| 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.bc5 |
5610bb4 |
5610.bc |
5610bb |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{2} \cdot 3 \cdot 5^{16} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.29 |
2B |
$8976$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$2$ |
$24576$ |
$1.468594$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$4.73931$ |
$[1, 1, 1, 3830, 887195]$ |
\(y^2+xy+y=x^3+x^2+3830x+887195\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.h.1.2, 136.48.0.?, $\ldots$ |
$[]$ |
| 16830.l5 |
16830t4 |
16830.l |
16830t |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{16} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$8976$ |
$192$ |
$1$ |
$6.228404472$ |
$1$ |
|
$2$ |
$196608$ |
$2.017899$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$4.88164$ |
$[1, -1, 0, 34470, -23919800]$ |
\(y^2+xy=x^3-x^2+34470x-23919800\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.h.1, $\ldots$ |
$[(291, 3124)]$ |
| 28050.bg5 |
28050y3 |
28050.bg |
28050y |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{2} \cdot 3 \cdot 5^{22} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$44880$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$589824$ |
$2.273312$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$4.93742$ |
$[1, 0, 1, 95749, 110707898]$ |
\(y^2+xy+y=x^3+95749x+110707898\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 44880.cu5 |
44880cy3 |
44880.cu |
44880cy |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{14} \cdot 3 \cdot 5^{16} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.46 |
2B |
$8976$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$589824$ |
$2.161743$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$4.59579$ |
$[0, 1, 0, 61280, -56657932]$ |
\(y^2=x^3+x^2+61280x-56657932\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.h.1.6, 136.48.0.?, $\ldots$ |
$[]$ |
| 61710.m5 |
61710o3 |
61710.m |
61710o |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{2} \cdot 3 \cdot 5^{16} \cdot 11^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$8976$ |
$192$ |
$1$ |
$2.576804270$ |
$1$ |
|
$4$ |
$2949120$ |
$2.667542$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$5.01338$ |
$[1, 1, 0, 463428, -1178539644]$ |
\(y^2+xy=x^3+x^2+463428x-1178539644\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 24.24.0-8.n.1.3, $\ldots$ |
$[(1667, 64204)]$ |
| 84150.fo5 |
84150fu3 |
84150.fo |
84150fu |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{22} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$44880$ |
$192$ |
$1$ |
$9.416109200$ |
$4$ |
$2$ |
$0$ |
$4718592$ |
$2.822620$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$5.04036$ |
$[1, -1, 1, 861745, -2989113253]$ |
\(y^2+xy+y=x^3-x^2+861745x-2989113253\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(33195/2, 6036473/2)]$ |
| 95370.dc5 |
95370db3 |
95370.dc |
95370db |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{16} \cdot 11 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.112 |
2B |
$8976$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$7077888$ |
$2.885201$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$5.05084$ |
$[1, 0, 0, 1106864, 4351041860]$ |
\(y^2+xy=x^3+1106864x+4351041860\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 16.48.0-16.h.1.9, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 134640.be5 |
134640cd3 |
134640.be |
134640cd |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{16} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$8976$ |
$192$ |
$1$ |
$6.645410601$ |
$4$ |
$2$ |
$3$ |
$4718592$ |
$2.711048$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$4.72641$ |
$[0, 0, 0, 551517, 1530315682]$ |
\(y^2=x^3+551517x+1530315682\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.h.1, $\ldots$ |
$[(3767, 238878)]$ |
| 179520.v5 |
179520dx4 |
179520.v |
179520dx |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{20} \cdot 3 \cdot 5^{16} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.183 |
2B |
$8976$ |
$192$ |
$1$ |
$11.31862864$ |
$4$ |
$2$ |
$1$ |
$4718592$ |
$2.508316$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$4.41293$ |
$[0, -1, 0, 245119, -453508575]$ |
\(y^2=x^3-x^2+245119x-453508575\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 16.48.0-16.h.1.10, 136.48.0.?, $\ldots$ |
$[(140071/7, 52690576/7)]$ |
| 179520.fi5 |
179520ga3 |
179520.fi |
179520ga |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{20} \cdot 3 \cdot 5^{16} \cdot 11 \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.195 |
2B |
$8976$ |
$192$ |
$1$ |
$51.69692032$ |
$1$ |
|
$3$ |
$4718592$ |
$2.508316$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$4.41293$ |
$[0, 1, 0, 245119, 453508575]$ |
\(y^2=x^3+x^2+245119x+453508575\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.h.1.14, 136.48.0.?, $\ldots$ |
$[(4521, 306576), (-2211/2, 97797/2)]$ |
| 185130.dp5 |
185130bf3 |
185130.dp |
185130bf |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{16} \cdot 11^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.172 |
2B |
$8976$ |
$192$ |
$1$ |
$7.948416180$ |
$1$ |
|
$0$ |
$23592960$ |
$3.216846$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$5.10274$ |
$[1, -1, 1, 4170847, 31824741237]$ |
\(y^2+xy+y=x^3-x^2+4170847x+31824741237\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 16.48.0-16.h.1.4, 68.12.0-4.c.1.1, $\ldots$ |
$[(29951/5, 24464586/5)]$ |
| 224400.co5 |
224400fd4 |
224400.co |
224400fd |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{14} \cdot 3 \cdot 5^{22} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$44880$ |
$192$ |
$1$ |
$9.436992360$ |
$4$ |
$2$ |
$1$ |
$14155776$ |
$2.966461$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$4.77921$ |
$[0, -1, 0, 1531992, -7085305488]$ |
\(y^2=x^3-x^2+1531992x-7085305488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(6677/2, 87773/2)]$ |
| 274890.ew5 |
274890ew4 |
274890.ew |
274890ew |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{2} \cdot 3 \cdot 5^{16} \cdot 7^{6} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$62832$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$9437184$ |
$2.441547$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$4.19883$ |
$[1, 0, 0, 187669, -303744939]$ |
\(y^2+xy=x^3+187669x-303744939\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 286110.co5 |
286110co4 |
286110.co |
286110co |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{16} \cdot 11 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$8976$ |
$192$ |
$1$ |
$6.307905697$ |
$1$ |
|
$0$ |
$56623104$ |
$3.434505$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$5.13383$ |
$[1, -1, 0, 9961776, -117478130220]$ |
\(y^2+xy=x^3-x^2+9961776x-117478130220\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 24.24.0-8.n.1.7, $\ldots$ |
$[(126529/3, 44998969/3)]$ |
| 308550.jf5 |
308550jf4 |
308550.jf |
308550jf |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( - 2^{2} \cdot 3 \cdot 5^{22} \cdot 11^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$44880$ |
$192$ |
$1$ |
$32.14026742$ |
$4$ |
$2$ |
$0$ |
$70778880$ |
$3.472260$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$5.13901$ |
$[1, 0, 0, 11585687, -147340626883]$ |
\(y^2+xy=x^3+11585687x-147340626883\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 120.24.0.?, $\ldots$ |
$[(695670201751879/284710, 17540879505428204799547/284710)]$ |
| 476850.br5 |
476850br3 |
476850.br |
476850br |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{22} \cdot 11 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$44880$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$169869312$ |
$3.689919$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$5.16767$ |
$[1, 1, 0, 27671600, 543880232500]$ |
\(y^2+xy=x^3+x^2+27671600x+543880232500\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 40.24.0-8.n.1.7, $\ldots$ |
$[]$ |
| 493680.go5 |
493680go3 |
493680.go |
493680go |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3 \cdot 5^{16} \cdot 11^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$8976$ |
$192$ |
$1$ |
$5.294062494$ |
$1$ |
|
$3$ |
$70778880$ |
$3.360687$ |
$6213165856218719/342407226562500$ |
$0.99301$ |
$4.85264$ |
$[0, 1, 0, 7414840, 75441366900]$ |
\(y^2=x^3+x^2+7414840x+75441366900\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 24.24.0-8.n.1.7, $\ldots$ |
$[(46980, 10203750)]$ |
