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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
Arithmetic
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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
2-11e2-11.10-c2-0-0 $1.81$ $3.29$ $2$ $11^{2}$ 11.10 $2.0$ $2$ ✓ ✓ $-0.162$ $0$ $0.201606$ Modular form 121.3.b.c.120.2
2-11e2-11.10-c2-0-1 $1.81$ $3.29$ $2$ $11^{2}$ 11.10 $2.0$ $2$ ✓ ✓ $0.337$ $0$ $0.434894$ Modular form 121.3.b.c.120.8
2-11e2-11.10-c2-0-10 $1.81$ $3.29$ $2$ $11^{2}$ 11.10 $2.0$ $2$ ✓ ✓ $0.162$ $0$ $2.47358$ Modular form 121.3.b.c.120.4
2-11e2-11.10-c2-0-11 $1.81$ $3.29$ $2$ $11^{2}$ 11.10 $2.0$ $2$ ✓ ✓ $0.310$ $0$ $2.55706$ Modular form 121.3.b.b.120.1
2-11e2-11.10-c2-0-12 $1.81$ $3.29$ $2$ $11^{2}$ 11.10 $2.0$ $2$ ✓ ✓ $0.429$ $0$ $2.74924$ Modular form 121.3.b.a.120.1
2-11e2-11.10-c2-0-13 $1.81$ $3.29$ $2$ $11^{2}$ 11.10 $2.0$ $2$ ✓ ✓ $-0.337$ $0$ $3.66457$ Modular form 121.3.b.c.120.1
2-11e2-11.10-c2-0-2 $1.81$ $3.29$ $2$ $11^{2}$ 11.10 $2.0$ $2$ ✓ ✓ $-0.429$ $0$ $0.590449$ Modular form 121.3.b.a.120.2
2-11e2-11.10-c2-0-3 $1.81$ $3.29$ $2$ $11^{2}$ 11.10 $2.0$ $2$ ✓ ✓ $-0.337$ $0$ $1.12216$ Modular form 121.3.b.c.120.6
2-11e2-11.10-c2-0-4 $1.81$ $3.29$ $2$ $11^{2}$ 11.10 $2.0$ $2$ ✓ ✓ $-0.310$ $0$ $1.74994$ Modular form 121.3.b.b.120.4
2-11e2-11.10-c2-0-5 $1.81$ $3.29$ $2$ $11^{2}$ 11.10 $2.0$ $2$ ✓ ✓ $-0.162$ $0$ $1.88676$ Modular form 121.3.b.c.120.5
2-11e2-11.10-c2-0-6 $1.81$ $3.29$ $2$ $11^{2}$ 11.10 $2.0$ $2$ ✓ ✓ $0.0351$ $0$ $1.92332$ Modular form 121.3.b.b.120.2
2-11e2-11.10-c2-0-7 $1.81$ $3.29$ $2$ $11^{2}$ 11.10 $2.0$ $2$ ✓ ✓ $0.162$ $0$ $1.98323$ Modular form 121.3.b.c.120.7
2-11e2-11.10-c2-0-8 $1.81$ $3.29$ $2$ $11^{2}$ 11.10 $2.0$ $2$ ✓ ✓ $-0.0351$ $0$ $2.16115$ Modular form 121.3.b.b.120.3
2-11e2-11.10-c2-0-9 $1.81$ $3.29$ $2$ $11^{2}$ 11.10 $2.0$ $2$ ✓ ✓ $0.337$ $0$ $2.24944$ Modular form 121.3.b.c.120.3
2-11e2-11.2-c2-0-0 $1.81$ $3.29$ $2$ $11^{2}$ 11.2 $2.0$ $2$ ✓ ✓ $0.442$ $0$ $0.0390892$ Modular form 121.3.d.a.112.1
2-11e2-11.2-c2-0-1 $1.81$ $3.29$ $2$ $11^{2}$ 11.2 $2.0$ $2$ ✓ ✓ $-0.357$ $0$ $0.551385$ Modular form 121.3.d.d.112.1
2-11e2-11.2-c2-0-10 $1.81$ $3.29$ $2$ $11^{2}$ 11.2 $2.0$ $2$ ✓ ✓ $-0.00282$ $0$ $2.83048$ Modular form 121.3.d.f.112.7
2-11e2-11.2-c2-0-11 $1.81$ $3.29$ $2$ $11^{2}$ 11.2 $2.0$ $2$ ✓ ✓ $0.242$ $0$ $2.88509$ Modular form 121.3.d.b.112.1
2-11e2-11.2-c2-0-12 $1.81$ $3.29$ $2$ $11^{2}$ 11.2 $2.0$ $2$ ✓ ✓ $0.196$ $0$ $2.91403$ Modular form 121.3.d.e.112.2
2-11e2-11.2-c2-0-13 $1.81$ $3.29$ $2$ $11^{2}$ 11.2 $2.0$ $2$ ✓ ✓ $-0.435$ $0$ $3.16715$ Modular form 121.3.d.e.112.1
2-11e2-11.2-c2-0-2 $1.81$ $3.29$ $2$ $11^{2}$ 11.2 $2.0$ $2$ ✓ ✓ $-0.0332$ $0$ $0.812638$ Modular form 121.3.d.f.112.1
2-11e2-11.2-c2-0-3 $1.81$ $3.29$ $2$ $11^{2}$ 11.2 $2.0$ $2$ ✓ ✓ $-0.00282$ $0$ $0.893615$ Modular form 121.3.d.f.112.4
2-11e2-11.2-c2-0-4 $1.81$ $3.29$ $2$ $11^{2}$ 11.2 $2.0$ $2$ ✓ ✓ $-0.102$ $0$ $0.938873$ Modular form 121.3.d.f.112.3
2-11e2-11.2-c2-0-5 $1.81$ $3.29$ $2$ $11^{2}$ 11.2 $2.0$ $2$ ✓ ✓ $-0.281$ $0$ $1.33922$ Modular form 121.3.d.c.112.1
2-11e2-11.2-c2-0-6 $1.81$ $3.29$ $2$ $11^{2}$ 11.2 $2.0$ $2$ ✓ ✓ $0.330$ $0$ $2.21831$ Modular form 121.3.d.f.112.2
2-11e2-11.2-c2-0-7 $1.81$ $3.29$ $2$ $11^{2}$ 11.2 $2.0$ $2$ ✓ ✓ $-0.0332$ $0$ $2.23070$ Modular form 121.3.d.f.112.6
2-11e2-11.2-c2-0-8 $1.81$ $3.29$ $2$ $11^{2}$ 11.2 $2.0$ $2$ ✓ ✓ $-0.102$ $0$ $2.34193$ Modular form 121.3.d.f.112.8
2-11e2-11.2-c2-0-9 $1.81$ $3.29$ $2$ $11^{2}$ 11.2 $2.0$ $2$ ✓ ✓ $0.330$ $0$ $2.54364$ Modular form 121.3.d.f.112.5
2-11e2-11.6-c2-0-0 $1.81$ $3.29$ $2$ $11^{2}$ 11.6 $2.0$ $2$ ✓ ✓ $0.435$ $0$ $0.141494$ Modular form 121.3.d.e.94.1
2-11e2-11.6-c2-0-1 $1.81$ $3.29$ $2$ $11^{2}$ 11.6 $2.0$ $2$ ✓ ✓ $-0.330$ $0$ $0.264429$ Modular form 121.3.d.f.94.5
2-11e2-11.6-c2-0-10 $1.81$ $3.29$ $2$ $11^{2}$ 11.6 $2.0$ $2$ ✓ ✓ $0.00282$ $0$ $2.47334$ Modular form 121.3.d.f.94.7
2-11e2-11.6-c2-0-11 $1.81$ $3.29$ $2$ $11^{2}$ 11.6 $2.0$ $2$ ✓ ✓ $0.102$ $0$ $2.64540$ Modular form 121.3.d.f.94.8
2-11e2-11.6-c2-0-12 $1.81$ $3.29$ $2$ $11^{2}$ 11.6 $2.0$ $2$ ✓ ✓ $0.357$ $0$ $2.70561$ Modular form 121.3.d.d.94.1
2-11e2-11.6-c2-0-13 $1.81$ $3.29$ $2$ $11^{2}$ 11.6 $2.0$ $2$ ✓ ✓ $0.281$ $0$ $3.16818$ Modular form 121.3.d.c.94.1
2-11e2-11.6-c2-0-2 $1.81$ $3.29$ $2$ $11^{2}$ 11.6 $2.0$ $2$ ✓ ✓ $0.00282$ $0$ $0.892676$ Modular form 121.3.d.f.94.4
2-11e2-11.6-c2-0-3 $1.81$ $3.29$ $2$ $11^{2}$ 11.6 $2.0$ $2$ ✓ ✓ $-0.330$ $0$ $1.03072$ Modular form 121.3.d.f.94.2
2-11e2-11.6-c2-0-4 $1.81$ $3.29$ $2$ $11^{2}$ 11.6 $2.0$ $2$ ✓ ✓ $-0.196$ $0$ $1.13783$ Modular form 121.3.d.e.94.2
2-11e2-11.6-c2-0-5 $1.81$ $3.29$ $2$ $11^{2}$ 11.6 $2.0$ $2$ ✓ ✓ $-0.242$ $0$ $1.28480$ Modular form 121.3.d.b.94.1
2-11e2-11.6-c2-0-6 $1.81$ $3.29$ $2$ $11^{2}$ 11.6 $2.0$ $2$ ✓ ✓ $0.0332$ $0$ $1.32691$ Modular form 121.3.d.f.94.1
2-11e2-11.6-c2-0-7 $1.81$ $3.29$ $2$ $11^{2}$ 11.6 $2.0$ $2$ ✓ ✓ $0.102$ $0$ $2.01249$ Modular form 121.3.d.f.94.3
2-11e2-11.6-c2-0-8 $1.81$ $3.29$ $2$ $11^{2}$ 11.6 $2.0$ $2$ ✓ ✓ $0.0332$ $0$ $2.38004$ Modular form 121.3.d.f.94.6
2-11e2-11.6-c2-0-9 $1.81$ $3.29$ $2$ $11^{2}$ 11.6 $2.0$ $2$ ✓ ✓ $-0.442$ $0$ $2.39703$ Modular form 121.3.d.a.94.1
2-11e2-11.7-c2-0-0 $1.81$ $3.29$ $2$ $11^{2}$ 11.7 $2.0$ $2$ ✓ ✓ $0.264$ $0$ $0.300921$ Modular form 121.3.d.f.40.2
2-11e2-11.7-c2-0-1 $1.81$ $3.29$ $2$ $11^{2}$ 11.7 $2.0$ $2$ ✓ ✓ $0.360$ $0$ $0.499343$ Modular form 121.3.d.f.40.3
2-11e2-11.7-c2-0-10 $1.81$ $3.29$ $2$ $11^{2}$ 11.7 $2.0$ $2$ ✓ ✓ $0.0979$ $0$ $2.12428$ Modular form 121.3.d.f.40.4
2-11e2-11.7-c2-0-11 $1.81$ $3.29$ $2$ $11^{2}$ 11.7 $2.0$ $2$ ✓ ✓ $0.264$ $0$ $2.79153$ Modular form 121.3.d.f.40.5
2-11e2-11.7-c2-0-12 $1.81$ $3.29$ $2$ $11^{2}$ 11.7 $2.0$ $2$ ✓ ✓ $0.360$ $0$ $3.24462$ Modular form 121.3.d.f.40.8
2-11e2-11.7-c2-0-13 $1.81$ $3.29$ $2$ $11^{2}$ 11.7 $2.0$ $2$ ✓ ✓ $0.396$ $0$ $3.63902$ Modular form 121.3.d.d.40.1
2-11e2-11.7-c2-0-2 $1.81$ $3.29$ $2$ $11^{2}$ 11.7 $2.0$ $2$ ✓ ✓ $-0.349$ $0$ $0.649509$ Modular form 121.3.d.c.40.1
2-11e2-11.7-c2-0-3 $1.81$ $3.29$ $2$ $11^{2}$ 11.7 $2.0$ $2$ ✓ ✓ $-0.208$ $0$ $0.827110$ Modular form 121.3.d.f.40.6
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