↑

Learn more

Refine search

Lowest zero Conductor Analytic conductor Central character Analytic rank
Degree Bad \(p\) Root analytic conductor Motivic weight Spectral label
Root number Primitive Origin Exclude origin
Sort order Select

Results (33 matches)

  displayed columns for results
Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim $\epsilon$ $r$ First zero Origin
2-588-3.2-c0-0-0 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 3.2 $0.0$ 0 ✓ $1$ $0$ $1.34244$ Artin representation 2.588.6t3.b Artin representation 2.588.6t3.b.a Modular form 588.1.c.a Modular form 588.1.c.a.197.1
2-588-3.2-c0-0-1 $0.541$ $0.293$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 3.2 $0.0$ 0 ✓ $1$ $0$ $1.93605$ Artin representation 2.588.3t2.a Artin representation 2.588.3t2.a.a Modular form 588.1.c.b Modular form 588.1.c.b.197.1
2-588-1.1-c1-0-0 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ $1$ $0$ $0.972099$ Elliptic curve 588.a Modular form 588.2.a.a Modular form 588.2.a.a.1.1
2-588-1.1-c1-0-1 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ $1$ $0$ $1.14653$ Elliptic curve 588.d Modular form 588.2.a.d Modular form 588.2.a.d.1.1
2-588-1.1-c1-0-2 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ $1$ $0$ $1.51338$ Elliptic curve 588.e Modular form 588.2.a.e Modular form 588.2.a.e.1.1
2-588-1.1-c1-0-3 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ $1$ $0$ $1.52796$ Elliptic curve 588.f Modular form 588.2.a.f Modular form 588.2.a.f.1.1
2-588-1.1-c1-0-4 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ $-1$ $1$ $1.96358$ Elliptic curve 588.b Modular form 588.2.a.b Modular form 588.2.a.b.1.1
2-588-1.1-c1-0-5 $2.16$ $4.69$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $1.0$ $1$ ✓ $-1$ $1$ $2.08973$ Elliptic curve 588.c Modular form 588.2.a.c Modular form 588.2.a.c.1.1
2-588-3.2-c2-0-10 $4.00$ $16.0$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 3.2 $2.0$ $2$ ✓ $1$ $0$ $0.799187$ Modular form 588.3.c.a Modular form 588.3.c.a.197.1
2-588-3.2-c2-0-16 $4.00$ $16.0$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 3.2 $2.0$ $2$ ✓ $1$ $0$ $1.24346$ Modular form 588.3.c.b Modular form 588.3.c.b.197.1
2-588-3.2-c2-0-17 $4.00$ $16.0$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 3.2 $2.0$ $2$ ✓ $1$ $0$ $1.26331$ Modular form 588.3.c.c Modular form 588.3.c.c.197.1
2-588-1.1-c3-0-1 $5.89$ $34.6$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ $1$ $0$ $0.494551$ Modular form 588.4.a.a Modular form 588.4.a.a.1.1
2-588-1.1-c3-0-18 $5.89$ $34.6$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ $-1$ $1$ $1.75181$ Modular form 588.4.a.d Modular form 588.4.a.d.1.1
2-588-1.1-c3-0-19 $5.89$ $34.6$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ $-1$ $1$ $1.76701$ Modular form 588.4.a.e Modular form 588.4.a.e.1.1
2-588-1.1-c3-0-3 $5.89$ $34.6$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ $1$ $0$ $0.784386$ Modular form 588.4.a.b Modular form 588.4.a.b.1.1
2-588-1.1-c3-0-7 $5.89$ $34.6$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ $1$ $0$ $1.05713$ Modular form 588.4.a.c Modular form 588.4.a.c.1.1
2-588-3.2-c4-0-19 $7.79$ $60.7$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 3.2 $4.0$ $4$ ✓ $1$ $0$ $0.592832$ Modular form 588.5.c.a Modular form 588.5.c.a.197.1
2-588-3.2-c4-0-23 $7.79$ $60.7$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 3.2 $4.0$ $4$ ✓ $1$ $0$ $0.691132$ Modular form 588.5.c.b Modular form 588.5.c.b.197.1
2-588-3.2-c4-0-33 $7.79$ $60.7$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 3.2 $4.0$ $4$ ✓ $1$ $0$ $0.924824$ Modular form 588.5.c.c Modular form 588.5.c.c.197.1
2-588-1.1-c5-0-11 $9.71$ $94.3$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ $1$ $0$ $0.809272$ Modular form 588.6.a.e Modular form 588.6.a.e.1.1
2-588-1.1-c5-0-13 $9.71$ $94.3$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ $1$ $0$ $0.881586$ Modular form 588.6.a.f Modular form 588.6.a.f.1.1
2-588-1.1-c5-0-16 $9.71$ $94.3$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ $-1$ $1$ $1.03333$ Modular form 588.6.a.a Modular form 588.6.a.a.1.1
2-588-1.1-c5-0-24 $9.71$ $94.3$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ $-1$ $1$ $1.32341$ Modular form 588.6.a.d Modular form 588.6.a.d.1.1
2-588-1.1-c5-0-25 $9.71$ $94.3$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ $-1$ $1$ $1.32760$ Modular form 588.6.a.b Modular form 588.6.a.b.1.1
2-588-1.1-c5-0-28 $9.71$ $94.3$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $5.0$ $5$ ✓ $-1$ $1$ $1.45243$ Modular form 588.6.a.c Modular form 588.6.a.c.1.1
2-588-3.2-c6-0-27 $11.6$ $135.$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 3.2 $6.0$ $6$ ✓ $1$ $0$ $0.436763$ Modular form 588.7.c.a Modular form 588.7.c.a.197.1
2-588-3.2-c6-0-44 $11.6$ $135.$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 3.2 $6.0$ $6$ ✓ $1$ $0$ $0.727597$ Modular form 588.7.c.b Modular form 588.7.c.b.197.1
2-588-3.2-c6-0-45 $11.6$ $135.$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 3.2 $6.0$ $6$ ✓ $1$ $0$ $0.742977$ Modular form 588.7.c.c Modular form 588.7.c.c.197.1
2-588-3.2-c6-0-55 $11.6$ $135.$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 3.2 $6.0$ $6$ ✓ $1$ $0$ $0.930369$ Modular form 588.7.c.d Modular form 588.7.c.d.197.1
2-588-1.1-c7-0-17 $13.5$ $183.$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $7.0$ $7$ ✓ $1$ $0$ $0.748179$ Modular form 588.8.a.b Modular form 588.8.a.b.1.1
2-588-1.1-c7-0-3 $13.5$ $183.$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $7.0$ $7$ ✓ $1$ $0$ $0.328354$ Modular form 588.8.a.a Modular form 588.8.a.a.1.1
2-588-1.1-c7-0-38 $13.5$ $183.$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $7.0$ $7$ ✓ $-1$ $1$ $1.31369$ Modular form 588.8.a.c Modular form 588.8.a.c.1.1
2-588-1.1-c7-0-45 $13.5$ $183.$ $2$ $2^{2} \cdot 3 \cdot 7^{2}$ 1.1 $7.0$ $7$ ✓ $-1$ $1$ $1.51494$ Modular form 588.8.a.d Modular form 588.8.a.d.1.1
  displayed columns for results