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 |
14586.e1 |
14586h3 |
14586.e |
14586h |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{24} \cdot 3 \cdot 11 \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2244$ |
$96$ |
$1$ |
$5.592678213$ |
$1$ |
|
$1$ |
$456192$ |
$2.432064$ |
$3957101249824708884951625/772310238681366528$ |
$0.99739$ |
$5.90724$ |
$[1, 0, 1, -3295221, -2302254848]$ |
\(y^2+xy+y=x^3-3295221x-2302254848\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 66.48.0-66.b.1.3, 68.6.0.b.1, $\ldots$ |
$[(-207077/14, 327697/14)]$ |
43758.n1 |
43758t3 |
43758.n |
43758t |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{24} \cdot 3^{7} \cdot 11 \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2244$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$3649536$ |
$2.981373$ |
$3957101249824708884951625/772310238681366528$ |
$0.99739$ |
$5.91678$ |
$[1, -1, 1, -29656985, 62160880889]$ |
\(y^2+xy+y=x^3-x^2-29656985x+62160880889\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 66.48.0-66.b.1.4, 68.6.0.b.1, $\ldots$ |
$[]$ |
116688.h1 |
116688m3 |
116688.h |
116688m |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{36} \cdot 3 \cdot 11 \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$10948608$ |
$3.125214$ |
$3957101249824708884951625/772310238681366528$ |
$0.99739$ |
$5.56732$ |
$[0, -1, 0, -52723528, 147344310256]$ |
\(y^2=x^3-x^2-52723528x+147344310256\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 66.24.0.b.1, $\ldots$ |
$[]$ |
160446.bo1 |
160446i3 |
160446.bo |
160446i |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( 2^{24} \cdot 3 \cdot 11^{7} \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$54743040$ |
$3.631012$ |
$3957101249824708884951625/772310238681366528$ |
$0.99739$ |
$5.92580$ |
$[1, 0, 0, -398721683, 3063902480673]$ |
\(y^2+xy=x^3-398721683x+3063902480673\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 33.8.0-3.a.1.1, 66.48.0-66.b.1.2, $\ldots$ |
$[]$ |
189618.br1 |
189618j3 |
189618.br |
189618j |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \) |
\( 2^{24} \cdot 3 \cdot 11 \cdot 13^{12} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$29172$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$76640256$ |
$3.714542$ |
$3957101249824708884951625/772310238681366528$ |
$0.99739$ |
$5.92682$ |
$[1, 0, 0, -556892268, -5057497008240]$ |
\(y^2+xy=x^3-556892268x-5057497008240\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 66.24.0.b.1, $\ldots$ |
$[]$ |
247962.f1 |
247962f3 |
247962.f |
247962f |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{24} \cdot 3 \cdot 11 \cdot 13^{6} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$131383296$ |
$3.848671$ |
$3957101249824708884951625/772310238681366528$ |
$0.99739$ |
$5.92840$ |
$[1, 1, 0, -952318730, -11310025748268]$ |
\(y^2+xy=x^3+x^2-952318730x-11310025748268\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 51.8.0-3.a.1.1, $\ldots$ |
$[]$ |
350064.br1 |
350064br3 |
350064.br |
350064br |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{36} \cdot 3^{7} \cdot 11 \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$6.656988129$ |
$1$ |
|
$3$ |
$87588864$ |
$3.674519$ |
$3957101249824708884951625/772310238681366528$ |
$0.99739$ |
$5.60455$ |
$[0, 0, 0, -474511755, -3977821865158]$ |
\(y^2=x^3-474511755x-3977821865158\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 66.24.0.b.1, $\ldots$ |
$[(-49823/2, 88281/2)]$ |
364650.ey1 |
364650ey3 |
364650.ey |
364650ey |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{24} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$11220$ |
$96$ |
$1$ |
$5.985242258$ |
$1$ |
|
$1$ |
$65691648$ |
$3.236786$ |
$3957101249824708884951625/772310238681366528$ |
$0.99739$ |
$5.17653$ |
$[1, 1, 1, -82380513, -287781855969]$ |
\(y^2+xy+y=x^3+x^2-82380513x-287781855969\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$ |
$[(426751/3, 272605144/3)]$ |
466752.ba1 |
466752ba3 |
466752.ba |
466752ba |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{42} \cdot 3 \cdot 11 \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$87588864$ |
$3.471786$ |
$3957101249824708884951625/772310238681366528$ |
$0.99739$ |
$5.29467$ |
$[0, -1, 0, -210894113, -1178543587935]$ |
\(y^2=x^3-x^2-210894113x-1178543587935\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 66.24.0.b.1, $\ldots$ |
$[]$ |
466752.dt1 |
466752dt3 |
466752.dt |
466752dt |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{42} \cdot 3 \cdot 11 \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$3.914331251$ |
$9$ |
$3$ |
$3$ |
$87588864$ |
$3.471786$ |
$3957101249824708884951625/772310238681366528$ |
$0.99739$ |
$5.29467$ |
$[0, 1, 0, -210894113, 1178543587935]$ |
\(y^2=x^3+x^2-210894113x+1178543587935\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 66.24.0.b.1, $\ldots$ |
$[(6837, 237276)]$ |
481338.ba1 |
481338ba3 |
481338.ba |
481338ba |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( 2^{24} \cdot 3^{7} \cdot 11^{7} \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$437944320$ |
$4.180321$ |
$3957101249824708884951625/772310238681366528$ |
$0.99739$ |
$5.93203$ |
$[1, -1, 0, -3588495147, -82725366978171]$ |
\(y^2+xy=x^3-x^2-3588495147x-82725366978171\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 33.8.0-3.a.1.2, 66.48.0-66.b.1.1, $\ldots$ |
$[]$ |