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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-c4-0-0 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $-0.189$ $0$ $0.0825426$ Modular form 121.5.b.b.120.3
2-11e2-11.10-c4-0-1 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $0.0701$ $0$ $0.101313$ Modular form 121.5.b.a.120.2
2-11e2-11.10-c4-0-10 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $0.464$ $0$ $0.672897$ Modular form 121.5.b.b.120.11
2-11e2-11.10-c4-0-11 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $-0.0701$ $0$ $0.775105$ Modular form 121.5.b.a.120.7
2-11e2-11.10-c4-0-12 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $0.162$ $0$ $0.902171$ Modular form 121.5.b.c.120.5
2-11e2-11.10-c4-0-13 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $-0.189$ $0$ $0.967575$ Modular form 121.5.b.b.120.12
2-11e2-11.10-c4-0-14 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $-0.0701$ $0$ $1.01297$ Modular form 121.5.b.a.120.4
2-11e2-11.10-c4-0-15 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $-0.189$ $0$ $1.27972$ Modular form 121.5.b.b.120.7
2-11e2-11.10-c4-0-16 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $0.189$ $0$ $1.45384$ Modular form 121.5.b.b.120.10
2-11e2-11.10-c4-0-17 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $-0.337$ $0$ $1.48089$ Modular form 121.5.b.c.120.11
2-11e2-11.10-c4-0-18 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $0.0701$ $0$ $1.60010$ Modular form 121.5.b.a.120.5
2-11e2-11.10-c4-0-19 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $0.0701$ $0$ $1.74323$ Modular form 121.5.b.a.120.3
2-11e2-11.10-c4-0-2 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $-0.0701$ $0$ $0.181238$ Modular form 121.5.b.a.120.1
2-11e2-11.10-c4-0-20 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $-0.162$ $0$ $1.75624$ Modular form 121.5.b.c.120.9
2-11e2-11.10-c4-0-21 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $0.0701$ $0$ $1.83079$ Modular form 121.5.b.a.120.8
2-11e2-11.10-c4-0-22 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $-0.464$ $0$ $1.88789$ Modular form 121.5.b.b.120.5
2-11e2-11.10-c4-0-23 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $-0.0701$ $0$ $1.89656$ Modular form 121.5.b.a.120.6
2-11e2-11.10-c4-0-24 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $0.337$ $0$ $1.95392$ Modular form 121.5.b.c.120.6
2-11e2-11.10-c4-0-25 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $0.162$ $0$ $1.97430$ Modular form 121.5.b.c.120.10
2-11e2-11.10-c4-0-26 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $0.162$ $0$ $1.99406$ Modular form 121.5.b.c.120.4
2-11e2-11.10-c4-0-27 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $0.337$ $0$ $2.03567$ Modular form 121.5.b.c.120.2
2-11e2-11.10-c4-0-28 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $0.189$ $0$ $2.11496$ Modular form 121.5.b.b.120.6
2-11e2-11.10-c4-0-29 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $0.464$ $0$ $2.17127$ Modular form 121.5.b.b.120.4
2-11e2-11.10-c4-0-3 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $-0.162$ $0$ $0.278133$ Modular form 121.5.b.c.120.3
2-11e2-11.10-c4-0-30 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $-0.337$ $0$ $2.51024$ Modular form 121.5.b.c.120.1
2-11e2-11.10-c4-0-31 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $-0.464$ $0$ $2.58600$ Modular form 121.5.b.b.120.2
2-11e2-11.10-c4-0-4 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $0.464$ $0$ $0.403650$ Modular form 121.5.b.b.120.8
2-11e2-11.10-c4-0-5 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $-0.337$ $0$ $0.473776$ Modular form 121.5.b.c.120.7
2-11e2-11.10-c4-0-6 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $0.337$ $0$ $0.512947$ Modular form 121.5.b.c.120.12
2-11e2-11.10-c4-0-7 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $-0.464$ $0$ $0.556338$ Modular form 121.5.b.b.120.9
2-11e2-11.10-c4-0-8 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $0.189$ $0$ $0.578057$ Modular form 121.5.b.b.120.1
2-11e2-11.10-c4-0-9 $3.53$ $12.5$ $2$ $11^{2}$ 11.10 $4.0$ $4$ ✓ ✓ $-0.162$ $0$ $0.626986$ Modular form 121.5.b.c.120.8
2-11e2-11.2-c4-0-0 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $0.466$ $0$ $0.110120$ Modular form 121.5.d.g.112.10
2-11e2-11.2-c4-0-1 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $0.397$ $0$ $0.131576$ Modular form 121.5.d.g.112.9
2-11e2-11.2-c4-0-10 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $0.497$ $0$ $0.661266$ Modular form 121.5.d.g.112.11
2-11e2-11.2-c4-0-11 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $-0.169$ $0$ $0.725842$ Modular form 121.5.d.g.112.2
2-11e2-11.2-c4-0-12 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $0.0649$ $0$ $0.730534$ Modular form 121.5.d.f.112.1
2-11e2-11.2-c4-0-13 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $0.142$ $0$ $0.936143$ Modular form 121.5.d.d.112.1
2-11e2-11.2-c4-0-14 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $-0.0572$ $0$ $0.973280$ Modular form 121.5.d.e.112.2
2-11e2-11.2-c4-0-15 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $0.0649$ $0$ $0.974393$ Modular form 121.5.d.f.112.6
2-11e2-11.2-c4-0-16 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $0.218$ $0$ $0.984225$ Modular form 121.5.d.c.112.2
2-11e2-11.2-c4-0-17 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $-0.257$ $0$ $1.05926$ Modular form 121.5.d.b.112.2
2-11e2-11.2-c4-0-18 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $-0.303$ $0$ $1.16898$ Modular form 121.5.d.f.112.8
2-11e2-11.2-c4-0-19 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $0.0649$ $0$ $1.24011$ Modular form 121.5.d.f.112.4
2-11e2-11.2-c4-0-2 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $-0.257$ $0$ $0.149680$ Modular form 121.5.d.a.112.1
2-11e2-11.2-c4-0-20 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $0.218$ $0$ $1.32536$ Modular form 121.5.d.c.112.1
2-11e2-11.2-c4-0-21 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $0.397$ $0$ $1.44071$ Modular form 121.5.d.g.112.3
2-11e2-11.2-c4-0-22 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $-0.169$ $0$ $1.61709$ Modular form 121.5.d.g.112.12
2-11e2-11.2-c4-0-23 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $0.142$ $0$ $1.90495$ Modular form 121.5.d.d.112.3
2-11e2-11.2-c4-0-24 $3.53$ $12.5$ $2$ $11^{2}$ 11.2 $4.0$ $4$ ✓ ✓ $-0.0572$ $0$ $2.12095$ Modular form 121.5.d.e.112.3
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