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 |
62790.v6 |
62790w2 |
62790.v |
62790w |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 13^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$251160$ |
$384$ |
$5$ |
$3.018098887$ |
$1$ |
|
$20$ |
$3317760$ |
$2.668751$ |
$14968716721822395621081721/91209357028881000000$ |
$0.97673$ |
$5.24714$ |
$[1, 0, 1, -5134368, 4453877806]$ |
\(y^2+xy+y=x^3-5134368x+4453877806\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 40.12.0-2.a.1.1, 120.96.0.?, $\ldots$ |
$[(1142, 8379)]$ |
188370.ca6 |
188370u2 |
188370.ca |
188370u |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{6} \cdot 7^{2} \cdot 13^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$251160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$26542080$ |
$3.218056$ |
$14968716721822395621081721/91209357028881000000$ |
$0.97673$ |
$5.31523$ |
$[1, -1, 1, -46209308, -120254700769]$ |
\(y^2+xy+y=x^3-x^2-46209308x-120254700769\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 92.12.0.?, 120.96.0.?, $\ldots$ |
$[]$ |
313950.cy6 |
313950cy2 |
313950.cy |
313950cy |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{12} \cdot 7^{2} \cdot 13^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.1, 3.4.0.1 |
2Cs, 3B |
$251160$ |
$384$ |
$5$ |
$3.645162383$ |
$1$ |
|
$8$ |
$79626240$ |
$3.473469$ |
$14968716721822395621081721/91209357028881000000$ |
$0.97673$ |
$5.34287$ |
$[1, 1, 1, -128359188, 556734725781]$ |
\(y^2+xy+y=x^3+x^2-128359188x+556734725781\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.1, 15.8.0-3.a.1.2, $\ldots$ |
$[(7155, 64847)]$ |
439530.i6 |
439530i2 |
439530.i |
439530i |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 7^{8} \cdot 13^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$251160$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$2$ |
$159252480$ |
$3.641705$ |
$14968716721822395621081721/91209357028881000000$ |
$0.97673$ |
$5.35989$ |
$[1, 1, 0, -251584008, -1527931671552]$ |
\(y^2+xy=x^3+x^2-251584008x-1527931671552\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 21.8.0-3.a.1.1, 42.48.0-6.a.1.1, $\ldots$ |
$[]$ |