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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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Results (14 matches)

  displayed columns for results
Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-31e2-31.11-c0-0-0 $0.692$ $0.479$ $2$ $31^{2}$ 31.11 $0.0$ 0 ✓ ✓ $0.0467$ $0$ $1.16416$ Modular form 961.1.h.a.414.1
2-31e2-31.12-c0-0-0 $0.692$ $0.479$ $2$ $31^{2}$ 31.12 $0.0$ 0 ✓ ✓ $-0.0251$ $0$ $1.82322$ Modular form 961.1.h.a.229.1
2-31e2-31.13-c0-0-0 $0.692$ $0.479$ $2$ $31^{2}$ 31.13 $0.0$ 0 ✓ ✓ $0.0251$ $0$ $1.54376$ Modular form 961.1.h.a.726.1
2-31e2-31.15-c0-0-0 $0.692$ $0.479$ $2$ $31^{2}$ 31.15 $0.0$ 0 ✓ ✓ $-0.102$ $0$ $0.990534$ Artin representation 2.961.15t4.a.a Modular form 961.1.f.a.573.1
2-31e2-31.17-c0-0-0 $0.692$ $0.479$ $2$ $31^{2}$ 31.17 $0.0$ 0 ✓ ✓ $-0.0467$ $0$ $1.81280$ Modular form 961.1.h.a.513.1
2-31e2-31.21-c0-0-0 $0.692$ $0.479$ $2$ $31^{2}$ 31.21 $0.0$ 0 ✓ ✓ $-0.133$ $0$ $1.62630$ Modular form 961.1.h.a.145.1
2-31e2-31.22-c0-0-0 $0.692$ $0.479$ $2$ $31^{2}$ 31.22 $0.0$ 0 ✓ ✓ $-0.399$ $0$ $1.00061$ Modular form 961.1.h.a.115.1
2-31e2-31.23-c0-0-0 $0.692$ $0.479$ $2$ $31^{2}$ 31.23 $0.0$ 0 ✓ ✓ $-0.456$ $0$ $0.677413$ Artin representation 2.961.15t4.a.c Modular form 961.1.f.a.333.1
2-31e2-31.24-c0-0-0 $0.692$ $0.479$ $2$ $31^{2}$ 31.24 $0.0$ 0 ✓ ✓ $0.399$ $0$ $2.27960$ Modular form 961.1.h.a.117.1
2-31e2-31.26-c0-0-0 $0.692$ $0.479$ $2$ $31^{2}$ 31.26 $0.0$ 0 ✓ ✓ $0.0638$ $0$ $1.39847$ Artin representation 2.961.6t5.a.b Modular form 961.1.e.a.522.1
2-31e2-31.27-c0-0-0 $0.692$ $0.479$ $2$ $31^{2}$ 31.27 $0.0$ 0 ✓ ✓ $0.456$ $0$ $2.18994$ Artin representation 2.961.15t4.a.b Modular form 961.1.f.a.430.1
2-31e2-31.29-c0-0-0 $0.692$ $0.479$ $2$ $31^{2}$ 31.29 $0.0$ 0 ✓ ✓ $0.102$ $0$ $2.12279$ Artin representation 2.961.15t4.a.d Modular form 961.1.f.a.587.1
2-31e2-31.3-c0-0-0 $0.692$ $0.479$ $2$ $31^{2}$ 31.3 $0.0$ 0 ✓ ✓ $0.133$ $0$ $1.91889$ Modular form 961.1.h.a.623.1
2-31e2-31.6-c0-0-0 $0.692$ $0.479$ $2$ $31^{2}$ 31.6 $0.0$ 0 ✓ ✓ $-0.0638$ $0$ $1.01023$ Artin representation 2.961.6t5.a.a Modular form 961.1.e.a.440.1
  displayed columns for results