $1.93338$ Modular form 484.1.h.b.251.1
2-22e2-44.31-c0-0-1 $0.491$ $0.241$ $2$ $2^{2} \cdot 11^{2}$ 44.31 $0.0$ 0 ✓ ✓ $0.353$ $0$ $2.67684$ Artin representation 2.484.15t4.b.b Modular form 484.1.h.a.251.1
2-22e2-1.1-c1-0-0 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.719769$ Modular form 484.2.a.b.1.1
2-22e2-1.1-c1-0-1 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.23008$ Modular form 484.2.a.d.1.1
2-22e2-1.1-c1-0-2 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.32259$ Modular form 484.2.a.b.1.2
2-22e2-1.1-c1-0-3 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.70353$ Modular form 484.2.a.e.1.1
2-22e2-1.1-c1-0-4 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.76628$ Modular form 484.2.a.d.1.2
2-22e2-1.1-c1-0-5 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.85679$ Modular form 484.2.a.c.1.1
2-22e2-1.1-c1-0-6 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.06270$ Modular form 484.2.a.e.1.2
2-22e2-1.1-c1-0-7 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.36811$ Modular form 484.2.a.c.1.2
2-22e2-1.1-c1-0-8 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.47303$ Elliptic curve 484.a Modular form 484.2.a.a Modular form 484.2.a.a.1.1
2-22e2-11.3-c1-0-0 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.3 $1.0$ $1$ ✓ ✓ $-0.464$ $0$ $0.361481$ Modular form 484.2.e.f.245.1
2-22e2-11.3-c1-0-1 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.3 $1.0$ $1$ ✓ ✓ $-0.361$ $0$ $1.04758$ Modular form 484.2.e.g.245.2
2-22e2-11.3-c1-0-2 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.3 $1.0$ $1$ ✓ ✓ $-0.206$ $0$ $1.15945$ Modular form 484.2.e.b.245.1
2-22e2-11.3-c1-0-3 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.3 $1.0$ $1$ ✓ ✓ $0.0145$ $0$ $1.24518$ Modular form 484.2.e.d.245.1
2-22e2-11.3-c1-0-4 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.3 $1.0$ $1$ ✓ ✓ $-0.0854$ $0$ $1.53830$ Modular form 484.2.e.a.245.1
2-22e2-11.3-c1-0-5 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.3 $1.0$ $1$ ✓ ✓ $0.0721$ $0$ $1.65481$ Modular form 484.2.e.f.245.2
2-22e2-11.3-c1-0-6 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.3 $1.0$ $1$ ✓ ✓ $0.238$ $0$ $1.89877$ Modular form 484.2.e.e.245.1
2-22e2-11.3-c1-0-7 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.3 $1.0$ $1$ ✓ ✓ $0.338$ $0$ $2.03054$ Modular form 484.2.e.c.245.1
2-22e2-11.3-c1-0-8 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.3 $1.0$ $1$ ✓ ✓ $-0.361$ $0$ $2.97165$ Modular form 484.2.e.g.245.1
2-22e2-11.4-c1-0-0 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.4 $1.0$ $1$ ✓ ✓ $0.361$ $0$ $0.248451$ Modular form 484.2.e.g.81.1
2-22e2-11.4-c1-0-1 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.4 $1.0$ $1$ ✓ ✓ $-0.238$ $0$ $0.801613$ Modular form 484.2.e.e.81.1
2-22e2-11.4-c1-0-2 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.4 $1.0$ $1$ ✓ ✓ $-0.338$ $0$ $0.890890$ Modular form 484.2.e.c.81.1
2-22e2-11.4-c1-0-3 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.4 $1.0$ $1$ ✓ ✓ $-0.0721$ $0$ $0.932800$ Modular form 484.2.e.f.81.2
2-22e2-11.4-c1-0-4 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.4 $1.0$ $1$ ✓ ✓ $-0.0145$ $0$ $1.25393$ Modular form 484.2.e.d.81.1
2-22e2-11.4-c1-0-5 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.4 $1.0$ $1$ ✓ ✓ $0.0854$ $0$ $1.62456$ Modular form 484.2.e.a.81.1
2-22e2-11.4-c1-0-6 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.4 $1.0$ $1$ ✓ ✓ $0.206$ $0$ $2.04171$ Modular form 484.2.e.b.81.1
2-22e2-11.4-c1-0-7 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.4 $1.0$ $1$ ✓ ✓ $0.464$ $0$ $2.43121$ Modular form 484.2.e.f.81.1
2-22e2-11.4-c1-0-8 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.4 $1.0$ $1$ ✓ ✓ $0.361$ $0$ $2.52944$ Modular form 484.2.e.g.81.2
2-22e2-11.5-c1-0-0 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.5 $1.0$ $1$ ✓ ✓ $-0.177$ $0$ $0.756572$ Modular form 484.2.e.b.269.1
2-22e2-11.5-c1-0-1 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.5 $1.0$ $1$ ✓ ✓ $0.0465$ $0$ $0.821565$ Modular form 484.2.e.g.269.1
2-22e2-11.5-c1-0-2 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.5 $1.0$ $1$ ✓ ✓ $-0.307$ $0$ $0.932517$ Modular form 484.2.e.d.269.1
2-22e2-11.5-c1-0-3 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.5 $1.0$ $1$ ✓ ✓ $-0.153$ $0$ $1.49821$ Modular form 484.2.e.e.269.1
2-22e2-11.5-c1-0-4 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.5 $1.0$ $1$ ✓ ✓ $0.392$ $0$ $1.82402$ Modular form 484.2.e.a.269.1
2-22e2-11.5-c1-0-5 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.5 $1.0$ $1$ ✓ ✓ $0.146$ $0$ $1.87018$ Modular form 484.2.e.c.269.1
2-22e2-11.5-c1-0-6 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.5 $1.0$ $1$ ✓ ✓ $0.0465$ $0$ $2.02717$ Modular form 484.2.e.g.269.2
2-22e2-11.5-c1-0-7 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.5 $1.0$ $1$ ✓ ✓ $0.352$ $0$ $2.04516$ Modular form 484.2.e.f.269.2
2-22e2-11.5-c1-0-8 $1.96$ $3.86$ $2$ $2^{2} \cdot 11^{2}$ 11.5 $1.0$ $1$ ✓ ✓ $-0.437$ $0$ $2.49766$ Modular form 484.2.e.f.269.1
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