| 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 |
| 11424.d3 |
11424n1 |
11424.d |
11424n |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$2.955819612$ |
$1$ |
|
$7$ |
$36864$ |
$1.547993$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.59328$ |
$[0, -1, 0, -34014, -2172456]$ |
\(y^2=x^3-x^2-34014x-2172456\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.1, 28.24.0-28.a.1.2, 168.48.0.? |
$[(260, 2548)]$ |
| 11424.m3 |
11424s1 |
11424.m |
11424s |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$3.248454887$ |
$1$ |
|
$7$ |
$36864$ |
$1.547993$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.59328$ |
$[0, 1, 0, -34014, 2172456]$ |
\(y^2=x^3+x^2-34014x+2172456\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.4, 28.24.0-28.a.1.1, 168.48.0.? |
$[(150, 684)]$ |
| 22848.z2 |
22848bt2 |
22848.z |
22848bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.894567$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.69043$ |
$[0, -1, 0, -136057, 17515705]$ |
\(y^2=x^3-x^2-136057x+17515705\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 28.12.0.a.1, $\ldots$ |
$[]$ |
| 22848.cu2 |
22848cs2 |
22848.cu |
22848cs |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.894567$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.69043$ |
$[0, 1, 0, -136057, -17515705]$ |
\(y^2=x^3+x^2-136057x-17515705\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.2, 28.12.0.a.1, $\ldots$ |
$[]$ |
| 34272.bd3 |
34272m1 |
34272.bd |
34272m |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$7.693423714$ |
$1$ |
|
$5$ |
$294912$ |
$2.097298$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.74128$ |
$[0, 0, 0, -306129, -58962440]$ |
\(y^2=x^3-306129x-58962440\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 28.12.0.a.1, $\ldots$ |
$[(404603, 257361300)]$ |
| 34272.bh3 |
34272t1 |
34272.bh |
34272t |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 7^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$294912$ |
$2.097298$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.74128$ |
$[0, 0, 0, -306129, 58962440]$ |
\(y^2=x^3-306129x+58962440\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.2, 28.12.0.a.1, $\ldots$ |
$[]$ |
| 68544.bc2 |
68544eb2 |
68544.bc |
68544eb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3^{12} \cdot 7^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1179648$ |
$2.443874$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.81964$ |
$[0, 0, 0, -1224516, -471699520]$ |
\(y^2=x^3-1224516x-471699520\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.4, 28.24.0-28.a.1.3, 168.48.0.? |
$[]$ |
| 68544.bh2 |
68544ex2 |
68544.bh |
68544ex |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3^{12} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$0.936564204$ |
$1$ |
|
$13$ |
$1179648$ |
$2.443874$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.81964$ |
$[0, 0, 0, -1224516, 471699520]$ |
\(y^2=x^3-1224516x+471699520\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.1, 28.24.0-28.a.1.3, 168.48.0.? |
$[(878, 8568)]$ |
| 79968.bd3 |
79968bv1 |
79968.bd |
79968bv |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{12} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$1769472$ |
$2.520947$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.83575$ |
$[0, -1, 0, -1666702, -748485800]$ |
\(y^2=x^3-x^2-1666702x-748485800\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.6, 28.24.0-28.a.1.2, 168.48.0.? |
$[]$ |
| 79968.cl3 |
79968cv1 |
79968.cl |
79968cv |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{12} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$3.900617199$ |
$1$ |
|
$7$ |
$1769472$ |
$2.520947$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.83575$ |
$[0, 1, 0, -1666702, 748485800]$ |
\(y^2=x^3+x^2-1666702x+748485800\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.6, 28.24.0-28.a.1.1, 168.48.0.? |
$[(-775, 39690)]$ |
| 159936.bn2 |
159936df2 |
159936.bn |
159936df |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{12} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7077888$ |
$2.867523$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.90310$ |
$[0, -1, 0, -6666809, 5994553209]$ |
\(y^2=x^3-x^2-6666809x+5994553209\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.2, 24.24.0-24.a.1.8, 28.12.0.a.1, $\ldots$ |
$[]$ |
| 159936.gl2 |
159936l2 |
159936.gl |
159936l |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{12} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$3.219894283$ |
$1$ |
|
$7$ |
$7077888$ |
$2.867523$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.90310$ |
$[0, 1, 0, -6666809, -5994553209]$ |
\(y^2=x^3+x^2-6666809x-5994553209\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.2, 24.24.0-24.a.1.8, 28.12.0.a.1, $\ldots$ |
$[(8899, 799680)]$ |
| 194208.y3 |
194208bc1 |
194208.y |
194208bc |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{6} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2856$ |
$48$ |
$0$ |
$11.07888337$ |
$1$ |
|
$3$ |
$10616832$ |
$2.964600$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.92059$ |
$[0, -1, 0, -9830142, 10732257000]$ |
\(y^2=x^3-x^2-9830142x+10732257000\) |
2.6.0.a.1, 24.12.0.a.1, 28.12.0.a.1, 68.12.0-2.a.1.1, 168.24.0.?, $\ldots$ |
$[(1192700/23, 60757060/23)]$ |
| 194208.cf3 |
194208n1 |
194208.cf |
194208n |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{6} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2856$ |
$48$ |
$0$ |
$22.95692871$ |
$1$ |
|
$3$ |
$10616832$ |
$2.964600$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.92059$ |
$[0, 1, 0, -9830142, -10732257000]$ |
\(y^2=x^3+x^2-9830142x-10732257000\) |
2.6.0.a.1, 24.12.0.a.1, 28.12.0.a.1, 68.12.0-2.a.1.1, 168.24.0.?, $\ldots$ |
$[(57110269950/47, 13648072621315860/47)]$ |
| 239904.w3 |
239904w1 |
239904.w |
239904w |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 7^{12} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$168$ |
$48$ |
$0$ |
$9.546093213$ |
$1$ |
|
$3$ |
$14155776$ |
$3.070255$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.93900$ |
$[0, 0, 0, -15000321, 20224116920]$ |
\(y^2=x^3-15000321x+20224116920\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0-2.a.1.1, 24.24.0-24.a.1.5, 28.12.0.a.1, $\ldots$ |
$[(71857/14, 333528831/14)]$ |
| 239904.bc3 |
239904bc1 |
239904.bc |
239904bc |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 7^{12} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$168$ |
$48$ |
$0$ |
$19.50180071$ |
$1$ |
|
$3$ |
$14155776$ |
$3.070255$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.93900$ |
$[0, 0, 0, -15000321, -20224116920]$ |
\(y^2=x^3-15000321x-20224116920\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0-2.a.1.1, 24.24.0-24.a.1.5, 28.12.0.a.1, $\ldots$ |
$[(-5125144099/1543, 167993057521260/1543)]$ |
| 285600.db3 |
285600db1 |
285600.db |
285600db |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1.409438527$ |
$1$ |
|
$9$ |
$4718592$ |
$2.352711$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.18503$ |
$[0, -1, 0, -850358, 273257712]$ |
\(y^2=x^3-x^2-850358x+273257712\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.a.1, 28.12.0.a.1, 120.24.0.?, $\ldots$ |
$[(851, 12852)]$ |
| 285600.dk3 |
285600dk1 |
285600.dk |
285600dk |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1.868455384$ |
$1$ |
|
$9$ |
$4718592$ |
$2.352711$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.18503$ |
$[0, 1, 0, -850358, -273257712]$ |
\(y^2=x^3+x^2-850358x-273257712\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.a.1, 28.12.0.a.1, 120.24.0.?, $\ldots$ |
$[(-647, 2550)]$ |
| 388416.u2 |
388416u2 |
388416.u |
388416u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{6} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$42467328$ |
$3.311172$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.97873$ |
$[0, -1, 0, -39320569, -85818735431]$ |
\(y^2=x^3-x^2-39320569x-85818735431\) |
2.6.0.a.1, 24.12.0.a.1, 28.12.0.a.1, 136.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 388416.fn2 |
388416fn2 |
388416.fn |
388416fn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{6} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$42467328$ |
$3.311172$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.97873$ |
$[0, 1, 0, -39320569, 85818735431]$ |
\(y^2=x^3+x^2-39320569x+85818735431\) |
2.6.0.a.1, 24.12.0.a.1, 28.12.0.a.1, 136.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 479808.nm2 |
479808nm2 |
479808.nm |
479808nm |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{12} \cdot 7^{12} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$56623104$ |
$3.416828$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.99522$ |
$[0, 0, 0, -60001284, -161792935360]$ |
\(y^2=x^3-60001284x-161792935360\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 24.24.0-24.a.1.7, 28.24.0-28.a.1.4, 168.48.0.? |
$[]$ |
| 479808.oy2 |
479808oy2 |
479808.oy |
479808oy |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{12} \cdot 7^{12} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$3$ |
$56623104$ |
$3.416828$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.99522$ |
$[0, 0, 0, -60001284, 161792935360]$ |
\(y^2=x^3-60001284x+161792935360\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 24.24.0-24.a.1.7, 28.24.0-28.a.1.4, 168.48.0.? |
$[]$ |
