| 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 |
| 16940.a1 |
16940f4 |
16940.a |
16940f |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 7^{12} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1244160$ |
$2.987164$ |
$3259751350395879376/3806353980275$ |
$0.97311$ |
$6.42477$ |
$[0, 1, 0, -23732980, 44448862500]$ |
\(y^2=x^3+x^2-23732980x+44448862500\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 20.6.0.c.1, $\ldots$ |
$[]$ |
| 16940.a2 |
16940f3 |
16940.a |
16940f |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 5 \cdot 7^{6} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$622080$ |
$2.640591$ |
$52112158467655991296/71177645$ |
$1.08004$ |
$6.42468$ |
$[0, 1, 0, -23726325, 44475067228]$ |
\(y^2=x^3+x^2-23726325x+44475067228\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.8, $\ldots$ |
$[]$ |
| 16940.a3 |
16940f2 |
16940.a |
16940f |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 7^{4} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$414720$ |
$2.437859$ |
$329890530231376/49933296875$ |
$0.92505$ |
$5.48012$ |
$[0, 1, 0, -1105980, -385073900]$ |
\(y^2=x^3+x^2-1105980x-385073900\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 20.6.0.c.1, $\ldots$ |
$[]$ |
| 16940.a4 |
16940f1 |
16940.a |
16940f |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 7^{2} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$207360$ |
$2.091286$ |
$106110329552896/10850811125$ |
$1.03569$ |
$5.07890$ |
$[0, 1, 0, -300725, 57494248]$ |
\(y^2=x^3+x^2-300725x+57494248\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.2, $\ldots$ |
$[]$ |
| 16940.b1 |
16940a2 |
16940.b |
16940a |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 7^{8} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.136 |
2B |
$6160$ |
$192$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$506880$ |
$2.786488$ |
$7020843884784/3603000625$ |
$1.00469$ |
$5.82352$ |
$[0, 0, 0, -3371423, 801711878]$ |
\(y^2=x^3-3371423x+801711878\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$ |
$[]$ |
| 16940.b2 |
16940a1 |
16940.b |
16940a |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{4} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.41 |
2B |
$6160$ |
$192$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$253440$ |
$2.439915$ |
$1434065043456/937890625$ |
$1.32766$ |
$5.37567$ |
$[0, 0, 0, 787952, 97113753]$ |
\(y^2=x^3+787952x+97113753\) |
2.3.0.a.1, 4.12.0.e.1, 8.24.0.bs.1, 22.6.0.a.1, 44.24.0.e.1, $\ldots$ |
$[]$ |
| 16940.c1 |
16940b2 |
16940.c |
16940b |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.136 |
2B |
$6160$ |
$192$ |
$9$ |
$1.394902742$ |
$1$ |
|
$3$ |
$46080$ |
$1.587540$ |
$7020843884784/3603000625$ |
$1.00469$ |
$4.34599$ |
$[0, 0, 0, -27863, -602338]$ |
\(y^2=x^3-27863x-602338\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$ |
$[(286, 3850)]$ |
| 16940.c2 |
16940b1 |
16940.c |
16940b |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{4} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.41 |
2B |
$6160$ |
$192$ |
$9$ |
$2.789805484$ |
$1$ |
|
$3$ |
$23040$ |
$1.240967$ |
$1434065043456/937890625$ |
$1.32766$ |
$3.89813$ |
$[0, 0, 0, 6512, -72963]$ |
\(y^2=x^3+6512x-72963\) |
2.3.0.a.1, 4.12.0.e.1, 8.24.0.bs.1, 22.6.0.a.1, 44.24.0.e.1, $\ldots$ |
$[(187, 2772)]$ |
| 16940.d1 |
16940g2 |
16940.d |
16940g |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1540$ |
$12$ |
$0$ |
$4.596788079$ |
$1$ |
|
$3$ |
$23040$ |
$1.158710$ |
$44851536/13475$ |
$0.75216$ |
$3.85640$ |
$[0, 0, 0, -5687, -114466]$ |
\(y^2=x^3-5687x-114466\) |
2.3.0.a.1, 44.6.0.a.1, 140.6.0.?, 1540.12.0.? |
$[(2398, 117370)]$ |
| 16940.d2 |
16940g1 |
16940.d |
16940g |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 5 \cdot 7 \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1540$ |
$12$ |
$0$ |
$9.193576158$ |
$1$ |
|
$1$ |
$11520$ |
$0.812137$ |
$3538944/4235$ |
$1.07826$ |
$3.31761$ |
$[0, 0, 0, 968, -11979]$ |
\(y^2=x^3+968x-11979\) |
2.3.0.a.1, 44.6.0.b.1, 70.6.0.a.1, 1540.12.0.? |
$[(9585/4, 939639/4)]$ |
| 16940.e1 |
16940d2 |
16940.e |
16940d |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7^{3} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2310$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48600$ |
$1.456495$ |
$-225637236736/1715$ |
$1.02937$ |
$4.73171$ |
$[0, 1, 0, -97445, 11675783]$ |
\(y^2=x^3+x^2-97445x+11675783\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 70.2.0.a.1, 210.8.0.?, 2310.16.0.? |
$[]$ |
| 16940.e2 |
16940d1 |
16940.e |
16940d |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2310$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16200$ |
$0.907188$ |
$-65536/875$ |
$0.97204$ |
$3.51262$ |
$[0, 1, 0, -645, 30743]$ |
\(y^2=x^3+x^2-645x+30743\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 70.2.0.a.1, 210.8.0.?, 2310.16.0.? |
$[]$ |
| 16940.f1 |
16940e2 |
16940.f |
16940e |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 7^{4} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$69120$ |
$1.468243$ |
$1193895376/660275$ |
$0.85133$ |
$4.19341$ |
$[0, -1, 0, -16980, 185000]$ |
\(y^2=x^3-x^2-16980x+185000\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? |
$[]$ |
| 16940.f2 |
16940e1 |
16940.f |
16940e |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$34560$ |
$1.121670$ |
$4294967296/29645$ |
$1.07594$ |
$4.04015$ |
$[0, -1, 0, -10325, -397978]$ |
\(y^2=x^3-x^2-10325x-397978\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? |
$[]$ |
| 16940.g1 |
16940c1 |
16940.g |
16940c |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7^{5} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$71400$ |
$1.287880$ |
$14155776/84035$ |
$1.21697$ |
$3.96652$ |
$[0, 0, 0, 3872, -282172]$ |
\(y^2=x^3+3872x-282172\) |
70.2.0.a.1 |
$[]$ |
