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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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Results (11 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
2-5-1.1-c13-0-0 $2.31$ $5.36$ $2$ $5$ 1.1 $13.0$ $13$ ✓ ✓ ✓ $0$ $0$ $1.05916$ Modular form 5.14.a.b.1.1
2-5-1.1-c13-0-1 $2.31$ $5.36$ $2$ $5$ 1.1 $13.0$ $13$ ✓ ✓ ✓ $0$ $0$ $2.45800$ Modular form 5.14.a.b.1.2
2-5-1.1-c13-0-2 $2.31$ $5.36$ $2$ $5$ 1.1 $13.0$ $13$ ✓ ✓ ✓ $0$ $0$ $2.79092$ Modular form 5.14.a.b.1.3
2-5-1.1-c13-0-3 $2.31$ $5.36$ $2$ $5$ 1.1 $13.0$ $13$ ✓ ✓ ✓ $0.5$ $1$ $2.83809$ Modular form 5.14.a.a.1.1
2-5-1.1-c13-0-4 $2.31$ $5.36$ $2$ $5$ 1.1 $13.0$ $13$ ✓ ✓ ✓ $0.5$ $1$ $3.91275$ Modular form 5.14.a.a.1.2
2-5-5.4-c13-0-0 $2.31$ $5.36$ $2$ $5$ 5.4 $13.0$ $13$ ✓ ✓ $-0.183$ $0$ $0.581497$ Modular form 5.14.b.a.4.1
2-5-5.4-c13-0-1 $2.31$ $5.36$ $2$ $5$ 5.4 $13.0$ $13$ ✓ ✓ $0.489$ $0$ $1.26774$ Modular form 5.14.b.a.4.5
2-5-5.4-c13-0-2 $2.31$ $5.36$ $2$ $5$ 5.4 $13.0$ $13$ ✓ ✓ $-0.211$ $0$ $1.27866$ Modular form 5.14.b.a.4.4
2-5-5.4-c13-0-3 $2.31$ $5.36$ $2$ $5$ 5.4 $13.0$ $13$ ✓ ✓ $0.211$ $0$ $2.53271$ Modular form 5.14.b.a.4.3
2-5-5.4-c13-0-4 $2.31$ $5.36$ $2$ $5$ 5.4 $13.0$ $13$ ✓ ✓ $0.183$ $0$ $2.91190$ Modular form 5.14.b.a.4.6
2-5-5.4-c13-0-5 $2.31$ $5.36$ $2$ $5$ 5.4 $13.0$ $13$ ✓ ✓ $-0.489$ $0$ $4.42451$ Modular form 5.14.b.a.4.2
  displayed columns for results