| 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 |
| 89760.bd2 |
89760bo3 |
89760.bd |
89760bo |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{9} \cdot 3^{24} \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.57 |
2B |
$44880$ |
$192$ |
$3$ |
$5.721350269$ |
$4$ |
$2$ |
$3$ |
$1966080$ |
$2.340763$ |
$82544817451565439368/14523938913535425$ |
$0.97431$ |
$4.56806$ |
$[0, -1, 0, -725680, -198256328]$ |
\(y^2=x^3-x^2-725680x-198256328\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 136.48.0.?, 528.48.0.?, $\ldots$ |
$[(-451, 6090)]$ |
| 89760.bv2 |
89760cf3 |
89760.bv |
89760cf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{9} \cdot 3^{24} \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.47 |
2B |
$44880$ |
$192$ |
$3$ |
$2.525620540$ |
$1$ |
|
$7$ |
$1966080$ |
$2.340763$ |
$82544817451565439368/14523938913535425$ |
$0.97431$ |
$4.56806$ |
$[0, 1, 0, -725680, 198256328]$ |
\(y^2=x^3+x^2-725680x+198256328\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 136.48.0.?, 528.48.0.?, $\ldots$ |
$[(971, 20250)]$ |
| 179520.g2 |
179520di3 |
179520.g |
179520di |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{15} \cdot 3^{24} \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.112 |
2B |
$44880$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$7864320$ |
$2.687336$ |
$82544817451565439368/14523938913535425$ |
$0.97431$ |
$4.65010$ |
$[0, -1, 0, -2902721, 1588953345]$ |
\(y^2=x^3-x^2-2902721x+1588953345\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.7, 68.12.0-4.c.1.2, 136.48.0.?, $\ldots$ |
$[]$ |
| 179520.gb2 |
179520by4 |
179520.gb |
179520by |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{15} \cdot 3^{24} \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.108 |
2B |
$44880$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$7864320$ |
$2.687336$ |
$82544817451565439368/14523938913535425$ |
$0.97431$ |
$4.65010$ |
$[0, 1, 0, -2902721, -1588953345]$ |
\(y^2=x^3+x^2-2902721x-1588953345\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.5, 68.12.0-4.c.1.1, 136.48.0.?, $\ldots$ |
$[]$ |
| 269280.g2 |
269280g4 |
269280.g |
269280g |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{9} \cdot 3^{30} \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$44880$ |
$192$ |
$3$ |
$6.484499699$ |
$1$ |
|
$3$ |
$15728640$ |
$2.890068$ |
$82544817451565439368/14523938913535425$ |
$0.97431$ |
$4.69387$ |
$[0, 0, 0, -6531123, -5359451978]$ |
\(y^2=x^3-6531123x-5359451978\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 24.24.0-8.o.1.8, $\ldots$ |
$[(-1878, 16808)]$ |
| 269280.bv2 |
269280bv2 |
269280.bv |
269280bv |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{9} \cdot 3^{30} \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$44880$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$15728640$ |
$2.890068$ |
$82544817451565439368/14523938913535425$ |
$0.97431$ |
$4.69387$ |
$[0, 0, 0, -6531123, 5359451978]$ |
\(y^2=x^3-6531123x+5359451978\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 24.24.0-8.o.1.6, $\ldots$ |
$[]$ |
| 448800.cm2 |
448800cm2 |
448800.cm |
448800cm |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{9} \cdot 3^{24} \cdot 5^{8} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$44880$ |
$192$ |
$3$ |
$11.96195314$ |
$1$ |
|
$1$ |
$47185920$ |
$3.145481$ |
$82544817451565439368/14523938913535425$ |
$0.97431$ |
$4.74514$ |
$[0, -1, 0, -18142008, 24818325012]$ |
\(y^2=x^3-x^2-18142008x+24818325012\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.2, 40.24.0-8.o.1.1, $\ldots$ |
$[(-2498908/29, 5587259150/29)]$ |
| 448800.dh2 |
448800dh4 |
448800.dh |
448800dh |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{9} \cdot 3^{24} \cdot 5^{8} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$44880$ |
$192$ |
$3$ |
$2.415440599$ |
$1$ |
|
$3$ |
$47185920$ |
$3.145481$ |
$82544817451565439368/14523938913535425$ |
$0.97431$ |
$4.74514$ |
$[0, 1, 0, -18142008, -24818325012]$ |
\(y^2=x^3+x^2-18142008x-24818325012\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.1, 40.24.0-8.o.1.3, $\ldots$ |
$[(4863, 44550)]$ |
