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 |
16830.h2 |
16830k1 |
16830.h |
16830k |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{5} \cdot 3^{3} \cdot 5 \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$22440$ |
$16$ |
$0$ |
$2.067110660$ |
$1$ |
|
$6$ |
$14400$ |
$0.693681$ |
$1434104310933/1046272480$ |
$0.90839$ |
$3.21526$ |
$[1, -1, 0, 705, 3501]$ |
\(y^2+xy=x^3-x^2+705x+3501\) |
3.8.0-3.a.1.2, 22440.16.0.? |
$[(51, 387)]$ |
16830.cg2 |
16830bo2 |
16830.cg |
16830bo |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{5} \cdot 3^{9} \cdot 5 \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$22440$ |
$16$ |
$0$ |
$1.975929143$ |
$1$ |
|
$2$ |
$43200$ |
$1.242987$ |
$1434104310933/1046272480$ |
$0.90839$ |
$3.89265$ |
$[1, -1, 1, 6343, -100871]$ |
\(y^2+xy+y=x^3-x^2+6343x-100871\) |
3.8.0-3.a.1.1, 22440.16.0.? |
$[(19, 152)]$ |
84150.cf2 |
84150d2 |
84150.cf |
84150d |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{5} \cdot 3^{9} \cdot 5^{7} \cdot 11^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1036800$ |
$2.047707$ |
$1434104310933/1046272480$ |
$0.90839$ |
$4.19173$ |
$[1, -1, 0, 158583, -12450259]$ |
\(y^2+xy=x^3-x^2+158583x-12450259\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 4488.8.0.?, 22440.16.0.? |
$[]$ |
84150.fz2 |
84150ef1 |
84150.fz |
84150ef |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{5} \cdot 3^{3} \cdot 5^{7} \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$0.296330267$ |
$1$ |
|
$8$ |
$345600$ |
$1.498400$ |
$1434104310933/1046272480$ |
$0.90839$ |
$3.61047$ |
$[1, -1, 1, 17620, 455247]$ |
\(y^2+xy+y=x^3-x^2+17620x+455247\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 4488.8.0.?, 22440.16.0.? |
$[(89, 1605)]$ |
134640.br2 |
134640dz1 |
134640.br |
134640dz |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{17} \cdot 3^{3} \cdot 5 \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$0.690725951$ |
$1$ |
|
$4$ |
$345600$ |
$1.386827$ |
$1434104310933/1046272480$ |
$0.90839$ |
$3.35343$ |
$[0, 0, 0, 11277, -235342]$ |
\(y^2=x^3+11277x-235342\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 22440.16.0.? |
$[(41, 544)]$ |
134640.ev2 |
134640de2 |
134640.ev |
134640de |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{17} \cdot 3^{9} \cdot 5 \cdot 11^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1036800$ |
$1.936134$ |
$1434104310933/1046272480$ |
$0.90839$ |
$3.91155$ |
$[0, 0, 0, 101493, 6354234]$ |
\(y^2=x^3+101493x+6354234\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 22440.16.0.? |
$[]$ |
185130.co2 |
185130fe2 |
185130.co |
185130fe |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{5} \cdot 3^{9} \cdot 5 \cdot 11^{9} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5184000$ |
$2.441936$ |
$1434104310933/1046272480$ |
$0.90839$ |
$4.30928$ |
$[1, -1, 0, 767541, 131956325]$ |
\(y^2+xy=x^3-x^2+767541x+131956325\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 2040.8.0.?, 22440.16.0.? |
$[]$ |
185130.dy2 |
185130cn1 |
185130.dy |
185130cn |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{5} \cdot 3^{3} \cdot 5 \cdot 11^{9} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$3.217703218$ |
$1$ |
|
$2$ |
$1728000$ |
$1.892630$ |
$1434104310933/1046272480$ |
$0.90839$ |
$3.76581$ |
$[1, -1, 1, 85282, -4915699]$ |
\(y^2+xy+y=x^3-x^2+85282x-4915699\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 2040.8.0.?, 22440.16.0.? |
$[(663, 18181)]$ |
286110.cv2 |
286110cv1 |
286110.cv |
286110cv |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{5} \cdot 3^{3} \cdot 5 \cdot 11^{3} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4147200$ |
$2.110287$ |
$1434104310933/1046272480$ |
$0.90839$ |
$3.84322$ |
$[1, -1, 0, 203691, 18015253]$ |
\(y^2+xy=x^3-x^2+203691x+18015253\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 1320.8.0.?, 22440.16.0.? |
$[]$ |
286110.eu2 |
286110eu2 |
286110.eu |
286110eu |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{5} \cdot 3^{9} \cdot 5 \cdot 11^{3} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$1.023276700$ |
$1$ |
|
$4$ |
$12441600$ |
$2.659595$ |
$1434104310933/1046272480$ |
$0.90839$ |
$4.36786$ |
$[1, -1, 1, 1833217, -488245049]$ |
\(y^2+xy+y=x^3-x^2+1833217x-488245049\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 1320.8.0.?, 22440.16.0.? |
$[(3991, 263306)]$ |