Refine search

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
Sort order Select

Results (1-50 of 215 matches)

Next   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
2-75-15.14-c12-0-0 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.465$ $0$ $0.00868571$ Modular form 75.13.d.d.74.28
2-75-15.14-c12-0-1 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.338$ $0$ $0.0363696$ Modular form 75.13.d.d.74.26
2-75-15.14-c12-0-10 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.364$ $0$ $0.233392$ Modular form 75.13.d.b.74.2
2-75-15.14-c12-0-11 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.309$ $0$ $0.243414$ Modular form 75.13.d.d.74.8
2-75-15.14-c12-0-12 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.105$ $0$ $0.247689$ Modular form 75.13.d.d.74.12
2-75-15.14-c12-0-13 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.117$ $0$ $0.254231$ Modular form 75.13.d.c.74.14
2-75-15.14-c12-0-14 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.0402$ $0$ $0.303337$ Modular form 75.13.d.c.74.2
2-75-15.14-c12-0-15 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.128$ $0$ $0.303759$ Modular form 75.13.d.d.74.1
2-75-15.14-c12-0-16 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.487$ $0$ $0.332092$ Modular form 75.13.d.b.74.4
2-75-15.14-c12-0-17 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.436$ $0$ $0.333740$ Modular form 75.13.d.d.74.19
2-75-15.14-c12-0-18 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.0976$ $0$ $0.414570$ Modular form 75.13.d.c.74.25
2-75-15.14-c12-0-19 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.264$ $0$ $0.423522$ Modular form 75.13.d.c.74.19
2-75-15.14-c12-0-2 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.247$ $0$ $0.111346$ Modular form 75.13.d.d.74.21
2-75-15.14-c12-0-20 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.317$ $0$ $0.430075$ Modular form 75.13.d.c.74.18
2-75-15.14-c12-0-21 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.327$ $0$ $0.447974$ Modular form 75.13.d.c.74.24
2-75-15.14-c12-0-22 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.0737$ $0$ $0.452414$ Modular form 75.13.d.a.74.1
2-75-15.14-c12-0-23 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.0763$ $0$ $0.470668$ Modular form 75.13.d.c.74.5
2-75-15.14-c12-0-24 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.224$ $0$ $0.495649$ Modular form 75.13.d.d.74.31
2-75-15.14-c12-0-25 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.464$ $0$ $0.503493$ Modular form 75.13.d.c.74.16
2-75-15.14-c12-0-26 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.179$ $0$ $0.506718$ Modular form 75.13.d.c.74.9
2-75-15.14-c12-0-27 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.117$ $0$ $0.548137$ Modular form 75.13.d.c.74.13
2-75-15.14-c12-0-28 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.0763$ $0$ $0.548912$ Modular form 75.13.d.c.74.6
2-75-15.14-c12-0-29 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.0840$ $0$ $0.571318$ Modular form 75.13.d.d.74.14
2-75-15.14-c12-0-3 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.423$ $0$ $0.112581$ Modular form 75.13.d.d.74.16
2-75-15.14-c12-0-30 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.245$ $0$ $0.608266$ Modular form 75.13.d.c.74.8
2-75-15.14-c12-0-31 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.0737$ $0$ $0.679865$ Modular form 75.13.d.a.74.2
2-75-15.14-c12-0-32 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.0471$ $0$ $0.681710$ Modular form 75.13.d.d.74.23
2-75-15.14-c12-0-33 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.237$ $0$ $0.702691$ Modular form 75.13.d.c.74.30
2-75-15.14-c12-0-34 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.113$ $0$ $0.708922$ Modular form 75.13.d.d.74.6
2-75-15.14-c12-0-35 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.364$ $0$ $0.753387$ Modular form 75.13.d.b.74.1
2-75-15.14-c12-0-36 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.0402$ $0$ $0.801770$ Modular form 75.13.d.c.74.1
2-75-15.14-c12-0-37 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.179$ $0$ $0.825422$ Modular form 75.13.d.c.74.10
2-75-15.14-c12-0-38 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.128$ $0$ $0.837288$ Modular form 75.13.d.d.74.2
2-75-15.14-c12-0-39 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.0712$ $0$ $0.843454$ Modular form 75.13.d.c.74.27
2-75-15.14-c12-0-4 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.467$ $0$ $0.141897$ Modular form 75.13.d.c.74.11
2-75-15.14-c12-0-40 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.319$ $0$ $0.849697$ Modular form 75.13.d.c.74.21
2-75-15.14-c12-0-41 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.0976$ $0$ $0.873128$ Modular form 75.13.d.c.74.26
2-75-15.14-c12-0-42 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.317$ $0$ $0.875500$ Modular form 75.13.d.c.74.17
2-75-15.14-c12-0-43 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.105$ $0$ $0.876322$ Modular form 75.13.d.d.74.11
2-75-15.14-c12-0-44 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.0712$ $0$ $0.892841$ Modular form 75.13.d.c.74.28
2-75-15.14-c12-0-45 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.0840$ $0$ $0.927511$ Modular form 75.13.d.d.74.13
2-75-15.14-c12-0-46 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.113$ $0$ $0.965886$ Modular form 75.13.d.d.74.5
2-75-15.14-c12-0-47 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.305$ $0$ $0.985510$ Modular form 75.13.d.d.74.10
2-75-15.14-c12-0-48 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.245$ $0$ $1.05732$ Modular form 75.13.d.c.74.7
2-75-15.14-c12-0-49 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.0471$ $0$ $1.10601$ Modular form 75.13.d.d.74.24
2-75-15.14-c12-0-5 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.385$ $0$ $0.151606$ Modular form 75.13.d.c.74.4
2-75-15.14-c12-0-50 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.223$ $0$ $1.12188$ Modular form 75.13.d.d.74.17
2-75-15.14-c12-0-51 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $-0.0922$ $0$ $1.13695$ Modular form 75.13.d.d.74.30
2-75-15.14-c12-0-52 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.423$ $0$ $1.16081$ Modular form 75.13.d.d.74.15
2-75-15.14-c12-0-53 $8.27$ $68.5$ $2$ $3 \cdot 5^{2}$ 15.14 $12.0$ $12$ ✓ ✓ $0.264$ $0$ $1.20104$ Modular form 75.13.d.c.74.20
Next   displayed columns for results