| 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 |
| 14883.a1 |
14883f1 |
14883.a |
14883f |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 41 \) |
\( 3 \cdot 11^{2} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$492$ |
$2$ |
$0$ |
$0.937826752$ |
$1$ |
|
$2$ |
$720$ |
$-0.490375$ |
$471625/123$ |
$0.73845$ |
$1.85884$ |
$[1, 1, 1, -8, -10]$ |
\(y^2+xy+y=x^3+x^2-8x-10\) |
492.2.0.? |
$[(-2, 2)]$ |
| 14883.b1 |
14883g1 |
14883.b |
14883g |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 41 \) |
\( - 3^{2} \cdot 11^{7} \cdot 41^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$902$ |
$2$ |
$0$ |
$0.473623440$ |
$1$ |
|
$2$ |
$86400$ |
$1.808086$ |
$-169112377/11469763899$ |
$1.03692$ |
$4.68414$ |
$[1, 1, 1, -1394, -6858862]$ |
\(y^2+xy+y=x^3+x^2-1394x-6858862\) |
902.2.0.? |
$[(963, 29284)]$ |
| 14883.c1 |
14883h1 |
14883.c |
14883h |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 41 \) |
\( - 3^{2} \cdot 11^{9} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$902$ |
$2$ |
$0$ |
$1.011667916$ |
$1$ |
|
$4$ |
$17280$ |
$1.026808$ |
$-4165509529/491139$ |
$0.93496$ |
$3.82213$ |
$[1, 0, 0, -4056, 108747]$ |
\(y^2+xy=x^3-4056x+108747\) |
902.2.0.? |
$[(21, 171)]$ |
| 14883.d1 |
14883i1 |
14883.d |
14883i |
$2$ |
$2$ |
\( 3 \cdot 11^{2} \cdot 41 \) |
\( 3 \cdot 11^{9} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5412$ |
$12$ |
$0$ |
$3.392252533$ |
$1$ |
|
$1$ |
$37440$ |
$1.227850$ |
$37159393753/6712233$ |
$0.86929$ |
$4.03059$ |
$[1, 0, 0, -8412, -246993]$ |
\(y^2+xy=x^3-8412x-246993\) |
2.3.0.a.1, 66.6.0.a.1, 164.6.0.?, 5412.12.0.? |
$[(8521/9, 98083/9)]$ |
| 14883.d2 |
14883i2 |
14883.d |
14883i |
$2$ |
$2$ |
\( 3 \cdot 11^{2} \cdot 41 \) |
\( - 3^{2} \cdot 11^{12} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5412$ |
$12$ |
$0$ |
$6.784505067$ |
$1$ |
|
$2$ |
$74880$ |
$1.574425$ |
$275005425527/653706009$ |
$0.91232$ |
$4.35693$ |
$[1, 0, 0, 16393, -1422750]$ |
\(y^2+xy=x^3+16393x-1422750\) |
2.3.0.a.1, 132.6.0.?, 164.6.0.?, 5412.12.0.? |
$[(16774, 2164168)]$ |
| 14883.e1 |
14883a1 |
14883.e |
14883a |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 41 \) |
\( - 3^{5} \cdot 11^{10} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$142560$ |
$1.900593$ |
$-48241278976/408483$ |
$0.96186$ |
$5.05757$ |
$[0, -1, 1, -224495, -41164663]$ |
\(y^2+y=x^3-x^2-224495x-41164663\) |
6.2.0.a.1 |
$[]$ |
| 14883.f1 |
14883d1 |
14883.f |
14883d |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 41 \) |
\( - 3^{5} \cdot 11^{4} \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.299978208$ |
$1$ |
|
$4$ |
$12960$ |
$0.701646$ |
$-48241278976/408483$ |
$0.96186$ |
$3.56012$ |
$[0, -1, 1, -1855, 31602]$ |
\(y^2+y=x^3-x^2-1855x+31602\) |
6.2.0.a.1 |
$[(48, 225)]$ |
| 14883.g1 |
14883c1 |
14883.g |
14883c |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 41 \) |
\( - 3 \cdot 11^{6} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$246$ |
$2$ |
$0$ |
$2.858336325$ |
$1$ |
|
$2$ |
$4760$ |
$0.282788$ |
$32768/123$ |
$0.85567$ |
$2.75676$ |
$[0, -1, 1, 81, 626]$ |
\(y^2+y=x^3-x^2+81x+626\) |
246.2.0.? |
$[(8, 41)]$ |
| 14883.h1 |
14883b1 |
14883.h |
14883b |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 41 \) |
\( 3 \cdot 11^{8} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$492$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7920$ |
$0.708573$ |
$471625/123$ |
$0.73845$ |
$3.35628$ |
$[1, 1, 0, -970, 8221]$ |
\(y^2+xy=x^3+x^2-970x+8221\) |
492.2.0.? |
$[]$ |
| 14883.i1 |
14883e1 |
14883.i |
14883e |
$2$ |
$2$ |
\( 3 \cdot 11^{2} \cdot 41 \) |
\( 3^{5} \cdot 11^{7} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5412$ |
$12$ |
$0$ |
$4.144133271$ |
$1$ |
|
$1$ |
$24000$ |
$1.166180$ |
$8205738913/4493313$ |
$0.89644$ |
$3.87339$ |
$[1, 1, 0, -5084, 30243]$ |
\(y^2+xy=x^3+x^2-5084x+30243\) |
2.3.0.a.1, 66.6.0.a.1, 164.6.0.?, 5412.12.0.? |
$[(-179/4, 19113/4)]$ |
| 14883.i2 |
14883e2 |
14883.i |
14883e |
$2$ |
$2$ |
\( 3 \cdot 11^{2} \cdot 41 \) |
\( - 3^{10} \cdot 11^{8} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5412$ |
$12$ |
$0$ |
$8.288266542$ |
$1$ |
|
$0$ |
$48000$ |
$1.512753$ |
$478762350767/292942089$ |
$0.93299$ |
$4.29662$ |
$[1, 1, 0, 19721, 263410]$ |
\(y^2+xy=x^3+x^2+19721x+263410\) |
2.3.0.a.1, 132.6.0.?, 164.6.0.?, 5412.12.0.? |
$[(110981/20, 40605061/20)]$ |
| 14883.j1 |
14883j1 |
14883.j |
14883j |
$2$ |
$5$ |
\( 3 \cdot 11^{2} \cdot 41 \) |
\( - 3^{5} \cdot 11^{6} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$13530$ |
$48$ |
$1$ |
$4.788133229$ |
$1$ |
|
$0$ |
$27000$ |
$0.712204$ |
$-122023936/9963$ |
$0.99771$ |
$3.44912$ |
$[0, 1, 1, -1250, -18595]$ |
\(y^2+y=x^3+x^2-1250x-18595\) |
5.12.0.a.1, 55.24.0-5.a.1.1, 246.2.0.?, 1230.24.1.?, 13530.48.1.? |
$[(205/2, 1865/2)]$ |
| 14883.j2 |
14883j2 |
14883.j |
14883j |
$2$ |
$5$ |
\( 3 \cdot 11^{2} \cdot 41 \) |
\( - 3 \cdot 11^{6} \cdot 41^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$13530$ |
$48$ |
$1$ |
$23.94066614$ |
$1$ |
|
$0$ |
$135000$ |
$1.516924$ |
$841232384/347568603$ |
$1.09016$ |
$4.32007$ |
$[0, 1, 1, 2380, 1193825]$ |
\(y^2+y=x^3+x^2+2380x+1193825\) |
5.12.0.a.2, 55.24.0-5.a.2.1, 246.2.0.?, 1230.24.1.?, 13530.48.1.? |
$[(-5353601067/12154, 1848682149700333/12154)]$ |
