| 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 |
| 4788.a1 |
4788d2 |
4788.a |
4788d |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19 \) |
\( 2^{8} \cdot 3^{28} \cdot 7^{4} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$135168$ |
$2.611015$ |
$2702232642991073488/1431572558302971$ |
$1.03024$ |
$6.44068$ |
$[0, 0, 0, -1658271, 238995430]$ |
\(y^2=x^3-1658271x+238995430\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.? |
$[]$ |
| 4788.a2 |
4788d1 |
4788.a |
4788d |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 3^{17} \cdot 7^{8} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$67584$ |
$2.264442$ |
$582498235727347712/368659410191667$ |
$1.09701$ |
$5.93240$ |
$[0, 0, 0, 394584, 29193649]$ |
\(y^2=x^3+394584x+29193649\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[]$ |
| 4788.b1 |
4788a2 |
4788.b |
4788a |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19 \) |
\( 2^{8} \cdot 3^{20} \cdot 7 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$3.950380536$ |
$1$ |
|
$3$ |
$21504$ |
$1.752575$ |
$895043160898000/12086562663$ |
$0.95781$ |
$5.49510$ |
$[0, 0, 0, -114735, 14783078]$ |
\(y^2=x^3-114735x+14783078\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[(166, 558)]$ |
| 4788.b2 |
4788a1 |
4788.b |
4788a |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 3^{13} \cdot 7^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.975190268$ |
$1$ |
|
$3$ |
$10752$ |
$1.406002$ |
$-10061824000/13965589323$ |
$1.09010$ |
$4.74155$ |
$[0, 0, 0, -1020, 614189]$ |
\(y^2=x^3-1020x+614189\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[(-77, 486)]$ |
| 4788.c1 |
4788b2 |
4788.c |
4788b |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19 \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{3} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$13824$ |
$1.368288$ |
$1367595682000/402300927$ |
$0.92192$ |
$4.72994$ |
$[0, 0, 0, -13215, 410006]$ |
\(y^2=x^3-13215x+410006\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[]$ |
| 4788.c2 |
4788b1 |
4788.c |
4788b |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6912$ |
$1.021715$ |
$103737344000/127413867$ |
$0.97321$ |
$4.11204$ |
$[0, 0, 0, 2220, 42653]$ |
\(y^2=x^3+2220x+42653\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[]$ |
| 4788.d1 |
4788c2 |
4788.d |
4788c |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19 \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.167475$ |
$52852623679312/8379$ |
$0.93884$ |
$5.16121$ |
$[0, 0, 0, -44679, 3634990]$ |
\(y^2=x^3-44679x+3634990\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.? |
$[]$ |
| 4788.d2 |
4788c1 |
4788.d |
4788c |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.820902$ |
$-204589760512/2600283$ |
$1.04305$ |
$4.18112$ |
$[0, 0, 0, -2784, 57157]$ |
\(y^2=x^3-2784x+57157\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[]$ |
| 4788.e1 |
4788f2 |
4788.e |
4788f |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19 \) |
\( 2^{8} \cdot 3^{6} \cdot 7 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$532$ |
$12$ |
$0$ |
$0.604032113$ |
$1$ |
|
$7$ |
$1920$ |
$0.380928$ |
$12869712/2527$ |
$1.01837$ |
$3.36414$ |
$[0, 0, 0, -279, -1458]$ |
\(y^2=x^3-279x-1458\) |
2.3.0.a.1, 28.6.0.a.1, 76.6.0.?, 532.12.0.? |
$[(-9, 18)]$ |
| 4788.e2 |
4788f1 |
4788.e |
4788f |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$532$ |
$12$ |
$0$ |
$1.208064227$ |
$1$ |
|
$7$ |
$960$ |
$0.034354$ |
$442368/931$ |
$0.82449$ |
$2.75361$ |
$[0, 0, 0, 36, -135]$ |
\(y^2=x^3+36x-135\) |
2.3.0.a.1, 28.6.0.b.1, 38.6.0.b.1, 532.12.0.? |
$[(10, 35)]$ |
| 4788.f1 |
4788e2 |
4788.f |
4788e |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19 \) |
\( 2^{8} \cdot 3^{16} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$6.555969145$ |
$1$ |
|
$1$ |
$15360$ |
$1.411882$ |
$50338425969232/54974619$ |
$0.93852$ |
$5.15545$ |
$[0, 0, 0, -43959, -3544130]$ |
\(y^2=x^3-43959x-3544130\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.? |
$[(1377/2, 37625/2)]$ |
| 4788.f2 |
4788e1 |
4788.f |
4788e |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19 \) |
\( - 2^{4} \cdot 3^{11} \cdot 7^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$3.277984572$ |
$1$ |
|
$3$ |
$7680$ |
$1.065308$ |
$-83369132032/210622923$ |
$1.04089$ |
$4.27087$ |
$[0, 0, 0, -2064, -83603]$ |
\(y^2=x^3-2064x-83603\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[(311, 5418)]$ |
