Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
$\epsilon$ |
$r$ |
First zero |
Origin |
4-117e2-1.1-c0e2-0-0 |
$0.241$ |
$0.00340$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$0.0, 0.0$ |
$0$ |
|
$1$ |
$0$ |
$2.45453$ |
Artin representation 2.117.8t17.b Modular form 117.1.j.a |
4-117e2-1.1-c1e2-0-0 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$1.09621$ |
Elliptic curve 2.2.13.1-81.4-d Elliptic curve 2.2.13.1-81.5-d Hilbert modular form 2.2.13.1-81.4-d Hilbert modular form 2.2.13.1-81.5-d |
4-117e2-1.1-c1e2-0-1 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$1.15142$ |
Elliptic curve 2.2.13.1-81.2-b Elliptic curve 2.2.13.1-81.3-b Hilbert modular form 2.2.13.1-81.2-b Hilbert modular form 2.2.13.1-81.3-b |
4-117e2-1.1-c1e2-0-10 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$1.93366$ |
Elliptic curve 2.2.13.1-81.4-a Elliptic curve 2.2.13.1-81.5-a Hilbert modular form 2.2.13.1-81.4-a Hilbert modular form 2.2.13.1-81.5-a |
4-117e2-1.1-c1e2-0-11 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$1.97790$ |
Elliptic curve 2.2.13.1-81.2-a Elliptic curve 2.2.13.1-81.3-a Hilbert modular form 2.2.13.1-81.2-a Hilbert modular form 2.2.13.1-81.3-a |
4-117e2-1.1-c1e2-0-12 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
✓ |
$-1$ |
$1$ |
$1.98846$ |
Genus 2 curve 13689.c |
4-117e2-1.1-c1e2-0-13 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$2.05794$ |
Genus 2 curve 13689.b Modular form 117.2.l.a |
4-117e2-1.1-c1e2-0-14 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
|
$1$ |
$2$ |
$2.15276$ |
Genus 2 curve 13689.a Modular form 117.2.r.a |
4-117e2-1.1-c1e2-0-15 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
✓ |
$-1$ |
$1$ |
$2.21350$ |
Elliptic curve 2.2.13.1-81.4-c Elliptic curve 2.2.13.1-81.5-c Hilbert modular form 2.2.13.1-81.4-c Hilbert modular form 2.2.13.1-81.5-c |
4-117e2-1.1-c1e2-0-16 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$2.28342$ |
Modular form 117.2.g.b |
4-117e2-1.1-c1e2-0-17 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$2.30048$ |
Modular form 117.2.q.c |
4-117e2-1.1-c1e2-0-18 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
|
$1$ |
$2$ |
$2.50964$ |
Modular form 117.2.e.a |
4-117e2-1.1-c1e2-0-19 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
|
$1$ |
$2$ |
$3.47613$ |
Modular form 117.2.t.a |
4-117e2-1.1-c1e2-0-2 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.24814$ |
Modular form 117.2.q.a |
4-117e2-1.1-c1e2-0-3 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.51141$ |
Bianchi modular form 2.0.3.1-1521.2-a Elliptic curve 2.0.3.1-1521.2-a Modular form 117.2.a.b |
4-117e2-1.1-c1e2-0-4 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.54224$ |
Modular form 117.2.t.b |
4-117e2-1.1-c1e2-0-5 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.56257$ |
Elliptic curve 2.0.3.1-1521.1-CMb Elliptic curve 2.0.3.1-1521.3-CMb Modular form 117.2.q.b |
4-117e2-1.1-c1e2-0-6 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.57686$ |
Elliptic curve 2.2.13.1-81.1-a Hilbert modular form 2.2.13.1-81.1-a Modular form 117.2.b.a |
4-117e2-1.1-c1e2-0-7 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.80387$ |
Elliptic curve 2.0.3.1-1521.1-CMa Elliptic curve 2.0.3.1-1521.3-CMa Modular form 117.2.g.a |
4-117e2-1.1-c1e2-0-8 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.87345$ |
Modular form 117.2.a.c |
4-117e2-1.1-c1e2-0-9 |
$0.966$ |
$0.872$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$1.0, 1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$1.89344$ |
Elliptic curve 2.2.13.1-81.4-b Elliptic curve 2.2.13.1-81.5-b Hilbert modular form 2.2.13.1-81.4-b Hilbert modular form 2.2.13.1-81.5-b |
4-117e2-1.1-c3e2-0-0 |
$2.62$ |
$47.6$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$0.395155$ |
Modular form 117.4.g.c |
4-117e2-1.1-c3e2-0-1 |
$2.62$ |
$47.6$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$0.420984$ |
Modular form 117.4.q.a |
4-117e2-1.1-c3e2-0-10 |
$2.62$ |
$47.6$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$3.0, 3.0$ |
$3$ |
|
$1$ |
$2$ |
$1.82422$ |
Modular form 117.4.a.c |
4-117e2-1.1-c3e2-0-11 |
$2.62$ |
$47.6$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$3.0, 3.0$ |
$3$ |
|
$1$ |
$2$ |
$2.05116$ |
Modular form 117.4.a.d |
4-117e2-1.1-c3e2-0-12 |
$2.62$ |
$47.6$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$3.0, 3.0$ |
$3$ |
|
$1$ |
$2$ |
$2.08744$ |
Modular form 117.4.a.e |
4-117e2-1.1-c3e2-0-2 |
$2.62$ |
$47.6$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$0.425000$ |
Modular form 117.4.q.b |
4-117e2-1.1-c3e2-0-3 |
$2.62$ |
$47.6$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$0.490151$ |
Modular form 117.4.h.a |
4-117e2-1.1-c3e2-0-4 |
$2.62$ |
$47.6$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$0.514895$ |
Modular form 117.4.g.a |
4-117e2-1.1-c3e2-0-5 |
$2.62$ |
$47.6$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$0.942480$ |
Modular form 117.4.b.a |
4-117e2-1.1-c3e2-0-6 |
$2.62$ |
$47.6$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$1.08994$ |
Modular form 117.4.f.a |
4-117e2-1.1-c3e2-0-7 |
$2.62$ |
$47.6$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$1.20959$ |
Modular form 117.4.b.b |
4-117e2-1.1-c3e2-0-8 |
$2.62$ |
$47.6$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$1.35351$ |
Modular form 117.4.q.c |
4-117e2-1.1-c3e2-0-9 |
$2.62$ |
$47.6$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$1.56714$ |
Modular form 117.4.g.b |
4-117e2-1.1-c5e2-0-0 |
$4.33$ |
$352.$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$5.0, 5.0$ |
$5$ |
|
$1$ |
$0$ |
$0.581383$ |
Modular form 117.6.q.a |
4-117e2-1.1-c5e2-0-1 |
$4.33$ |
$352.$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$5.0, 5.0$ |
$5$ |
|
$1$ |
$0$ |
$0.619209$ |
Modular form 117.6.a.c |
4-117e2-1.1-c5e2-0-2 |
$4.33$ |
$352.$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$5.0, 5.0$ |
$5$ |
|
$1$ |
$0$ |
$0.691079$ |
Modular form 117.6.g.a |
4-117e2-1.1-c5e2-0-3 |
$4.33$ |
$352.$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$5.0, 5.0$ |
$5$ |
|
$1$ |
$0$ |
$0.885320$ |
Modular form 117.6.a.b |
4-117e2-1.1-c7e2-0-0 |
$6.04$ |
$1.33\times 10^{3}$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$7.0, 7.0$ |
$7$ |
|
$1$ |
$0$ |
$0.308902$ |
Modular form 117.8.g.a |
4-117e2-1.1-c7e2-0-1 |
$6.04$ |
$1.33\times 10^{3}$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$7.0, 7.0$ |
$7$ |
|
$1$ |
$0$ |
$0.366715$ |
Modular form 117.8.q.a |
4-117e2-1.1-c7e2-0-2 |
$6.04$ |
$1.33\times 10^{3}$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$7.0, 7.0$ |
$7$ |
|
$1$ |
$0$ |
$0.565254$ |
Modular form 117.8.a.c |
4-117e2-1.1-c7e2-0-3 |
$6.04$ |
$1.33\times 10^{3}$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$7.0, 7.0$ |
$7$ |
|
$1$ |
$2$ |
$1.35934$ |
Modular form 117.8.a.b |
4-117e2-1.1-c9e2-0-0 |
$7.76$ |
$3.63\times 10^{3}$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$9.0, 9.0$ |
$9$ |
|
$1$ |
$0$ |
$0.645183$ |
Modular form 117.10.b.a |
4-117e2-1.1-c15e2-0-0 |
$12.9$ |
$2.78\times 10^{4}$ |
$4$ |
$3^{4} \cdot 13^{2}$ |
1.1 |
$$ |
$15.0, 15.0$ |
$15$ |
|
$1$ |
$0$ |
$0.327946$ |
Modular form 117.16.b.a |