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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 (1-50 of at least 1000)

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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
2-75-1.1-c11-0-0 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.0360615$ Modular form 75.12.a.g.1.2
2-75-1.1-c11-0-1 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.106629$ Modular form 75.12.a.h.1.1
2-75-1.1-c11-0-10 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.733265$ Modular form 75.12.a.d.1.1
2-75-1.1-c11-0-11 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.757108$ Modular form 75.12.a.k.1.1
2-75-1.1-c11-0-12 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.824665$ Modular form 75.12.a.k.1.3
2-75-1.1-c11-0-13 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.925628$ Modular form 75.12.a.i.1.3
2-75-1.1-c11-0-14 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $0.944175$ Modular form 75.12.a.j.1.2
2-75-1.1-c11-0-15 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.11540$ Modular form 75.12.a.e.1.1
2-75-1.1-c11-0-16 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.12146$ Modular form 75.12.a.j.1.3
2-75-1.1-c11-0-17 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $1.15032$ Modular form 75.12.a.i.1.1
2-75-1.1-c11-0-18 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $1.18392$ Modular form 75.12.a.g.1.3
2-75-1.1-c11-0-19 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.21880$ Modular form 75.12.a.e.1.2
2-75-1.1-c11-0-2 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.434209$ Modular form 75.12.a.i.1.2
2-75-1.1-c11-0-20 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.22410$ Modular form 75.12.a.j.1.1
2-75-1.1-c11-0-21 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.25402$ Modular form 75.12.a.j.1.4
2-75-1.1-c11-0-22 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.29602$ Modular form 75.12.a.f.1.1
2-75-1.1-c11-0-23 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $1.29894$ Modular form 75.12.a.k.1.5
2-75-1.1-c11-0-24 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.33508$ Modular form 75.12.a.c.1.1
2-75-1.1-c11-0-25 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $1.34570$ Modular form 75.12.a.k.1.6
2-75-1.1-c11-0-26 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.45251$ Modular form 75.12.a.a Modular form 75.12.a.a.1.1
2-75-1.1-c11-0-27 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.48188$ Modular form 75.12.a.f.1.2
2-75-1.1-c11-0-28 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.67716$ Modular form 75.12.a.j.1.5
2-75-1.1-c11-0-29 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $1.70146$ Modular form 75.12.a.i.1.4
2-75-1.1-c11-0-3 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.599071$ Modular form 75.12.a.h.1.2
2-75-1.1-c11-0-30 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.81579$ Modular form 75.12.a.c.1.2
2-75-1.1-c11-0-31 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.86863$ Modular form 75.12.a.e.1.3
2-75-1.1-c11-0-32 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.07780$ Modular form 75.12.a.b Modular form 75.12.a.b.1.1
2-75-1.1-c11-0-33 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $2.22726$ Modular form 75.12.a.j.1.6
2-75-1.1-c11-0-34 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $2.38397$ Modular form 75.12.a.f.1.3
2-75-1.1-c11-0-4 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.630943$ Modular form 75.12.a.k.1.2
2-75-1.1-c11-0-5 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.634684$ Modular form 75.12.a.h.1.4
2-75-1.1-c11-0-6 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.655045$ Modular form 75.12.a.d.1.2
2-75-1.1-c11-0-7 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.673968$ Modular form 75.12.a.h.1.3
2-75-1.1-c11-0-8 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.728342$ Modular form 75.12.a.k.1.4
2-75-1.1-c11-0-9 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.731185$ Modular form 75.12.a.g.1.1
2-75-15.2-c11-0-0 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 15.2 $11.0$ $11$ ✓ ✓ $-0.238$ $0$ $0.0161458$ Modular form 75.12.e.c.32.8
2-75-15.2-c11-0-1 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 15.2 $11.0$ $11$ ✓ ✓ $0.392$ $0$ $0.0620680$ Modular form 75.12.e.c.32.9
2-75-15.2-c11-0-10 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 15.2 $11.0$ $11$ ✓ ✓ $-0.286$ $0$ $0.249721$ Modular form 75.12.e.b.32.1
2-75-15.2-c11-0-11 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 15.2 $11.0$ $11$ ✓ ✓ $-0.466$ $0$ $0.254313$ Modular form 75.12.e.c.32.3
2-75-15.2-c11-0-12 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 15.2 $11.0$ $11$ ✓ ✓ $-0.473$ $0$ $0.255248$ Modular form 75.12.e.d.32.14
2-75-15.2-c11-0-13 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 15.2 $11.0$ $11$ ✓ ✓ $0.378$ $0$ $0.255854$ Modular form 75.12.e.d.32.6
2-75-15.2-c11-0-14 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 15.2 $11.0$ $11$ ✓ ✓ $-0.330$ $0$ $0.293820$ Modular form 75.12.e.d.32.8
2-75-15.2-c11-0-15 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 15.2 $11.0$ $11$ ✓ ✓ $0.358$ $0$ $0.348849$ Modular form 75.12.e.c.32.1
2-75-15.2-c11-0-16 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 15.2 $11.0$ $11$ ✓ ✓ $-0.186$ $0$ $0.382538$ Modular form 75.12.e.e.32.23
2-75-15.2-c11-0-17 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 15.2 $11.0$ $11$ ✓ ✓ $-0.242$ $0$ $0.392998$ Modular form 75.12.e.d.32.13
2-75-15.2-c11-0-18 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 15.2 $11.0$ $11$ ✓ ✓ $-0.404$ $0$ $0.442999$ Modular form 75.12.e.e.32.6
2-75-15.2-c11-0-19 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 15.2 $11.0$ $11$ ✓ ✓ $-0.241$ $0$ $0.470114$ Modular form 75.12.e.d.32.16
2-75-15.2-c11-0-2 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 15.2 $11.0$ $11$ ✓ ✓ $0.106$ $0$ $0.0915292$ Modular form 75.12.e.e.32.7
2-75-15.2-c11-0-20 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 15.2 $11.0$ $11$ ✓ ✓ $-0.100$ $0$ $0.476477$ Modular form 75.12.e.d.32.7
2-75-15.2-c11-0-21 $7.59$ $57.6$ $2$ $3 \cdot 5^{2}$ 15.2 $11.0$ $11$ ✓ ✓ $-0.126$ $0$ $0.539843$ Modular form 75.12.e.e.32.20
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