| 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 |
| 10626.p6 |
10626r1 |
10626.p |
10626r |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{8} \cdot 3^{16} \cdot 7^{4} \cdot 11^{2} \cdot 23 \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.98 |
2B |
$368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$102400$ |
$1.925875$ |
$125177609053596564863/73635189229502208$ |
$1.01115$ |
$4.99148$ |
$[1, 0, 0, 104216, 1671488]$ |
\(y^2+xy=x^3+104216x+1671488\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 16.96.0-16.z.1.2, 46.6.0.a.1, $\ldots$ |
$[]$ |
| 31878.u6 |
31878v1 |
31878.u |
31878v |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{8} \cdot 3^{22} \cdot 7^{4} \cdot 11^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$1104$ |
$192$ |
$1$ |
$2.570194703$ |
$1$ |
|
$3$ |
$819200$ |
$2.475182$ |
$125177609053596564863/73635189229502208$ |
$1.01115$ |
$5.09832$ |
$[1, -1, 0, 937944, -45130176]$ |
\(y^2+xy=x^3-x^2+937944x-45130176\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 16.48.0.z.1, $\ldots$ |
$[(448, 21336)]$ |
| 74382.bg6 |
74382x1 |
74382.bg |
74382x |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( - 2^{8} \cdot 3^{16} \cdot 7^{10} \cdot 11^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$2576$ |
$192$ |
$1$ |
$8.267674252$ |
$1$ |
|
$3$ |
$4915200$ |
$2.898830$ |
$125177609053596564863/73635189229502208$ |
$1.01115$ |
$5.16643$ |
$[1, 1, 1, 5106583, -568213801]$ |
\(y^2+xy+y=x^3+x^2+5106583x-568213801\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(164849, 66855446)]$ |
| 85008.f6 |
85008bm1 |
85008.f |
85008bm |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{20} \cdot 3^{16} \cdot 7^{4} \cdot 11^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.146 |
2B |
$368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2457600$ |
$2.619022$ |
$125177609053596564863/73635189229502208$ |
$1.01115$ |
$4.80983$ |
$[0, -1, 0, 1667456, -106975232]$ |
\(y^2=x^3-x^2+1667456x-106975232\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.3, 16.96.0-16.z.1.1, 46.6.0.a.1, $\ldots$ |
$[]$ |
| 116886.m6 |
116886l1 |
116886.m |
116886l |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{16} \cdot 7^{4} \cdot 11^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$4048$ |
$192$ |
$1$ |
$2.431459224$ |
$1$ |
|
$3$ |
$12288000$ |
$3.124821$ |
$125177609053596564863/73635189229502208$ |
$1.01115$ |
$5.19872$ |
$[1, 0, 1, 12610133, -2212140394]$ |
\(y^2+xy+y=x^3+12610133x-2212140394\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(1903, 168392)]$ |
| 223146.o6 |
223146cq1 |
223146.o |
223146cq |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( - 2^{8} \cdot 3^{22} \cdot 7^{10} \cdot 11^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$7728$ |
$192$ |
$1$ |
$14.76327040$ |
$1$ |
|
$1$ |
$39321600$ |
$3.448135$ |
$125177609053596564863/73635189229502208$ |
$1.01115$ |
$5.24079$ |
$[1, -1, 0, 45959247, 15387731869]$ |
\(y^2+xy=x^3-x^2+45959247x+15387731869\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 46.6.0.a.1, $\ldots$ |
$[(29136354/37, 164636372011/37)]$ |
| 244398.bq6 |
244398bq1 |
244398.bq |
244398bq |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{16} \cdot 7^{4} \cdot 11^{2} \cdot 23^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.118 |
2B |
$368$ |
$192$ |
$1$ |
$3.368137438$ |
$1$ |
|
$5$ |
$54067200$ |
$3.493622$ |
$125177609053596564863/73635189229502208$ |
$1.01115$ |
$5.24636$ |
$[1, 0, 0, 55130253, -20226733983]$ |
\(y^2+xy=x^3+55130253x-20226733983\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.8, 16.96.0-16.z.1.7, 46.6.0.a.1, $\ldots$ |
$[(558, 103209)]$ |
| 255024.ec6 |
255024ec1 |
255024.ec |
255024ec |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{20} \cdot 3^{22} \cdot 7^{4} \cdot 11^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$1104$ |
$192$ |
$1$ |
$8.332442348$ |
$1$ |
|
$1$ |
$19660800$ |
$3.168327$ |
$125177609053596564863/73635189229502208$ |
$1.01115$ |
$4.91486$ |
$[0, 0, 0, 15007101, 2873324162]$ |
\(y^2=x^3+15007101x+2873324162\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.1, 16.48.0.z.1, $\ldots$ |
$[(3364561/23, 7255543680/23)]$ |
| 265650.r6 |
265650r1 |
265650.r |
265650r |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{8} \cdot 3^{16} \cdot 5^{6} \cdot 7^{4} \cdot 11^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$1840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$13107200$ |
$2.730595$ |
$125177609053596564863/73635189229502208$ |
$1.01115$ |
$4.47824$ |
$[1, 1, 0, 2605400, 208936000]$ |
\(y^2+xy=x^3+x^2+2605400x+208936000\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 340032.cv6 |
340032cv1 |
340032.cv |
340032cv |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{26} \cdot 3^{16} \cdot 7^{4} \cdot 11^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.255 |
2B |
$368$ |
$192$ |
$1$ |
$8.532924393$ |
$1$ |
|
$1$ |
$19660800$ |
$2.965595$ |
$125177609053596564863/73635189229502208$ |
$1.01115$ |
$4.61285$ |
$[0, -1, 0, 6669823, 849132033]$ |
\(y^2=x^3-x^2+6669823x+849132033\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.7, 16.96.0-16.z.1.5, 46.6.0.a.1, $\ldots$ |
$[(388137/13, 369438720/13)]$ |
| 340032.fu6 |
340032fu1 |
340032.fu |
340032fu |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{26} \cdot 3^{16} \cdot 7^{4} \cdot 11^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.240 |
2B |
$368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$19660800$ |
$2.965595$ |
$125177609053596564863/73635189229502208$ |
$1.01115$ |
$4.61285$ |
$[0, 1, 0, 6669823, -849132033]$ |
\(y^2=x^3+x^2+6669823x-849132033\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.5, 16.96.0-16.z.1.6, 46.6.0.a.1, $\ldots$ |
$[]$ |
| 350658.dx6 |
350658dx1 |
350658.dx |
350658dx |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{22} \cdot 7^{4} \cdot 11^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$12144$ |
$192$ |
$1$ |
$14.37597801$ |
$1$ |
|
$1$ |
$98304000$ |
$3.674129$ |
$125177609053596564863/73635189229502208$ |
$1.01115$ |
$5.26767$ |
$[1, -1, 1, 113491201, 59727790631]$ |
\(y^2+xy+y=x^3-x^2+113491201x+59727790631\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 46.6.0.a.1, $\ldots$ |
$[(978070383/169, 31972965320938/169)]$ |
