| 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 |
| 42978.c2 |
42978b2 |
42978.c |
42978b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \) |
\( 2^{2} \cdot 3^{4} \cdot 13^{2} \cdot 19^{6} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$57304$ |
$48$ |
$0$ |
$30.87935928$ |
$1$ |
|
$2$ |
$20459520$ |
$3.620895$ |
$111825759760338976846738658338393/1532291201797601099556$ |
$1.04592$ |
$6.91708$ |
$[1, 1, 0, -1003704909, -12239735151735]$ |
\(y^2+xy=x^3+x^2-1003704909x-12239735151735\) |
2.6.0.a.1, 52.12.0-2.a.1.1, 116.12.0.?, 152.12.0.?, 1508.24.0.?, $\ldots$ |
$[(1452400630322027/67577, 55016681170082943648278/67577)]$ |
| 128934.bc2 |
128934bj2 |
128934.bc |
128934bj |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 19 \cdot 29 \) |
\( 2^{2} \cdot 3^{10} \cdot 13^{2} \cdot 19^{6} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$171912$ |
$48$ |
$0$ |
$1$ |
$25$ |
$5$ |
$2$ |
$163676160$ |
$4.170204$ |
$111825759760338976846738658338393/1532291201797601099556$ |
$1.04592$ |
$6.83146$ |
$[1, -1, 1, -9033344186, 330463815752661]$ |
\(y^2+xy+y=x^3-x^2-9033344186x+330463815752661\) |
2.6.0.a.1, 156.12.0.?, 348.12.0.?, 456.12.0.?, 1508.12.0.?, $\ldots$ |
$[]$ |
| 343824.ca2 |
343824ca2 |
343824.ca |
343824ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 19 \cdot 29 \) |
\( 2^{14} \cdot 3^{4} \cdot 13^{2} \cdot 19^{6} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$57304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$491028480$ |
$4.314041$ |
$111825759760338976846738658338393/1532291201797601099556$ |
$1.04592$ |
$6.44125$ |
$[0, 1, 0, -16059278552, 783310931153940]$ |
\(y^2=x^3+x^2-16059278552x+783310931153940\) |
2.6.0.a.1, 52.12.0-2.a.1.1, 116.12.0.?, 152.12.0.?, 1508.24.0.?, $\ldots$ |
$[]$ |
