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 |
46410.d1 |
46410a4 |
46410.d |
46410a |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{12} \cdot 7^{5} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$134.1067798$ |
$1$ |
|
$0$ |
$253624320$ |
$5.023987$ |
$6525213578865970265696405437575208534969/767130688571676495117187500$ |
$1.05203$ |
$8.53180$ |
$[1, 1, 0, -389305321043, -93494136872571087]$ |
\(y^2+xy=x^3+x^2-389305321043x-93494136872571087\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 52.12.0-4.c.1.1, $\ldots$ |
$[(1508601471872507885983985627371936709757566823225800653018719/1366673739905009915296034899, 879459458869071935918731825228173637973833771473035324607973288740209267480667812717964372/1366673739905009915296034899)]$ |
139230.dq1 |
139230m3 |
139230.dq |
139230m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{2} \cdot 3^{22} \cdot 5^{12} \cdot 7^{5} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$6.533938515$ |
$1$ |
|
$0$ |
$2028994560$ |
$5.573296$ |
$6525213578865970265696405437575208534969/767130688571676495117187500$ |
$1.05203$ |
$8.29696$ |
$[1, -1, 1, -3503747889392, 2524338191811529959]$ |
\(y^2+xy+y=x^3-x^2-3503747889392x+2524338191811529959\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 156.12.0.?, $\ldots$ |
$[(9728653/3, -1979843/3)]$ |
232050.ho1 |
232050ho4 |
232050.ho |
232050ho |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{18} \cdot 7^{5} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$6086983680$ |
$5.828705$ |
$6525213578865970265696405437575208534969/767130688571676495117187500$ |
$1.05203$ |
$8.20198$ |
$[1, 0, 0, -9732633026088, -11686747643805333708]$ |
\(y^2+xy=x^3-9732633026088x-11686747643805333708\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 140.12.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
324870.cy1 |
324870cy3 |
324870.cy |
324870cy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{12} \cdot 7^{11} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$12173967360$ |
$5.996941$ |
$6525213578865970265696405437575208534969/767130688571676495117187500$ |
$1.05203$ |
$8.14360$ |
$[1, 0, 1, -19075960731133, 32068431719409689468]$ |
\(y^2+xy+y=x^3-19075960731133x+32068431719409689468\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 280.24.0.?, 364.24.0.?, 520.24.0.?, $\ldots$ |
$[]$ |
371280.ed1 |
371280ed3 |
371280.ed |
371280ed |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{14} \cdot 3^{16} \cdot 5^{12} \cdot 7^{5} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6086983680$ |
$5.717133$ |
$6525213578865970265696405437575208534969/767130688571676495117187500$ |
$1.05203$ |
$7.79700$ |
$[0, 1, 0, -6228885136696, 5983612302074276180]$ |
\(y^2=x^3+x^2-6228885136696x+5983612302074276180\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.5, 52.12.0-4.c.1.2, $\ldots$ |
$[]$ |