| 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 |
| 20328.s1 |
20328t1 |
20328.s |
20328t |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{3} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1.024040250$ |
$1$ |
|
$4$ |
$76032$ |
$1.530596$ |
$-91625216/9261$ |
$0.87587$ |
$4.31945$ |
$[0, 1, 0, -31500, 2321757]$ |
\(y^2=x^3+x^2-31500x+2321757\) |
462.2.0.? |
$[(282, 3993)]$ |
| 20328.w1 |
20328f1 |
20328.w |
20328f |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{3} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$0.332837337$ |
$1$ |
|
$6$ |
$6912$ |
$0.331647$ |
$-91625216/9261$ |
$0.87587$ |
$2.86907$ |
$[0, 1, 0, -260, -1839]$ |
\(y^2=x^3+x^2-260x-1839\) |
462.2.0.? |
$[(40, 231)]$ |
| 40656.ba1 |
40656a1 |
40656.ba |
40656a |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{3} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1.545444859$ |
$1$ |
|
$2$ |
$13824$ |
$0.331647$ |
$-91625216/9261$ |
$0.87587$ |
$2.68169$ |
$[0, -1, 0, -260, 1839]$ |
\(y^2=x^3-x^2-260x+1839\) |
462.2.0.? |
$[(15, 33)]$ |
| 40656.bc1 |
40656n1 |
40656.bc |
40656n |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{3} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$152064$ |
$1.530596$ |
$-91625216/9261$ |
$0.87587$ |
$4.03734$ |
$[0, -1, 0, -31500, -2321757]$ |
\(y^2=x^3-x^2-31500x-2321757\) |
462.2.0.? |
$[]$ |
| 60984.w1 |
60984n1 |
60984.w |
60984n |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{3} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$608256$ |
$2.079903$ |
$-91625216/9261$ |
$0.87587$ |
$4.48701$ |
$[0, 0, 0, -283503, -62970941]$ |
\(y^2=x^3-283503x-62970941\) |
462.2.0.? |
$[]$ |
| 60984.ba1 |
60984ca1 |
60984.ba |
60984ca |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{3} \cdot 11^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$0.204619002$ |
$1$ |
|
$20$ |
$55296$ |
$0.880954$ |
$-91625216/9261$ |
$0.87587$ |
$3.18125$ |
$[0, 0, 0, -2343, 47311]$ |
\(y^2=x^3-2343x+47311\) |
462.2.0.? |
$[(5, 189), (33, 77)]$ |
| 121968.cd1 |
121968z1 |
121968.cd |
121968z |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{3} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$0.880954$ |
$-91625216/9261$ |
$0.87587$ |
$2.99296$ |
$[0, 0, 0, -2343, -47311]$ |
\(y^2=x^3-2343x-47311\) |
462.2.0.? |
$[]$ |
| 121968.cu1 |
121968br1 |
121968.cu |
121968br |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{3} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1.857034713$ |
$1$ |
|
$2$ |
$1216512$ |
$2.079903$ |
$-91625216/9261$ |
$0.87587$ |
$4.22145$ |
$[0, 0, 0, -283503, 62970941]$ |
\(y^2=x^3-283503x+62970941\) |
462.2.0.? |
$[(-484, 9317)]$ |
| 142296.p1 |
142296be1 |
142296.p |
142296be |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{9} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$9.680266087$ |
$1$ |
|
$0$ |
$3649536$ |
$2.503551$ |
$-91625216/9261$ |
$0.87587$ |
$4.59505$ |
$[0, -1, 0, -1543516, -799449671]$ |
\(y^2=x^3-x^2-1543516x-799449671\) |
462.2.0.? |
$[(3879280/51, 1940069593/51)]$ |
| 142296.q1 |
142296dc1 |
142296.q |
142296dc |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{9} \cdot 11^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$0.973210035$ |
$1$ |
|
$10$ |
$331776$ |
$1.304604$ |
$-91625216/9261$ |
$0.87587$ |
$3.38253$ |
$[0, -1, 0, -12756, 605277]$ |
\(y^2=x^3-x^2-12756x+605277\) |
462.2.0.? |
$[(257, 3773), (26, 539)]$ |
| 162624.bn1 |
162624hu1 |
162624.bn |
162624hu |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{3} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$3.977104877$ |
$1$ |
|
$2$ |
$1216512$ |
$1.877169$ |
$-91625216/9261$ |
$0.87587$ |
$3.91749$ |
$[0, -1, 0, -126001, 18700057]$ |
\(y^2=x^3-x^2-126001x+18700057\) |
462.2.0.? |
$[(1896, 81191)]$ |
| 162624.bw1 |
162624hr1 |
162624.bw |
162624hr |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{3} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$0.678221$ |
$-91625216/9261$ |
$0.87587$ |
$2.71846$ |
$[0, -1, 0, -1041, -13671]$ |
\(y^2=x^3-x^2-1041x-13671\) |
462.2.0.? |
$[]$ |
| 162624.ge1 |
162624u1 |
162624.ge |
162624u |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{3} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1.169371961$ |
$1$ |
|
$2$ |
$110592$ |
$0.678221$ |
$-91625216/9261$ |
$0.87587$ |
$2.71846$ |
$[0, 1, 0, -1041, 13671]$ |
\(y^2=x^3+x^2-1041x+13671\) |
462.2.0.? |
$[(18, 33)]$ |
| 162624.gm1 |
162624q1 |
162624.gm |
162624q |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{3} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1216512$ |
$1.877169$ |
$-91625216/9261$ |
$0.87587$ |
$3.91749$ |
$[0, 1, 0, -126001, -18700057]$ |
\(y^2=x^3+x^2-126001x-18700057\) |
462.2.0.? |
$[]$ |
| 284592.hn1 |
284592hn1 |
284592.hn |
284592hn |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{9} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$2.066971647$ |
$1$ |
|
$0$ |
$7299072$ |
$2.503551$ |
$-91625216/9261$ |
$0.87587$ |
$4.34144$ |
$[0, 1, 0, -1543516, 799449671]$ |
\(y^2=x^3+x^2-1543516x+799449671\) |
462.2.0.? |
$[(3665/4, 1369599/4)]$ |
| 284592.ho1 |
284592ho1 |
284592.ho |
284592ho |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{9} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$2.484970955$ |
$1$ |
|
$2$ |
$663552$ |
$1.304604$ |
$-91625216/9261$ |
$0.87587$ |
$3.19584$ |
$[0, 1, 0, -12756, -605277]$ |
\(y^2=x^3+x^2-12756x-605277\) |
462.2.0.? |
$[(513, 11319)]$ |
| 426888.fc1 |
426888fc1 |
426888.fc |
426888fc |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{9} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$3.512585940$ |
$1$ |
|
$2$ |
$29196288$ |
$3.052856$ |
$-91625216/9261$ |
$0.87587$ |
$4.71411$ |
$[0, 0, 0, -13891647, 21599032763]$ |
\(y^2=x^3-13891647x+21599032763\) |
462.2.0.? |
$[(-2057, 203643)]$ |
| 426888.ff1 |
426888ff1 |
426888.ff |
426888ff |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{9} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2654208$ |
$1.853909$ |
$-91625216/9261$ |
$0.87587$ |
$3.60434$ |
$[0, 0, 0, -114807, -16227673]$ |
\(y^2=x^3-114807x-16227673\) |
462.2.0.? |
$[]$ |
| 487872.kh1 |
487872kh1 |
487872.kh |
487872kh |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{3} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$9732096$ |
$2.426476$ |
$-91625216/9261$ |
$0.87587$ |
$4.09217$ |
$[0, 0, 0, -1134012, -503767528]$ |
\(y^2=x^3-1134012x-503767528\) |
462.2.0.? |
$[]$ |
| 487872.kk1 |
487872kk1 |
487872.kk |
487872kk |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{3} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$3.430475634$ |
$1$ |
|
$0$ |
$884736$ |
$1.227528$ |
$-91625216/9261$ |
$0.87587$ |
$2.99371$ |
$[0, 0, 0, -9372, -378488]$ |
\(y^2=x^3-9372x-378488\) |
462.2.0.? |
$[(473/2, 3267/2)]$ |
| 487872.lj1 |
487872lj1 |
487872.lj |
487872lj |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{3} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9732096$ |
$2.426476$ |
$-91625216/9261$ |
$0.87587$ |
$4.09217$ |
$[0, 0, 0, -1134012, 503767528]$ |
\(y^2=x^3-1134012x+503767528\) |
462.2.0.? |
$[]$ |
| 487872.lm1 |
487872lm1 |
487872.lm |
487872lm |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{3} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1.085565365$ |
$1$ |
|
$2$ |
$884736$ |
$1.227528$ |
$-91625216/9261$ |
$0.87587$ |
$2.99371$ |
$[0, 0, 0, -9372, 378488]$ |
\(y^2=x^3-9372x+378488\) |
462.2.0.? |
$[(-11, 693)]$ |
