| 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.h1 |
5610i3 |
5610.h |
5610i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2 \cdot 3 \cdot 5^{4} \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$0.719426129$ |
$1$ |
|
$4$ |
$73728$ |
$2.092129$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$5.80759$ |
$[1, 1, 0, -376907, 86267439]$ |
\(y^2+xy=x^3+x^2-376907x+86267439\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 136.12.0.?, $\ldots$ |
$[(433, 1901)]$ |
| 16830.bq1 |
16830ca3 |
16830.bq |
16830ca |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{7} \cdot 5^{4} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$589824$ |
$2.641434$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$5.82931$ |
$[1, -1, 1, -3392168, -2332613019]$ |
\(y^2+xy+y=x^3-x^2-3392168x-2332613019\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 264.24.0.?, 408.24.0.?, 1496.24.0.?, $\ldots$ |
$[]$ |
| 28050.di1 |
28050dl4 |
28050.di |
28050dl |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2 \cdot 3 \cdot 5^{10} \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$12.35481865$ |
$1$ |
|
$0$ |
$1769472$ |
$2.896847$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$5.83782$ |
$[1, 0, 0, -9422688, 10802275242]$ |
\(y^2+xy=x^3-9422688x+10802275242\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 264.12.0.?, 408.12.0.?, $\ldots$ |
$[(68617637/164, 250426538791/164)]$ |
| 44880.cq1 |
44880cr4 |
44880.cq |
44880cr |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{13} \cdot 3 \cdot 5^{4} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1769472$ |
$2.785278$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$5.45669$ |
$[0, 1, 0, -6030520, -5533177132]$ |
\(y^2=x^3+x^2-6030520x-5533177132\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
| 61710.by1 |
61710bz4 |
61710.by |
61710bz |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2 \cdot 3 \cdot 5^{4} \cdot 11^{18} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$4488$ |
$48$ |
$0$ |
$9.149262865$ |
$4$ |
$2$ |
$0$ |
$8847360$ |
$3.291077$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$5.84942$ |
$[1, 1, 1, -45605810, -115049990263]$ |
\(y^2+xy+y=x^3+x^2-45605810x-115049990263\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 264.24.0.?, $\ldots$ |
$[(31543/2, 973003/2)]$ |
| 84150.bi1 |
84150bb4 |
84150.bi |
84150bb |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{7} \cdot 5^{10} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$14155776$ |
$3.446156$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$5.85353$ |
$[1, -1, 0, -84804192, -291661431534]$ |
\(y^2+xy=x^3-x^2-84804192x-291661431534\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 264.12.0.?, 408.12.0.?, $\ldots$ |
$[]$ |
| 95370.bc1 |
95370x4 |
95370.bc |
95370x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2 \cdot 3 \cdot 5^{4} \cdot 11^{12} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$21233664$ |
$3.508736$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$5.85513$ |
$[1, 0, 1, -108926274, 424594411366]$ |
\(y^2+xy+y=x^3-108926274x+424594411366\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 204.12.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
| 134640.bm1 |
134640ca3 |
134640.bm |
134640ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{13} \cdot 3^{7} \cdot 5^{4} \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$4488$ |
$48$ |
$0$ |
$6.364157834$ |
$1$ |
|
$5$ |
$14155776$ |
$3.334583$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$5.50722$ |
$[0, 0, 0, -54274683, 149341507882]$ |
\(y^2=x^3-54274683x+149341507882\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 264.24.0.?, 408.24.0.?, 1496.24.0.?, $\ldots$ |
$[(188879, 82025658)]$ |
| 179520.bc1 |
179520dt4 |
179520.bc |
179520dt |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{19} \cdot 3 \cdot 5^{4} \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$7.174964236$ |
$1$ |
|
$3$ |
$14155776$ |
$3.131851$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$5.17518$ |
$[0, -1, 0, -24122081, -44241294975]$ |
\(y^2=x^3-x^2-24122081x-44241294975\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 68.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[(-2901, 36252)]$ |
| 179520.fd1 |
179520gf3 |
179520.fd |
179520gf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{19} \cdot 3 \cdot 5^{4} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14155776$ |
$3.131851$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$5.17518$ |
$[0, 1, 0, -24122081, 44241294975]$ |
\(y^2=x^3+x^2-24122081x+44241294975\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 68.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[]$ |
| 185130.o1 |
185130ef3 |
185130.o |
185130ef |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2 \cdot 3^{7} \cdot 5^{4} \cdot 11^{18} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$16.16020178$ |
$1$ |
|
$0$ |
$70778880$ |
$3.840382$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$5.86306$ |
$[1, -1, 0, -410452290, 3105939284806]$ |
\(y^2+xy=x^3-x^2-410452290x+3105939284806\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0-4.c.1.1, 136.12.0.?, $\ldots$ |
$[(10384689/5, 33399862028/5)]$ |
| 224400.cf1 |
224400fi4 |
224400.cf |
224400fi |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{13} \cdot 3 \cdot 5^{10} \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$12.84939804$ |
$4$ |
$2$ |
$3$ |
$42467328$ |
$3.589996$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$5.52765$ |
$[0, -1, 0, -150763008, -691345615488]$ |
\(y^2=x^3-x^2-150763008x-691345615488\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 264.12.0.?, 408.12.0.?, $\ldots$ |
$[(754066, 654720318)]$ |
| 274890.cb1 |
274890cb4 |
274890.cb |
274890cb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2 \cdot 3 \cdot 5^{4} \cdot 7^{6} \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31416$ |
$48$ |
$0$ |
$3.529115457$ |
$1$ |
|
$2$ |
$28311552$ |
$3.065083$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$4.93514$ |
$[1, 0, 1, -18468469, -29645136958]$ |
\(y^2+xy+y=x^3-18468469x-29645136958\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 264.12.0.?, 408.12.0.?, $\ldots$ |
$[(10518, 964132)]$ |
| 286110.gf1 |
286110gf4 |
286110.gf |
286110gf |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2 \cdot 3^{7} \cdot 5^{4} \cdot 11^{12} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$5.801765606$ |
$1$ |
|
$0$ |
$169869312$ |
$4.058044$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$5.86780$ |
$[1, -1, 1, -980336462, -11464049106889]$ |
\(y^2+xy+y=x^3-x^2-980336462x-11464049106889\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 68.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[(-319179/4, 25712551/4)]$ |
| 308550.ee1 |
308550ee4 |
308550.ee |
308550ee |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2 \cdot 3 \cdot 5^{10} \cdot 11^{18} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$36.26521833$ |
$4$ |
$2$ |
$0$ |
$212336640$ |
$4.095795$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$5.86859$ |
$[1, 0, 1, -1140145251, -14378968492352]$ |
\(y^2+xy+y=x^3-1140145251x-14378968492352\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 264.12.0.?, 408.12.0.?, $\ldots$ |
$[(27199218538050112/215879, 4475134421169663176553769/215879)]$ |
| 476850.gy1 |
476850gy3 |
476850.gy |
476850gy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( 2 \cdot 3 \cdot 5^{10} \cdot 11^{12} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$64$ |
$2$ |
$0$ |
$509607936$ |
$4.313454$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$5.87297$ |
$[1, 1, 1, -2723156838, 53074301420781]$ |
\(y^2+xy+y=x^3+x^2-2723156838x+53074301420781\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 264.12.0.?, 408.12.0.?, $\ldots$ |
$[]$ |
| 493680.gu1 |
493680gu3 |
493680.gu |
493680gu |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{13} \cdot 3 \cdot 5^{4} \cdot 11^{18} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$212336640$ |
$3.984222$ |
$5921450764096952391481/200074809015963750$ |
$0.99510$ |
$5.55606$ |
$[0, 1, 0, -729692960, 7361739990900]$ |
\(y^2=x^3+x^2-729692960x+7361739990900\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
