↑

Learn more

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 (46 matches)

  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
2-1664-104.21-c0-0-0 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.21 $0.0$ 0 ✓ ✓ $-0.203$ $0$ $0.795084$ Artin representation 2.1664.8t17.b.b Modular form 1664.1.j.a.1217.1
2-1664-104.21-c0-0-1 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.21 $0.0$ 0 ✓ ✓ $-0.203$ $0$ $1.04894$ Modular form 1664.1.j.d.1217.2
2-1664-104.21-c0-0-2 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.21 $0.0$ 0 ✓ ✓ $-0.203$ $0$ $1.14921$ Modular form 1664.1.j.d.1217.1
2-1664-104.21-c0-0-3 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.21 $0.0$ 0 ✓ ✓ $0.0467$ $0$ $1.47650$ Artin representation 2.1664.8t17.a.b Modular form 1664.1.j.b.1217.1
2-1664-104.21-c0-0-4 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.21 $0.0$ 0 ✓ ✓ $0.296$ $0$ $1.58274$ Modular form 1664.1.j.c.1217.1
2-1664-104.21-c0-0-5 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.21 $0.0$ 0 ✓ ✓ $0.296$ $0$ $2.14855$ Modular form 1664.1.j.c.1217.2
2-1664-104.3-c0-0-0 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.3 $0.0$ 0 ✓ ✓ $-0.209$ $0$ $0.947507$ Modular form 1664.1.v.b.575.1
2-1664-104.3-c0-0-1 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.3 $0.0$ 0 ✓ ✓ $-0.334$ $0$ $0.971566$ Modular form 1664.1.v.c.575.4
2-1664-104.3-c0-0-2 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.3 $0.0$ 0 ✓ ✓ $0.165$ $0$ $1.22278$ Modular form 1664.1.v.c.575.2
2-1664-104.3-c0-0-3 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.3 $0.0$ 0 ✓ ✓ $-0.0843$ $0$ $1.43414$ Modular form 1664.1.v.c.575.3
2-1664-104.3-c0-0-4 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.3 $0.0$ 0 ✓ ✓ $0.415$ $0$ $1.89896$ Modular form 1664.1.v.c.575.1
2-1664-104.3-c0-0-5 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.3 $0.0$ 0 ✓ ✓ $0.290$ $0$ $2.08573$ Modular form 1664.1.v.a.575.1
2-1664-104.35-c0-0-0 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.35 $0.0$ 0 ✓ ✓ $-0.415$ $0$ $0.744493$ Modular form 1664.1.v.c.191.2
2-1664-104.35-c0-0-1 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.35 $0.0$ 0 ✓ ✓ $-0.290$ $0$ $0.802366$ Modular form 1664.1.v.a.191.1
2-1664-104.35-c0-0-2 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.35 $0.0$ 0 ✓ ✓ $-0.165$ $0$ $0.902424$ Modular form 1664.1.v.c.191.1
2-1664-104.35-c0-0-3 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.35 $0.0$ 0 ✓ ✓ $0.0843$ $0$ $1.40221$ Modular form 1664.1.v.c.191.4
2-1664-104.35-c0-0-4 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.35 $0.0$ 0 ✓ ✓ $0.209$ $0$ $1.73489$ Modular form 1664.1.v.b.191.1
2-1664-104.35-c0-0-5 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.35 $0.0$ 0 ✓ ✓ $0.334$ $0$ $2.22871$ Modular form 1664.1.v.c.191.3
2-1664-104.37-c0-0-0 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.37 $0.0$ 0 ✓ ✓ $-0.256$ $0$ $0.633773$ Modular form 1664.1.bv.b.193.1
2-1664-104.37-c0-0-1 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.37 $0.0$ 0 ✓ ✓ $-0.00614$ $0$ $1.23165$ Modular form 1664.1.bv.a.193.1
2-1664-104.43-c0-0-0 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.43 $0.0$ 0 ✓ ✓ $-0.0853$ $0$ $0.942010$ Modular form 1664.1.x.a.1343.1
2-1664-104.43-c0-0-1 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.43 $0.0$ 0 ✓ ✓ $-0.0853$ $0$ $1.17912$ Modular form 1664.1.x.b.1343.1
2-1664-104.45-c0-0-0 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.45 $0.0$ 0 ✓ ✓ $0.00614$ $0$ $1.31649$ Modular form 1664.1.bv.a.1345.1
2-1664-104.45-c0-0-1 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.45 $0.0$ 0 ✓ ✓ $0.256$ $0$ $1.75555$ Modular form 1664.1.bv.b.1345.1
2-1664-104.5-c0-0-0 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.5 $0.0$ 0 ✓ ✓ $-0.296$ $0$ $0.593898$ Modular form 1664.1.j.c.577.1
2-1664-104.5-c0-0-1 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.5 $0.0$ 0 ✓ ✓ $-0.296$ $0$ $1.06619$ Modular form 1664.1.j.c.577.2
2-1664-104.5-c0-0-2 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.5 $0.0$ 0 ✓ ✓ $-0.0467$ $0$ $1.49032$ Artin representation 2.1664.8t17.a.a Modular form 1664.1.j.b.577.1
2-1664-104.5-c0-0-3 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.5 $0.0$ 0 ✓ ✓ $0.203$ $0$ $1.51434$ Modular form 1664.1.j.d.577.1
2-1664-104.5-c0-0-4 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.5 $0.0$ 0 ✓ ✓ $0.203$ $0$ $1.55089$ Artin representation 2.1664.8t17.b.a Modular form 1664.1.j.a.577.1
2-1664-104.5-c0-0-5 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.5 $0.0$ 0 ✓ ✓ $0.203$ $0$ $1.68121$ Modular form 1664.1.j.d.577.2
2-1664-104.51-c0-0-0 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.51 $0.0$ 0 ✓ ✓ $-0.375$ $0$ $0.282531$ Modular form 1664.1.h.e.831.2
2-1664-104.51-c0-0-1 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.51 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $0.516363$ Modular form 1664.1.h.c.831.1
2-1664-104.51-c0-0-2 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.51 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $0.917290$ Artin representation 2.1664.4t3.e Artin representation 2.1664.4t3.e.a Modular form 1664.1.h.a Modular form 1664.1.h.a.831.1
2-1664-104.51-c0-0-3 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.51 $0.0$ 0 ✓ ✓ $-0.125$ $0$ $0.993342$ Modular form 1664.1.h.e.831.4
2-1664-104.51-c0-0-4 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.51 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.25639$ Modular form 1664.1.h.d.831.1
2-1664-104.51-c0-0-5 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.51 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.48509$ Artin representation 2.1664.4t3.f Artin representation 2.1664.4t3.f.a Modular form 1664.1.h.b Modular form 1664.1.h.b.831.1
2-1664-104.51-c0-0-6 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.51 $0.0$ 0 ✓ ✓ $0.125$ $0$ $1.69582$ Modular form 1664.1.h.e.831.3
2-1664-104.51-c0-0-7 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.51 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.71247$ Modular form 1664.1.h.c.831.2
2-1664-104.51-c0-0-8 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.51 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.74418$ Modular form 1664.1.h.d.831.2
2-1664-104.51-c0-0-9 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.51 $0.0$ 0 ✓ ✓ $0.375$ $0$ $1.90133$ Modular form 1664.1.h.e.831.1
2-1664-104.75-c0-0-0 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.75 $0.0$ 0 ✓ ✓ $0.0853$ $0$ $1.29783$ Modular form 1664.1.x.a.959.1
2-1664-104.75-c0-0-1 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.75 $0.0$ 0 ✓ ✓ $0.0853$ $0$ $1.72031$ Modular form 1664.1.x.b.959.1
2-1664-104.85-c0-0-0 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.85 $0.0$ 0 ✓ ✓ $0.412$ $0$ $1.74752$ Modular form 1664.1.bv.a.449.1
2-1664-104.85-c0-0-1 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.85 $0.0$ 0 ✓ ✓ $0.162$ $0$ $1.87171$ Modular form 1664.1.bv.b.449.1
2-1664-104.93-c0-0-0 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.93 $0.0$ 0 ✓ ✓ $-0.412$ $0$ $0.0290891$ Modular form 1664.1.bv.a.1601.1
2-1664-104.93-c0-0-1 $0.911$ $0.830$ $2$ $2^{7} \cdot 13$ 104.93 $0.0$ 0 ✓ ✓ $-0.162$ $0$ $1.16943$ Modular form 1664.1.bv.b.1601.1
  displayed columns for results