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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 (34 matches)

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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
2-58-1.1-c1-0-0 $0.680$ $0.463$ $2$ $2 \cdot 29$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $3.07071$ Elliptic curve 58.b Modular form 58.2.a.b Modular form 58.2.a.b.1.1
2-58-1.1-c1-0-1 $0.680$ $0.463$ $2$ $2 \cdot 29$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $4.22146$ Elliptic curve 58.a Modular form 58.2.a.a Modular form 58.2.a.a.1.1
2-58-29.13-c1-0-0 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.13 $1.0$ $1$ ✓ ✓ $-0.171$ $0$ $2.43973$ Modular form 58.2.e.a.13.1
2-58-29.13-c1-0-1 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.13 $1.0$ $1$ ✓ ✓ $0.251$ $0$ $4.23584$ Modular form 58.2.e.a.13.2
2-58-29.16-c1-0-0 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.16 $1.0$ $1$ ✓ ✓ $-0.167$ $0$ $1.46253$ Modular form 58.2.d.b.45.1
2-58-29.16-c1-0-1 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.16 $1.0$ $1$ ✓ ✓ $0.144$ $0$ $3.17937$ Modular form 58.2.d.b.45.2
2-58-29.16-c1-0-2 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.16 $1.0$ $1$ ✓ ✓ $-0.0211$ $0$ $3.42700$ Modular form 58.2.d.a.45.1
2-58-29.20-c1-0-0 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.20 $1.0$ $1$ ✓ ✓ $-0.144$ $0$ $2.04754$ Modular form 58.2.d.b.49.2
2-58-29.20-c1-0-1 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.20 $1.0$ $1$ ✓ ✓ $0.167$ $0$ $3.11927$ Modular form 58.2.d.b.49.1
2-58-29.20-c1-0-2 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.20 $1.0$ $1$ ✓ ✓ $0.0211$ $0$ $3.25524$ Modular form 58.2.d.a.49.1
2-58-29.22-c1-0-0 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.22 $1.0$ $1$ ✓ ✓ $-0.0248$ $0$ $2.89830$ Modular form 58.2.e.a.51.2
2-58-29.22-c1-0-1 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.22 $1.0$ $1$ ✓ ✓ $0.0842$ $0$ $2.95412$ Modular form 58.2.e.a.51.1
2-58-29.23-c1-0-0 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.23 $1.0$ $1$ ✓ ✓ $-0.0523$ $0$ $2.42782$ Modular form 58.2.d.b.23.1
2-58-29.23-c1-0-1 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.23 $1.0$ $1$ ✓ ✓ $0.0556$ $0$ $3.16637$ Modular form 58.2.d.a.23.1
2-58-29.23-c1-0-2 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.23 $1.0$ $1$ ✓ ✓ $0.138$ $0$ $3.96787$ Modular form 58.2.d.b.23.2
2-58-29.24-c1-0-0 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.24 $1.0$ $1$ ✓ ✓ $-0.0556$ $0$ $2.10258$ Modular form 58.2.d.a.53.1
2-58-29.24-c1-0-1 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.24 $1.0$ $1$ ✓ ✓ $-0.138$ $0$ $2.59676$ Modular form 58.2.d.b.53.2
2-58-29.24-c1-0-2 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.24 $1.0$ $1$ ✓ ✓ $0.0523$ $0$ $3.59636$ Modular form 58.2.d.b.53.1
2-58-29.25-c1-0-0 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.25 $1.0$ $1$ ✓ ✓ $-0.318$ $0$ $1.29498$ Modular form 58.2.d.b.25.1
2-58-29.25-c1-0-1 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.25 $1.0$ $1$ ✓ ✓ $-0.0732$ $0$ $2.88304$ Modular form 58.2.d.b.25.2
2-58-29.25-c1-0-2 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.25 $1.0$ $1$ ✓ ✓ $0.136$ $0$ $3.49357$ Modular form 58.2.d.a.25.1
2-58-29.28-c1-0-0 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.28 $1.0$ $1$ ✓ ✓ $-0.189$ $0$ $2.15684$ Modular form 58.2.b.a.57.2
2-58-29.28-c1-0-1 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.28 $1.0$ $1$ ✓ ✓ $0.189$ $0$ $3.67787$ Modular form 58.2.b.a.57.1
2-58-29.4-c1-0-0 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.4 $1.0$ $1$ ✓ ✓ $-0.0842$ $0$ $2.02862$ Modular form 58.2.e.a.33.1
2-58-29.4-c1-0-1 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.4 $1.0$ $1$ ✓ ✓ $0.0248$ $0$ $3.40073$ Modular form 58.2.e.a.33.2
2-58-29.5-c1-0-0 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.5 $1.0$ $1$ ✓ ✓ $-0.106$ $0$ $2.16443$ Modular form 58.2.e.a.5.1
2-58-29.5-c1-0-1 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.5 $1.0$ $1$ ✓ ✓ $0.0864$ $0$ $3.50494$ Modular form 58.2.e.a.5.2
2-58-29.6-c1-0-0 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.6 $1.0$ $1$ ✓ ✓ $-0.0864$ $0$ $2.73890$ Modular form 58.2.e.a.35.2
2-58-29.6-c1-0-1 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.6 $1.0$ $1$ ✓ ✓ $0.106$ $0$ $2.83909$ Modular form 58.2.e.a.35.1
2-58-29.7-c1-0-0 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.7 $1.0$ $1$ ✓ ✓ $-0.136$ $0$ $2.51267$ Modular form 58.2.d.a.7.1
2-58-29.7-c1-0-1 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.7 $1.0$ $1$ ✓ ✓ $0.0732$ $0$ $2.97289$ Modular form 58.2.d.b.7.2
2-58-29.7-c1-0-2 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.7 $1.0$ $1$ ✓ ✓ $0.318$ $0$ $4.15671$ Modular form 58.2.d.b.7.1
2-58-29.9-c1-0-0 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.9 $1.0$ $1$ ✓ ✓ $-0.251$ $0$ $1.76119$ Modular form 58.2.e.a.9.2
2-58-29.9-c1-0-1 $0.680$ $0.463$ $2$ $2 \cdot 29$ 29.9 $1.0$ $1$ ✓ ✓ $0.171$ $0$ $3.83227$ Modular form 58.2.e.a.9.1
  displayed columns for results