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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 (1-50 of 6931 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
2-47-47.46-c0-0-0 $0.153$ $0.0234$ $2$ $47$ 47.46 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $2.98743$ Artin representation 2.47.5t2.a.a Modular form 47.1.b.a.46.1
2-47-47.46-c0-0-1 $0.153$ $0.0234$ $2$ $47$ 47.46 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $4.44331$ Artin representation 2.47.5t2.a.b Modular form 47.1.b.a.46.2
2-47-1.1-c1-0-0 $0.612$ $0.375$ $2$ $47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.22053$ Modular form 47.2.a.a.1.1
2-47-1.1-c1-0-1 $0.612$ $0.375$ $2$ $47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $3.28328$ Modular form 47.2.a.a.1.3
2-47-1.1-c1-0-2 $0.612$ $0.375$ $2$ $47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $3.57682$ Modular form 47.2.a.a.1.2
2-47-1.1-c1-0-3 $0.612$ $0.375$ $2$ $47$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $3.99628$ Modular form 47.2.a.a.1.4
2-47-47.12-c1-0-0 $0.612$ $0.375$ $2$ $47$ 47.12 $1.0$ $1$ ✓ ✓ $-0.165$ $0$ $1.81448$ Modular form 47.2.c.a.12.1
2-47-47.12-c1-0-1 $0.612$ $0.375$ $2$ $47$ 47.12 $1.0$ $1$ ✓ ✓ $0.0189$ $0$ $3.59028$ Modular form 47.2.c.a.12.3
2-47-47.12-c1-0-2 $0.612$ $0.375$ $2$ $47$ 47.12 $1.0$ $1$ ✓ ✓ $0.302$ $0$ $4.09576$ Modular form 47.2.c.a.12.2
2-47-47.14-c1-0-0 $0.612$ $0.375$ $2$ $47$ 47.14 $1.0$ $1$ ✓ ✓ $-0.191$ $0$ $2.03142$ Modular form 47.2.c.a.14.2
2-47-47.14-c1-0-1 $0.612$ $0.375$ $2$ $47$ 47.14 $1.0$ $1$ ✓ ✓ $-0.0968$ $0$ $3.42647$ Modular form 47.2.c.a.14.1
2-47-47.14-c1-0-2 $0.612$ $0.375$ $2$ $47$ 47.14 $1.0$ $1$ ✓ ✓ $0.190$ $0$ $4.11113$ Modular form 47.2.c.a.14.3
2-47-47.16-c1-0-0 $0.612$ $0.375$ $2$ $47$ 47.16 $1.0$ $1$ ✓ ✓ $0.0135$ $0$ $2.15516$ Modular form 47.2.c.a.16.1
2-47-47.16-c1-0-1 $0.612$ $0.375$ $2$ $47$ 47.16 $1.0$ $1$ ✓ ✓ $-0.0371$ $0$ $3.88019$ Modular form 47.2.c.a.16.3
2-47-47.16-c1-0-2 $0.612$ $0.375$ $2$ $47$ 47.16 $1.0$ $1$ ✓ ✓ $0.257$ $0$ $3.97691$ Modular form 47.2.c.a.16.2
2-47-47.17-c1-0-0 $0.612$ $0.375$ $2$ $47$ 47.17 $1.0$ $1$ ✓ ✓ $-0.147$ $0$ $2.98343$ Modular form 47.2.c.a.17.3
2-47-47.17-c1-0-1 $0.612$ $0.375$ $2$ $47$ 47.17 $1.0$ $1$ ✓ ✓ $0.101$ $0$ $3.34345$ Modular form 47.2.c.a.17.2
2-47-47.17-c1-0-2 $0.612$ $0.375$ $2$ $47$ 47.17 $1.0$ $1$ ✓ ✓ $-0.450$ $0$ $5.40452$ Modular form 47.2.c.a.17.1
2-47-47.18-c1-0-0 $0.612$ $0.375$ $2$ $47$ 47.18 $1.0$ $1$ ✓ ✓ $-0.319$ $0$ $2.09109$ Modular form 47.2.c.a.18.1
2-47-47.18-c1-0-1 $0.612$ $0.375$ $2$ $47$ 47.18 $1.0$ $1$ ✓ ✓ $-0.0197$ $0$ $2.97043$ Modular form 47.2.c.a.18.2
2-47-47.18-c1-0-2 $0.612$ $0.375$ $2$ $47$ 47.18 $1.0$ $1$ ✓ ✓ $0.191$ $0$ $4.62552$ Modular form 47.2.c.a.18.3
2-47-47.2-c1-0-0 $0.612$ $0.375$ $2$ $47$ 47.2 $1.0$ $1$ ✓ ✓ $-0.155$ $0$ $1.26355$ Modular form 47.2.c.a.2.1
2-47-47.2-c1-0-1 $0.612$ $0.375$ $2$ $47$ 47.2 $1.0$ $1$ ✓ ✓ $-0.0343$ $0$ $3.37148$ Modular form 47.2.c.a.2.3
2-47-47.2-c1-0-2 $0.612$ $0.375$ $2$ $47$ 47.2 $1.0$ $1$ ✓ ✓ $0.0734$ $0$ $3.38584$ Modular form 47.2.c.a.2.2
2-47-47.21-c1-0-0 $0.612$ $0.375$ $2$ $47$ 47.21 $1.0$ $1$ ✓ ✓ $-0.0801$ $0$ $2.31822$ Modular form 47.2.c.a.21.2
2-47-47.21-c1-0-1 $0.612$ $0.375$ $2$ $47$ 47.21 $1.0$ $1$ ✓ ✓ $-0.139$ $0$ $3.04463$ Modular form 47.2.c.a.21.3
2-47-47.21-c1-0-2 $0.612$ $0.375$ $2$ $47$ 47.21 $1.0$ $1$ ✓ ✓ $0.283$ $0$ $4.15825$ Modular form 47.2.c.a.21.1
2-47-47.24-c1-0-0 $0.612$ $0.375$ $2$ $47$ 47.24 $1.0$ $1$ ✓ ✓ $-0.0734$ $0$ $2.54311$ Modular form 47.2.c.a.24.2
2-47-47.24-c1-0-1 $0.612$ $0.375$ $2$ $47$ 47.24 $1.0$ $1$ ✓ ✓ $0.155$ $0$ $2.62423$ Modular form 47.2.c.a.24.1
2-47-47.24-c1-0-2 $0.612$ $0.375$ $2$ $47$ 47.24 $1.0$ $1$ ✓ ✓ $0.0343$ $0$ $3.86526$ Modular form 47.2.c.a.24.3
2-47-47.25-c1-0-0 $0.612$ $0.375$ $2$ $47$ 47.25 $1.0$ $1$ ✓ ✓ $-0.313$ $0$ $1.17673$ Modular form 47.2.c.a.25.2
2-47-47.25-c1-0-1 $0.612$ $0.375$ $2$ $47$ 47.25 $1.0$ $1$ ✓ ✓ $-0.105$ $0$ $2.48707$ Modular form 47.2.c.a.25.1
2-47-47.25-c1-0-2 $0.612$ $0.375$ $2$ $47$ 47.25 $1.0$ $1$ ✓ ✓ $0.0422$ $0$ $3.47909$ Modular form 47.2.c.a.25.3
2-47-47.27-c1-0-0 $0.612$ $0.375$ $2$ $47$ 47.27 $1.0$ $1$ ✓ ✓ $-0.303$ $0$ $1.94601$ Modular form 47.2.c.a.27.3
2-47-47.27-c1-0-1 $0.612$ $0.375$ $2$ $47$ 47.27 $1.0$ $1$ ✓ ✓ $0.0144$ $0$ $3.07092$ Modular form 47.2.c.a.27.2
2-47-47.27-c1-0-2 $0.612$ $0.375$ $2$ $47$ 47.27 $1.0$ $1$ ✓ ✓ $0.274$ $0$ $4.55767$ Modular form 47.2.c.a.27.1
2-47-47.28-c1-0-0 $0.612$ $0.375$ $2$ $47$ 47.28 $1.0$ $1$ ✓ ✓ $-0.332$ $0$ $1.85770$ Modular form 47.2.c.a.28.1
2-47-47.28-c1-0-1 $0.612$ $0.375$ $2$ $47$ 47.28 $1.0$ $1$ ✓ ✓ $-0.104$ $0$ $2.64527$ Modular form 47.2.c.a.28.2
2-47-47.28-c1-0-2 $0.612$ $0.375$ $2$ $47$ 47.28 $1.0$ $1$ ✓ ✓ $0.213$ $0$ $4.58459$ Modular form 47.2.c.a.28.3
2-47-47.3-c1-0-0 $0.612$ $0.375$ $2$ $47$ 47.3 $1.0$ $1$ ✓ ✓ $-0.257$ $0$ $1.50560$ Modular form 47.2.c.a.3.2
2-47-47.3-c1-0-1 $0.612$ $0.375$ $2$ $47$ 47.3 $1.0$ $1$ ✓ ✓ $-0.0135$ $0$ $2.67685$ Modular form 47.2.c.a.3.1
2-47-47.3-c1-0-2 $0.612$ $0.375$ $2$ $47$ 47.3 $1.0$ $1$ ✓ ✓ $0.0371$ $0$ $3.57481$ Modular form 47.2.c.a.3.3
2-47-47.32-c1-0-0 $0.612$ $0.375$ $2$ $47$ 47.32 $1.0$ $1$ ✓ ✓ $0.105$ $0$ $3.04485$ Modular form 47.2.c.a.32.1
2-47-47.32-c1-0-1 $0.612$ $0.375$ $2$ $47$ 47.32 $1.0$ $1$ ✓ ✓ $-0.0422$ $0$ $3.38500$ Modular form 47.2.c.a.32.3
2-47-47.32-c1-0-2 $0.612$ $0.375$ $2$ $47$ 47.32 $1.0$ $1$ ✓ ✓ $0.313$ $0$ $4.36243$ Modular form 47.2.c.a.32.2
2-47-47.34-c1-0-0 $0.612$ $0.375$ $2$ $47$ 47.34 $1.0$ $1$ ✓ ✓ $-0.191$ $0$ $2.38313$ Modular form 47.2.c.a.34.3
2-47-47.34-c1-0-1 $0.612$ $0.375$ $2$ $47$ 47.34 $1.0$ $1$ ✓ ✓ $0.0197$ $0$ $3.41390$ Modular form 47.2.c.a.34.2
2-47-47.34-c1-0-2 $0.612$ $0.375$ $2$ $47$ 47.34 $1.0$ $1$ ✓ ✓ $0.319$ $0$ $4.25453$ Modular form 47.2.c.a.34.1
2-47-47.36-c1-0-0 $0.612$ $0.375$ $2$ $47$ 47.36 $1.0$ $1$ ✓ ✓ $0.450$ $0$ $0.432386$ Modular form 47.2.c.a.36.1
2-47-47.36-c1-0-1 $0.612$ $0.375$ $2$ $47$ 47.36 $1.0$ $1$ ✓ ✓ $-0.101$ $0$ $2.44909$ Modular form 47.2.c.a.36.2
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