| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 14.a1 |
14a5 |
14.a |
14a |
$6$ |
$18$ |
\( 2 \cdot 7 \) |
\( 2^{9} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.6, 9.24.0.3 |
2B, 3B.1.2 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$0.413101$ |
$2251439055699625/25088$ |
$1.06489$ |
$13.39507$ |
$[1, 0, 1, -2731, -55146]$ |
\(y^2+xy+y=x^3-2731x-55146\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.b.1, 9.24.0-9.a.1.1, $\ldots$ |
$[]$ |
| 14.a2 |
14a3 |
14.a |
14a |
$6$ |
$18$ |
\( 2 \cdot 7 \) |
\( - 2^{18} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.1, 9.24.0.3 |
2B, 3B.1.2 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$3$ |
$0.066527$ |
$-548347731625/1835008$ |
$1.02933$ |
$10.24454$ |
$[1, 0, 1, -171, -874]$ |
\(y^2+xy+y=x^3-171x-874\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.c.1, 9.24.0-9.a.1.1, $\ldots$ |
$[]$ |
| 14.a3 |
14a2 |
14.a |
14a |
$6$ |
$18$ |
\( 2 \cdot 7 \) |
\( 2^{3} \cdot 7^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.6, 3.24.0.1 |
2B, 3Cs.1.1 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$4$ |
$2$ |
$-0.136205$ |
$4956477625/941192$ |
$1.00821$ |
$8.45907$ |
$[1, 0, 1, -36, -70]$ |
\(y^2+xy+y=x^3-36x-70\) |
2.3.0.a.1, 3.24.0-3.a.1.1, 6.72.0-6.a.1.1, 8.6.0.b.1, 24.144.1-24.h.1.1, $\ldots$ |
$[]$ |
| 14.a4 |
14a6 |
14.a |
14a |
$6$ |
$18$ |
\( 2 \cdot 7 \) |
\( 2 \cdot 7^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.6, 9.24.0.1 |
2B, 3B.1.1 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$4$ |
$6$ |
$-0.685512$ |
$128787625/98$ |
$0.96763$ |
$7.07589$ |
$[1, 0, 1, -11, 12]$ |
\(y^2+xy+y=x^3-11x+12\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.b.1, 9.24.0-9.a.1.2, $\ldots$ |
$[]$ |
| 14.a5 |
14a4 |
14.a |
14a |
$6$ |
$18$ |
\( 2 \cdot 7 \) |
\( - 2^{2} \cdot 7 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.1, 9.24.0.1 |
2B, 3B.1.1 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$5$ |
$3$ |
$-1.032085$ |
$-15625/28$ |
$1.01712$ |
$4.19346$ |
$[1, 0, 1, -1, 0]$ |
\(y^2+xy+y=x^3-x\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.c.1, 9.24.0-9.a.1.2, $\ldots$ |
$[]$ |
| 14.a6 |
14a1 |
14.a |
14a |
$6$ |
$18$ |
\( 2 \cdot 7 \) |
\( - 2^{6} \cdot 7^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.1, 3.24.0.1 |
2B, 3Cs.1.1 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$5$ |
$1$ |
$-0.482779$ |
$9938375/21952$ |
$0.98695$ |
$6.49759$ |
$[1, 0, 1, 4, -6]$ |
\(y^2+xy+y=x^3+4x-6\) |
2.3.0.a.1, 3.24.0-3.a.1.1, 6.72.0-6.a.1.1, 8.6.0.c.1, 14.6.0.b.1, $\ldots$ |
$[]$ |
