| 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 |
| 5610.n1 |
5610m3 |
5610.n |
5610m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{12} \cdot 5 \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$0.777637203$ |
$1$ |
|
$6$ |
$9216$ |
$0.891622$ |
$110211585818155849/993794670$ |
$0.94938$ |
$4.54585$ |
$[1, 0, 1, -9989, 383402]$ |
\(y^2+xy+y=x^3-9989x+383402\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(60, 1)]$ |
| 16830.ci1 |
16830co3 |
16830.ci |
16830co |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{18} \cdot 5 \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$22440$ |
$48$ |
$0$ |
$7.166300742$ |
$4$ |
$2$ |
$0$ |
$73728$ |
$1.440928$ |
$110211585818155849/993794670$ |
$0.94938$ |
$4.71002$ |
$[1, -1, 1, -89897, -10351861]$ |
\(y^2+xy+y=x^3-x^2-89897x-10351861\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 2244.12.0.?, $\ldots$ |
$[(-11039/8, 45461/8)]$ |
| 28050.ck1 |
28050ch4 |
28050.ck |
28050ch |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{12} \cdot 5^{7} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$221184$ |
$1.696341$ |
$110211585818155849/993794670$ |
$0.94938$ |
$4.77436$ |
$[1, 1, 1, -249713, 47925281]$ |
\(y^2+xy+y=x^3+x^2-249713x+47925281\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 3740.12.0.?, $\ldots$ |
$[]$ |
| 44880.h1 |
44880ba4 |
44880.h |
44880ba |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{13} \cdot 3^{12} \cdot 5 \cdot 11 \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$16.05197833$ |
$1$ |
|
$7$ |
$221184$ |
$1.584768$ |
$110211585818155849/993794670$ |
$0.94938$ |
$4.43989$ |
$[0, -1, 0, -159816, -24537744]$ |
\(y^2=x^3-x^2-159816x-24537744\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(-230, 6), (553, 7476)]$ |
| 61710.cl1 |
61710cm4 |
61710.cl |
61710cm |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2 \cdot 3^{12} \cdot 5 \cdot 11^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$6.922899411$ |
$1$ |
|
$0$ |
$1105920$ |
$2.090569$ |
$110211585818155849/993794670$ |
$0.94938$ |
$4.86197$ |
$[1, 0, 0, -1208611, -511517005]$ |
\(y^2+xy=x^3-1208611x-511517005\) |
2.3.0.a.1, 4.6.0.c.1, 68.12.0-4.c.1.1, 120.12.0.?, 264.12.0.?, $\ldots$ |
$[(67151/2, 17295865/2)]$ |
| 84150.bm1 |
84150ba4 |
84150.bm |
84150ba |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{18} \cdot 5^{7} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1769472$ |
$2.245647$ |
$110211585818155849/993794670$ |
$0.94938$ |
$4.89310$ |
$[1, -1, 0, -2247417, -1296230009]$ |
\(y^2+xy=x^3-x^2-2247417x-1296230009\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[]$ |
| 95370.q1 |
95370n4 |
95370.q |
95370n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2 \cdot 3^{12} \cdot 5 \cdot 11 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2654208$ |
$2.308228$ |
$110211585818155849/993794670$ |
$0.94938$ |
$4.90518$ |
$[1, 1, 0, -2886682, 1886541934]$ |
\(y^2+xy=x^3+x^2-2886682x+1886541934\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 120.12.0.?, 408.12.0.?, $\ldots$ |
$[]$ |
| 134640.ek1 |
134640q3 |
134640.ek |
134640q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{13} \cdot 3^{18} \cdot 5 \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1769472$ |
$2.134075$ |
$110211585818155849/993794670$ |
$0.94938$ |
$4.58501$ |
$[0, 0, 0, -1438347, 663957434]$ |
\(y^2=x^3-1438347x+663957434\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 2244.12.0.?, $\ldots$ |
$[]$ |
| 179520.de1 |
179520hf3 |
179520.de |
179520hf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{19} \cdot 3^{12} \cdot 5 \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1769472$ |
$1.931343$ |
$110211585818155849/993794670$ |
$0.94938$ |
$4.27489$ |
$[0, -1, 0, -639265, 196941217]$ |
\(y^2=x^3-x^2-639265x+196941217\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[]$ |
| 179520.hi1 |
179520j4 |
179520.hi |
179520j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{19} \cdot 3^{12} \cdot 5 \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$5.495410652$ |
$1$ |
|
$3$ |
$1769472$ |
$1.931343$ |
$110211585818155849/993794670$ |
$0.94938$ |
$4.27489$ |
$[0, 1, 0, -639265, -196941217]$ |
\(y^2=x^3+x^2-639265x-196941217\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[(1058, 17667)]$ |
| 185130.ci1 |
185130dh3 |
185130.ci |
185130dh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2 \cdot 3^{18} \cdot 5 \cdot 11^{7} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$22.47083523$ |
$1$ |
|
$4$ |
$8847360$ |
$2.639877$ |
$110211585818155849/993794670$ |
$0.94938$ |
$4.96505$ |
$[1, -1, 0, -10877499, 13810959135]$ |
\(y^2+xy=x^3-x^2-10877499x+13810959135\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 204.12.0.?, $\ldots$ |
$[(1939, 1632), (7735/2, 9855/2)]$ |
| 224400.gq1 |
224400cg4 |
224400.gq |
224400cg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{13} \cdot 3^{12} \cdot 5^{7} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$5308416$ |
$2.389488$ |
$110211585818155849/993794670$ |
$0.94938$ |
$4.64367$ |
$[0, 1, 0, -3995408, -3075208812]$ |
\(y^2=x^3+x^2-3995408x-3075208812\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 120.24.0.?, 3740.12.0.?, $\ldots$ |
$[]$ |
| 274890.bn1 |
274890bn4 |
274890.bn |
274890bn |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{12} \cdot 5 \cdot 7^{6} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$157080$ |
$48$ |
$0$ |
$4.106205529$ |
$4$ |
$2$ |
$2$ |
$3538944$ |
$1.864576$ |
$110211585818155849/993794670$ |
$0.94938$ |
$4.06548$ |
$[1, 1, 0, -489437, -131996409]$ |
\(y^2+xy=x^3+x^2-489437x-131996409\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 168.12.0.?, 280.12.0.?, $\ldots$ |
$[(1235, 33281)]$ |
| 286110.er1 |
286110er4 |
286110.er |
286110er |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2 \cdot 3^{18} \cdot 5 \cdot 11 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$21233664$ |
$2.857536$ |
$110211585818155849/993794670$ |
$0.94938$ |
$5.00091$ |
$[1, -1, 1, -25980143, -50962612359]$ |
\(y^2+xy+y=x^3-x^2-25980143x-50962612359\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 132.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
| 308550.bn1 |
308550bn4 |
308550.bn |
308550bn |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2 \cdot 3^{12} \cdot 5^{7} \cdot 11^{7} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$26542080$ |
$2.895290$ |
$110211585818155849/993794670$ |
$0.94938$ |
$5.00688$ |
$[1, 1, 0, -30215275, -63939625625]$ |
\(y^2+xy=x^3+x^2-30215275x-63939625625\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 340.12.0.?, $\ldots$ |
$[]$ |
| 476850.jh1 |
476850jh3 |
476850.jh |
476850jh |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( 2 \cdot 3^{12} \cdot 5^{7} \cdot 11 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$2.595101357$ |
$1$ |
|
$0$ |
$63700992$ |
$3.112949$ |
$110211585818155849/993794670$ |
$0.94938$ |
$5.03995$ |
$[1, 0, 0, -72167063, 235962075867]$ |
\(y^2+xy=x^3-72167063x+235962075867\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 136.12.0.?, 220.12.0.?, $\ldots$ |
$[(-17057/2, 5479157/2)]$ |
| 493680.be1 |
493680be3 |
493680.be |
493680be |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{13} \cdot 3^{12} \cdot 5 \cdot 11^{7} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$26542080$ |
$2.783718$ |
$110211585818155849/993794670$ |
$0.94938$ |
$4.72525$ |
$[0, -1, 0, -19337776, 32737088320]$ |
\(y^2=x^3-x^2-19337776x+32737088320\) |
2.3.0.a.1, 4.6.0.c.1, 68.12.0-4.c.1.2, 120.12.0.?, 264.12.0.?, $\ldots$ |
$[]$ |
