| 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 |
| 38148.h2 |
38148f1 |
38148.h |
38148f |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1122$ |
$16$ |
$0$ |
$3.772431683$ |
$1$ |
|
$2$ |
$62208$ |
$0.953858$ |
$-27172077568/5845851$ |
$0.98541$ |
$3.37021$ |
$[0, -1, 0, -2629, -59903]$ |
\(y^2=x^3-x^2-2629x-59903\) |
3.4.0.a.1, 22.2.0.a.1, 51.8.0-3.a.1.2, 66.8.0.a.1, 1122.16.0.? |
$[(1144, 38637)]$ |
| 38148.i2 |
38148k1 |
38148.i |
38148k |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 11 \cdot 17^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$66$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1057536$ |
$2.370464$ |
$-27172077568/5845851$ |
$0.98541$ |
$4.98164$ |
$[0, 1, 0, -759877, -298862521]$ |
\(y^2=x^3+x^2-759877x-298862521\) |
3.8.0-3.a.1.2, 22.2.0.a.1, 66.16.0-66.a.1.4 |
$[ ]$ |
| 114444.d2 |
114444j1 |
114444.d |
114444j |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{18} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1122$ |
$16$ |
$0$ |
$3.043945205$ |
$1$ |
|
$0$ |
$497664$ |
$1.503164$ |
$-27172077568/5845851$ |
$0.98541$ |
$3.61825$ |
$[0, 0, 0, -23664, 1641044]$ |
\(y^2=x^3-23664x+1641044\) |
3.4.0.a.1, 22.2.0.a.1, 51.8.0-3.a.1.1, 66.8.0.a.1, 1122.16.0.? |
$[(1585/2, 59049/2)]$ |
| 114444.r2 |
114444u1 |
114444.r |
114444u |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{18} \cdot 11 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$66$ |
$16$ |
$0$ |
$14.90805811$ |
$1$ |
|
$0$ |
$8460288$ |
$2.919773$ |
$-27172077568/5845851$ |
$0.98541$ |
$5.07769$ |
$[0, 0, 0, -6838896, 8062449172]$ |
\(y^2=x^3-6838896x+8062449172\) |
3.8.0-3.a.1.1, 22.2.0.a.1, 66.16.0-66.a.1.1 |
$[(239729429/55, 3709786905783/55)]$ |
| 152592.c2 |
152592bj1 |
152592.c |
152592bj |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 11 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4230144$ |
$2.370464$ |
$-27172077568/5845851$ |
$0.98541$ |
$4.40303$ |
$[0, -1, 0, -759877, 298862521]$ |
\(y^2=x^3-x^2-759877x+298862521\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.? |
$[ ]$ |
| 152592.dh2 |
152592bf1 |
152592.dh |
152592bf |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2244$ |
$16$ |
$0$ |
$0.479252506$ |
$1$ |
|
$4$ |
$248832$ |
$0.953858$ |
$-27172077568/5845851$ |
$0.98541$ |
$2.97877$ |
$[0, 1, 0, -2629, 59903]$ |
\(y^2=x^3+x^2-2629x+59903\) |
3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 204.8.0.?, 2244.16.0.? |
$[(71, 486)]$ |
| 419628.t2 |
419628t1 |
419628.t |
419628t |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 11^{7} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1122$ |
$16$ |
$0$ |
$6.093424289$ |
$1$ |
|
$0$ |
$7464960$ |
$2.152805$ |
$-27172077568/5845851$ |
$0.98541$ |
$3.85727$ |
$[0, -1, 0, -318149, 81003441]$ |
\(y^2=x^3-x^2-318149x+81003441\) |
3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 102.8.0.?, 561.8.0.?, $\ldots$ |
$[(9176/5, 459999/5)]$ |
| 419628.bc2 |
419628bc1 |
419628.bc |
419628bc |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 11^{7} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$66$ |
$16$ |
$0$ |
$3.109862042$ |
$1$ |
|
$2$ |
$126904320$ |
$3.569412$ |
$-27172077568/5845851$ |
$0.98541$ |
$5.17025$ |
$[0, 1, 0, -91945157, 397418234871]$ |
\(y^2=x^3+x^2-91945157x+397418234871\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 22.2.0.a.1, 33.8.0-3.a.1.2, 66.16.0-66.a.1.3 |
$[(10666, 793881)]$ |
| 457776.l2 |
457776l1 |
457776.l |
457776l |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{18} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2244$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1990656$ |
$1.503164$ |
$-27172077568/5845851$ |
$0.98541$ |
$3.23342$ |
$[0, 0, 0, -23664, -1641044]$ |
\(y^2=x^3-23664x-1641044\) |
3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 204.8.0.?, 2244.16.0.? |
$[ ]$ |
| 457776.fr2 |
457776fr1 |
457776.fr |
457776fr |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{18} \cdot 11 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$33841152$ |
$2.919773$ |
$-27172077568/5845851$ |
$0.98541$ |
$4.53763$ |
$[0, 0, 0, -6838896, -8062449172]$ |
\(y^2=x^3-6838896x-8062449172\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.? |
$[ ]$ |
