| 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.m1 |
10626l4 |
10626.m |
10626l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{5} \cdot 3^{6} \cdot 7 \cdot 11 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$616$ |
$48$ |
$0$ |
$4.581048976$ |
$1$ |
|
$2$ |
$368640$ |
$2.561127$ |
$97413070452067229637409633/140666577176907936$ |
$1.01188$ |
$6.45460$ |
$[1, 1, 1, -9585862, 11419378211]$ |
\(y^2+xy+y=x^3+x^2-9585862x+11419378211\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.z.1.10, $\ldots$ |
$[(1795, -333)]$ |
| 31878.c1 |
31878g4 |
31878.c |
31878g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{5} \cdot 3^{12} \cdot 7 \cdot 11 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$7.168658354$ |
$1$ |
|
$0$ |
$2949120$ |
$3.110435$ |
$97413070452067229637409633/140666577176907936$ |
$1.01188$ |
$6.40644$ |
$[1, -1, 0, -86272758, -308409484460]$ |
\(y^2+xy=x^3-x^2-86272758x-308409484460\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 84.12.0.?, $\ldots$ |
$[(295499/5, 70316797/5)]$ |
| 74382.bm1 |
74382bv4 |
74382.bm |
74382bv |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( 2^{5} \cdot 3^{6} \cdot 7^{7} \cdot 11 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$616$ |
$48$ |
$0$ |
$2.865196791$ |
$4$ |
$2$ |
$4$ |
$17694720$ |
$3.534084$ |
$97413070452067229637409633/140666577176907936$ |
$1.01188$ |
$6.37574$ |
$[1, 0, 0, -469707239, -3918255848151]$ |
\(y^2+xy=x^3-469707239x-3918255848151\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 88.24.0.?, 616.48.0.? |
$[(-12512, 8461)]$ |
| 85008.cf1 |
85008ck4 |
85008.cf |
85008ck |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{17} \cdot 3^{6} \cdot 7 \cdot 11 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$616$ |
$48$ |
$0$ |
$4.707977618$ |
$1$ |
|
$3$ |
$8847360$ |
$3.254276$ |
$97413070452067229637409633/140666577176907936$ |
$1.01188$ |
$6.00491$ |
$[0, 1, 0, -153373792, -731146953100]$ |
\(y^2=x^3+x^2-153373792x-731146953100\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.2, 56.24.0-56.z.1.2, $\ldots$ |
$[(45743, 9379170)]$ |
| 116886.g1 |
116886f4 |
116886.g |
116886f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{5} \cdot 3^{6} \cdot 7 \cdot 11^{7} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$616$ |
$48$ |
$0$ |
$52.45173097$ |
$1$ |
|
$0$ |
$44236800$ |
$3.760075$ |
$97413070452067229637409633/140666577176907936$ |
$1.01188$ |
$6.36118$ |
$[1, 1, 0, -1159889304, -15204991845600]$ |
\(y^2+xy=x^3+x^2-1159889304x-15204991845600\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.z.1.14, 88.24.0.?, $\ldots$ |
$[(-813819213769346488773175/6432471419, 3726370588548122444019601060519010/6432471419)]$ |
| 223146.bw1 |
223146dz3 |
223146.bw |
223146dz |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( 2^{5} \cdot 3^{12} \cdot 7^{7} \cdot 11 \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$141557760$ |
$4.083389$ |
$97413070452067229637409633/140666577176907936$ |
$1.01188$ |
$6.34222$ |
$[1, -1, 0, -4227365151, 105792907900077]$ |
\(y^2+xy=x^3-x^2-4227365151x+105792907900077\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.z.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 244398.y1 |
244398y4 |
244398.y |
244398y |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23^{2} \) |
\( 2^{5} \cdot 3^{6} \cdot 7 \cdot 11 \cdot 23^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14168$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$194641920$ |
$4.128876$ |
$97413070452067229637409633/140666577176907936$ |
$1.01188$ |
$6.33971$ |
$[1, 1, 1, -5070921009, -138990283905489]$ |
\(y^2+xy+y=x^3+x^2-5070921009x-138990283905489\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 88.12.0.?, 184.12.0.?, $\ldots$ |
$[]$ |
| 255024.bq1 |
255024bq3 |
255024.bq |
255024bq |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{17} \cdot 3^{12} \cdot 7 \cdot 11 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$17.34514539$ |
$1$ |
|
$1$ |
$70778880$ |
$3.803581$ |
$97413070452067229637409633/140666577176907936$ |
$1.01188$ |
$6.00448$ |
$[0, 0, 0, -1380364131, 19739587369570]$ |
\(y^2=x^3-1380364131x+19739587369570\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 84.12.0.?, $\ldots$ |
$[(209575871/23, 3021087166110/23)]$ |
| 265650.dv1 |
265650dv3 |
265650.dv |
265650dv |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{5} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 11 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$1.492088454$ |
$1$ |
|
$6$ |
$47185920$ |
$3.365849$ |
$97413070452067229637409633/140666577176907936$ |
$1.01188$ |
$5.56429$ |
$[1, 0, 1, -239646551, 1427901569498]$ |
\(y^2+xy+y=x^3-239646551x+1427901569498\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.z.1, 88.12.0.?, $\ldots$ |
$[(9078, 18472)]$ |
| 340032.w1 |
340032w4 |
340032.w |
340032w |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{23} \cdot 3^{6} \cdot 7 \cdot 11 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$616$ |
$48$ |
$0$ |
$25.80928641$ |
$1$ |
|
$1$ |
$70778880$ |
$3.600849$ |
$97413070452067229637409633/140666577176907936$ |
$1.01188$ |
$5.67785$ |
$[0, -1, 0, -613495169, -5848562129631]$ |
\(y^2=x^3-x^2-613495169x-5848562129631\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 44.12.0-4.c.1.2, 56.24.0-56.z.1.9, $\ldots$ |
$[(270719570983/1921, 131471984906218120/1921)]$ |
| 340032.dv1 |
340032dv3 |
340032.dv |
340032dv |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{23} \cdot 3^{6} \cdot 7 \cdot 11 \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$70778880$ |
$3.600849$ |
$97413070452067229637409633/140666577176907936$ |
$1.01188$ |
$5.67785$ |
$[0, 1, 0, -613495169, 5848562129631]$ |
\(y^2=x^3+x^2-613495169x+5848562129631\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 44.12.0-4.c.1.1, 56.24.0-56.z.1.1, $\ldots$ |
$[]$ |
| 350658.cx1 |
350658cx3 |
350658.cx |
350658cx |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{5} \cdot 3^{12} \cdot 7 \cdot 11^{7} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$353894400$ |
$4.309380$ |
$97413070452067229637409633/140666577176907936$ |
$1.01188$ |
$6.33011$ |
$[1, -1, 1, -10439003741, 410524340827461]$ |
\(y^2+xy+y=x^3-x^2-10439003741x+410524340827461\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0.z.1, 88.12.0.?, $\ldots$ |
$[]$ |
