| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
$\epsilon$ |
$r$ |
First zero |
Origin |
| 4-315e2-1.1-c0e2-0-0 |
$0.396$ |
$0.0247$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$1.30636$ |
Artin representation 2.315.12t18.a Modular form 315.1.bg.a |
| 4-315e2-1.1-c0e2-0-1 |
$0.396$ |
$0.0247$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$1.70821$ |
Artin representation 2.315.6t5.a Modular form 315.1.bg.b |
| 4-315e2-1.1-c1e2-0-0 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$0.254148$ |
Modular form 315.2.bl.f |
| 4-315e2-1.1-c1e2-0-1 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$0.468404$ |
Modular form 315.2.j.a |
| 4-315e2-1.1-c1e2-0-10 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.17993$ |
Modular form 315.2.a.d |
| 4-315e2-1.1-c1e2-0-11 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$1.20596$ |
Bianchi modular form 2.0.3.1-11025.1-c Bianchi modular form 2.0.3.1-11025.3-c Elliptic curve 2.0.3.1-11025.1-c Elliptic curve 2.0.3.1-11025.3-c Elliptic curve 2.2.21.1-225.1-a Elliptic curve 2.2.21.1-225.1-b Hilbert modular form 2.2.21.1-225.1-a Hilbert modular form 2.2.21.1-225.1-b |
| 4-315e2-1.1-c1e2-0-12 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.21932$ |
Modular form 315.2.bl.d |
| 4-315e2-1.1-c1e2-0-13 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.25001$ |
Modular form 315.2.a.f |
| 4-315e2-1.1-c1e2-0-14 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.26808$ |
Modular form 315.2.j.b |
| 4-315e2-1.1-c1e2-0-15 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$1.29158$ |
Elliptic curve 2.2.21.1-225.2-a Elliptic curve 2.2.21.1-225.3-a Hilbert modular form 2.2.21.1-225.2-a Hilbert modular form 2.2.21.1-225.3-a |
| 4-315e2-1.1-c1e2-0-16 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.31026$ |
Elliptic curve 2.2.5.1-3969.1-g Hilbert modular form 2.2.5.1-3969.1-g Modular form 315.2.d.a |
| 4-315e2-1.1-c1e2-0-17 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$1.31869$ |
Elliptic curve 2.2.21.1-225.2-b Elliptic curve 2.2.21.1-225.3-b Hilbert modular form 2.2.21.1-225.2-b Hilbert modular form 2.2.21.1-225.3-b |
| 4-315e2-1.1-c1e2-0-18 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
✓ |
$-1$ |
$1$ |
$1.40007$ |
Elliptic curve 2.2.21.1-225.2-d Elliptic curve 2.2.21.1-225.3-d Elliptic curve 2.2.105.1-9.1-a Elliptic curve 2.2.105.1-9.1-b Hilbert modular form 2.2.21.1-225.2-d Hilbert modular form 2.2.21.1-225.3-d Hilbert modular form 2.2.105.1-9.1-a Hilbert modular form 2.2.105.1-9.1-b |
| 4-315e2-1.1-c1e2-0-19 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
✓ |
$-1$ |
$1$ |
$1.40190$ |
Bianchi modular form 2.0.3.1-11025.2-a Bianchi modular form 2.0.3.1-11025.2-b Elliptic curve 2.0.3.1-11025.2-a Elliptic curve 2.0.3.1-11025.2-b |
| 4-315e2-1.1-c1e2-0-2 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$0.692579$ |
Elliptic curve 2.2.21.1-225.1-c Elliptic curve 2.2.21.1-225.1-d Hilbert modular form 2.2.21.1-225.1-c Hilbert modular form 2.2.21.1-225.1-d |
| 4-315e2-1.1-c1e2-0-20 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.41554$ |
Modular form 315.2.bl.h |
| 4-315e2-1.1-c1e2-0-21 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$-1$ |
$1$ |
$1.46036$ |
Elliptic curve 2.2.5.1-3969.1-d Hilbert modular form 2.2.5.1-3969.1-d |
| 4-315e2-1.1-c1e2-0-22 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.48127$ |
Elliptic curve 2.2.5.1-3969.1-c Hilbert modular form 2.2.5.1-3969.1-c Modular form 315.2.d.c |
| 4-315e2-1.1-c1e2-0-23 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$2$ |
$1.58966$ |
Modular form 315.2.bl.a |
| 4-315e2-1.1-c1e2-0-24 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.59045$ |
Elliptic curve 2.2.5.1-3969.1-e Hilbert modular form 2.2.5.1-3969.1-e Modular form 315.2.d.d |
| 4-315e2-1.1-c1e2-0-25 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.62870$ |
Modular form 315.2.i.b |
| 4-315e2-1.1-c1e2-0-26 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
✓ |
$-1$ |
$1$ |
$1.69985$ |
Elliptic curve 2.2.5.1-3969.1-b Elliptic curve 2.2.5.1-3969.1-f Hilbert modular form 2.2.5.1-3969.1-b Hilbert modular form 2.2.5.1-3969.1-f |
| 4-315e2-1.1-c1e2-0-27 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
✓ |
$-1$ |
$1$ |
$1.73626$ |
Bianchi modular form 2.0.3.1-11025.1-b Bianchi modular form 2.0.3.1-11025.3-b Elliptic curve 2.0.3.1-11025.1-b Elliptic curve 2.0.3.1-11025.3-b |
| 4-315e2-1.1-c1e2-0-28 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$2$ |
$1.77021$ |
Modular form 315.2.i.a |
| 4-315e2-1.1-c1e2-0-29 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$2$ |
$1.78197$ |
Modular form 315.2.bl.e |
| 4-315e2-1.1-c1e2-0-3 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$0.716329$ |
Elliptic curve 2.2.21.1-225.2-c Elliptic curve 2.2.21.1-225.3-c Hilbert modular form 2.2.21.1-225.2-c Hilbert modular form 2.2.21.1-225.3-c |
| 4-315e2-1.1-c1e2-0-30 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$2$ |
$1.83151$ |
Modular form 315.2.bl.b |
| 4-315e2-1.1-c1e2-0-31 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
✓ |
$-1$ |
$1$ |
$1.84824$ |
Bianchi modular form 2.0.3.1-11025.2-c Bianchi modular form 2.0.3.1-11025.2-d Elliptic curve 2.0.3.1-11025.2-c Elliptic curve 2.0.3.1-11025.2-d |
| 4-315e2-1.1-c1e2-0-32 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$2$ |
$1.87292$ |
Modular form 315.2.bl.c |
| 4-315e2-1.1-c1e2-0-33 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$2$ |
$1.93653$ |
Modular form 315.2.be.a |
| 4-315e2-1.1-c1e2-0-34 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$2$ |
$1.94094$ |
Modular form 315.2.a.c |
| 4-315e2-1.1-c1e2-0-4 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$0.883825$ |
Modular form 315.2.bl.g |
| 4-315e2-1.1-c1e2-0-5 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$0.945637$ |
Elliptic curve 2.2.5.1-3969.1-a Hilbert modular form 2.2.5.1-3969.1-a Modular form 315.2.d.b |
| 4-315e2-1.1-c1e2-0-6 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$0.964820$ |
Bianchi modular form 2.0.7.1-2025.1-a Elliptic curve 2.0.7.1-2025.1-a |
| 4-315e2-1.1-c1e2-0-7 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.00722$ |
Modular form 315.2.a.e |
| 4-315e2-1.1-c1e2-0-8 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
✓ |
$1$ |
$0$ |
$1.01429$ |
Bianchi modular form 2.0.3.1-11025.1-a Bianchi modular form 2.0.3.1-11025.3-a Elliptic curve 2.0.3.1-11025.1-a Elliptic curve 2.0.3.1-11025.3-a |
| 4-315e2-1.1-c1e2-0-9 |
$1.58$ |
$6.32$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.06491$ |
Modular form 315.2.t.a |
| 4-315e2-1.1-c2e2-0-0 |
$2.92$ |
$73.6$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$2.0, 2.0$ |
$2$ |
|
$1$ |
$0$ |
$0.0720980$ |
Modular form 315.3.h.a |
| 4-315e2-1.1-c2e2-0-1 |
$2.92$ |
$73.6$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$2.0, 2.0$ |
$2$ |
|
$1$ |
$0$ |
$0.648270$ |
Modular form 315.3.h.b |
| 4-315e2-1.1-c3e2-0-0 |
$4.31$ |
$345.$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$0.389766$ |
Modular form 315.4.j.a |
| 4-315e2-1.1-c3e2-0-1 |
$4.31$ |
$345.$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$0.593763$ |
Modular form 315.4.a.h |
| 4-315e2-1.1-c3e2-0-2 |
$4.31$ |
$345.$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$0.758159$ |
Modular form 315.4.a.f |
| 4-315e2-1.1-c3e2-0-3 |
$4.31$ |
$345.$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$0.841711$ |
Modular form 315.4.a.l |
| 4-315e2-1.1-c3e2-0-4 |
$4.31$ |
$345.$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$0.847173$ |
Modular form 315.4.j.b |
| 4-315e2-1.1-c3e2-0-5 |
$4.31$ |
$345.$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$0.978369$ |
Modular form 315.4.a.m |
| 4-315e2-1.1-c3e2-0-6 |
$4.31$ |
$345.$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$3.0, 3.0$ |
$3$ |
|
$1$ |
$2$ |
$1.38628$ |
Modular form 315.4.a.i |
| 4-315e2-1.1-c3e2-0-7 |
$4.31$ |
$345.$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$3.0, 3.0$ |
$3$ |
|
$1$ |
$2$ |
$1.48522$ |
Modular form 315.4.a.k |
| 4-315e2-1.1-c3e2-0-8 |
$4.31$ |
$345.$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$3.0, 3.0$ |
$3$ |
|
$1$ |
$2$ |
$1.56122$ |
Modular form 315.4.a.g |
| 4-315e2-1.1-c3e2-0-9 |
$4.31$ |
$345.$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$3.0, 3.0$ |
$3$ |
|
$1$ |
$2$ |
$1.60539$ |
Modular form 315.4.a.j |
| 4-315e2-1.1-c4e2-0-0 |
$5.70$ |
$1.06\times 10^{3}$ |
$4$ |
$3^{4} \cdot 5^{2} \cdot 7^{2}$ |
1.1 |
|
$4.0, 4.0$ |
$4$ |
|
$1$ |
$0$ |
$0.0427147$ |
Modular form 315.5.e.d |
