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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
14586.e4 |
14586h2 |
14586.e |
14586h |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{6} \cdot 11^{6} \cdot 13^{4} \cdot 17^{3} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2244$ |
$96$ |
$1$ |
$0.932113035$ |
$1$ |
|
$16$ |
$304128$ |
$2.229332$ |
$2773679829880629422375/2899504554614368272$ |
$[1, 0, 1, 292714, 54762104]$ |
\(y^2+xy+y=x^3+292714x+54762104\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 68.6.0.a.1, 132.48.0.?, $\ldots$ |
$[(-63, 6037)]$ |
43758.n4 |
43758t2 |
43758.n |
43758t |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{12} \cdot 11^{6} \cdot 13^{4} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2244$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2433024$ |
$2.778641$ |
$2773679829880629422375/2899504554614368272$ |
$[1, -1, 1, 2634430, -1478576815]$ |
\(y^2+xy+y=x^3-x^2+2634430x-1478576815\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 68.6.0.a.1, 132.48.0.?, $\ldots$ |
$[]$ |
116688.h4 |
116688m2 |
116688.h |
116688m |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{16} \cdot 3^{6} \cdot 11^{6} \cdot 13^{4} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$7299072$ |
$2.922482$ |
$2773679829880629422375/2899504554614368272$ |
$[0, -1, 0, 4683432, -3504774672]$ |
\(y^2=x^3-x^2+4683432x-3504774672\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 68.6.0.a.1, $\ldots$ |
$[]$ |
160446.bo4 |
160446i2 |
160446.bo |
160446i |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{6} \cdot 11^{12} \cdot 13^{4} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$36495360$ |
$3.428280$ |
$2773679829880629422375/2899504554614368272$ |
$[1, 0, 0, 35418452, -72852942304]$ |
\(y^2+xy=x^3+35418452x-72852942304\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 33.8.0-3.a.1.2, $\ldots$ |
$[]$ |
189618.br4 |
189618j2 |
189618.br |
189618j |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{6} \cdot 11^{6} \cdot 13^{10} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$29172$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$51093504$ |
$3.511806$ |
$2773679829880629422375/2899504554614368272$ |
$[1, 0, 0, 49468747, 120262874289]$ |
\(y^2+xy=x^3+49468747x+120262874289\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 68.6.0.a.1, $\ldots$ |
$[]$ |
247962.f4 |
247962f2 |
247962.f |
247962f |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 11^{6} \cdot 13^{4} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$87588864$ |
$3.645939$ |
$2773679829880629422375/2899504554614368272$ |
$[1, 1, 0, 84594485, 268961623693]$ |
\(y^2+xy=x^3+x^2+84594485x+268961623693\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 51.8.0-3.a.1.2, $\ldots$ |
$[]$ |
350064.br4 |
350064br2 |
350064.br |
350064br |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{16} \cdot 3^{12} \cdot 11^{6} \cdot 13^{4} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$4.437992086$ |
$1$ |
|
$3$ |
$58392576$ |
$3.471786$ |
$2773679829880629422375/2899504554614368272$ |
$[0, 0, 0, 42150885, 94586765258]$ |
\(y^2=x^3+42150885x+94586765258\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 68.6.0.a.1, $\ldots$ |
$[(20266, 3045042)]$ |
364650.ey4 |
364650ey2 |
364650.ey |
364650ey |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 11^{6} \cdot 13^{4} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$11220$ |
$96$ |
$1$ |
$3.990161505$ |
$1$ |
|
$2$ |
$43794432$ |
$3.034054$ |
$2773679829880629422375/2899504554614368272$ |
$[1, 1, 1, 7317862, 6845263031]$ |
\(y^2+xy+y=x^3+x^2+7317862x+6845263031\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$ |
$[(15855, 2019097)]$ |
466752.ba4 |
466752ba2 |
466752.ba |
466752ba |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{22} \cdot 3^{6} \cdot 11^{6} \cdot 13^{4} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$58392576$ |
$3.269054$ |
$2773679829880629422375/2899504554614368272$ |
$[0, -1, 0, 18733727, 28019463649]$ |
\(y^2=x^3-x^2+18733727x+28019463649\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 68.6.0.a.1, $\ldots$ |
$[]$ |
466752.dt4 |
466752dt2 |
466752.dt |
466752dt |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{22} \cdot 3^{6} \cdot 11^{6} \cdot 13^{4} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$2.609554167$ |
$1$ |
|
$5$ |
$58392576$ |
$3.269054$ |
$2773679829880629422375/2899504554614368272$ |
$[0, 1, 0, 18733727, -28019463649]$ |
\(y^2=x^3+x^2+18733727x-28019463649\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 68.6.0.a.1, $\ldots$ |
$[(7445, 723996)]$ |
481338.ba4 |
481338ba2 |
481338.ba |
481338ba |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{12} \cdot 11^{12} \cdot 13^{4} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$291962880$ |
$3.977589$ |
$2773679829880629422375/2899504554614368272$ |
$[1, -1, 0, 318766068, 1967029442208]$ |
\(y^2+xy=x^3-x^2+318766068x+1967029442208\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 33.8.0-3.a.1.1, $\ldots$ |
$[]$ |