| 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 |
| 126.a1 |
126b3 |
126.a |
126b |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.120 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$128$ |
$0.738407$ |
$268498407453697/252$ |
$1.05727$ |
$8.23268$ |
$[1, -1, 0, -12096, -509036]$ |
\(y^2+xy=x^3-x^2-12096x-509036\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.2, 16.48.0.z.2, $\ldots$ |
$[]$ |
| 126.a2 |
126b5 |
126.a |
126b |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( 2 \cdot 3^{10} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$256$ |
$1.084980$ |
$84448510979617/933897762$ |
$1.05309$ |
$7.99350$ |
$[1, -1, 0, -8226, 286474]$ |
\(y^2+xy=x^3-x^2-8226x+286474\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 12.12.0-4.c.1.1, 24.96.0-8.p.1.1, $\ldots$ |
$[]$ |
| 126.a3 |
126b4 |
126.a |
126b |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{14} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$128$ |
$0.738407$ |
$124475734657/63011844$ |
$1.06499$ |
$6.64540$ |
$[1, -1, 0, -936, -3668]$ |
\(y^2+xy=x^3-x^2-936x-3668\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 12.24.0-4.b.1.1, 24.96.0-8.f.1.1, $\ldots$ |
$[]$ |
| 126.a4 |
126b2 |
126.a |
126b |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{10} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.97 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$64$ |
$0.391834$ |
$65597103937/63504$ |
$1.01692$ |
$6.51295$ |
$[1, -1, 0, -756, -7808]$ |
\(y^2+xy=x^3-x^2-756x-7808\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 12.24.0-4.b.1.3, 24.96.0-8.i.1.3, $\ldots$ |
$[]$ |
| 126.a5 |
126b1 |
126.a |
126b |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( - 2^{8} \cdot 3^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$32$ |
$0.045260$ |
$-7189057/16128$ |
$0.98224$ |
$4.95509$ |
$[1, -1, 0, -36, -176]$ |
\(y^2+xy=x^3-x^2-36x-176\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$ |
$[]$ |
| 126.a6 |
126b6 |
126.a |
126b |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( - 2 \cdot 3^{22} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$256$ |
$1.084980$ |
$6359387729183/4218578658$ |
$1.08314$ |
$7.45875$ |
$[1, -1, 0, 3474, -31010]$ |
\(y^2+xy=x^3-x^2+3474x-31010\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 12.12.0-4.c.1.1, 16.48.0.e.1, $\ldots$ |
$[]$ |
| 126.b1 |
126a6 |
126.b |
126a |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{6} \cdot 7^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.24.0.1 |
2B, 3B.1.1 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$4$ |
$144$ |
$0.962407$ |
$2251439055699625/25088$ |
$1.06489$ |
$8.67237$ |
$[1, -1, 1, -24575, 1488935]$ |
\(y^2+xy+y=x^3-x^2-24575x+1488935\) |
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, $\ldots$ |
$[]$ |
| 126.b2 |
126a5 |
126.b |
126a |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( - 2^{18} \cdot 3^{6} \cdot 7 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.24.0.1 |
2B, 3B.1.1 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$5$ |
$72$ |
$0.615833$ |
$-548347731625/1835008$ |
$1.02933$ |
$6.95320$ |
$[1, -1, 1, -1535, 23591]$ |
\(y^2+xy+y=x^3-x^2-1535x+23591\) |
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, $\ldots$ |
$[]$ |
| 126.b3 |
126a4 |
126.b |
126a |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( 2^{3} \cdot 3^{6} \cdot 7^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.24.0.1 |
2B, 3Cs.1.1 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$4$ |
$48$ |
$0.413101$ |
$4956477625/941192$ |
$1.00821$ |
$5.97890$ |
$[1, -1, 1, -320, 1883]$ |
\(y^2+xy+y=x^3-x^2-320x+1883\) |
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, $\ldots$ |
$[]$ |
| 126.b4 |
126a2 |
126.b |
126a |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( 2 \cdot 3^{6} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.24.0.3 |
2B, 3B.1.2 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$16$ |
$-0.136205$ |
$128787625/98$ |
$0.96763$ |
$5.22413$ |
$[1, -1, 1, -95, -331]$ |
\(y^2+xy+y=x^3-x^2-95x-331\) |
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, $\ldots$ |
$[]$ |
| 126.b5 |
126a1 |
126.b |
126a |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( - 2^{2} \cdot 3^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.24.0.3 |
2B, 3B.1.2 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$8$ |
$-0.482779$ |
$-15625/28$ |
$1.01712$ |
$3.65125$ |
$[1, -1, 1, -5, -7]$ |
\(y^2+xy+y=x^3-x^2-5x-7\) |
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, $\ldots$ |
$[]$ |
| 126.b6 |
126a3 |
126.b |
126a |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.24.0.1 |
2B, 3Cs.1.1 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$5$ |
$24$ |
$0.066527$ |
$9938375/21952$ |
$0.98695$ |
$4.90856$ |
$[1, -1, 1, 40, 155]$ |
\(y^2+xy+y=x^3-x^2+40x+155\) |
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, $\ldots$ |
$[]$ |
