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.h1 |
14586g1 |
14586.h |
14586g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6400$ |
$0.128754$ |
$90458382169/25788048$ |
$0.96781$ |
$2.63127$ |
$[1, 0, 1, -94, -256]$ |
\(y^2+xy+y=x^3-94x-256\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[]$ |
43758.k1 |
43758q1 |
43758.k |
43758q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{7} \cdot 11 \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$0.677925182$ |
$1$ |
|
$7$ |
$51200$ |
$0.678060$ |
$90458382169/25788048$ |
$0.96781$ |
$2.97759$ |
$[1, -1, 1, -842, 6905]$ |
\(y^2+xy+y=x^3-x^2-842x+6905\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[(43, 199)]$ |
116688.n1 |
116688l1 |
116688.n |
116688l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$2.144527749$ |
$1$ |
|
$3$ |
$153600$ |
$0.821900$ |
$90458382169/25788048$ |
$0.96781$ |
$2.87522$ |
$[0, -1, 0, -1496, 16368]$ |
\(y^2=x^3-x^2-1496x+16368\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[(-38, 130)]$ |
160446.bw1 |
160446q1 |
160446.bw |
160446q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3 \cdot 11^{7} \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$2.125733020$ |
$1$ |
|
$1$ |
$768000$ |
$1.327702$ |
$90458382169/25788048$ |
$0.96781$ |
$3.30523$ |
$[1, 0, 0, -11316, 329088]$ |
\(y^2+xy=x^3-11316x+329088\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[(838/3, 6608/3)]$ |
189618.bj1 |
189618b1 |
189618.bj |
189618b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1075200$ |
$1.411228$ |
$90458382169/25788048$ |
$0.96781$ |
$3.34227$ |
$[1, 0, 0, -15805, -546079]$ |
\(y^2+xy=x^3-15805x-546079\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[]$ |
247962.a1 |
247962a1 |
247962.a |
247962a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1.543765720$ |
$1$ |
|
$7$ |
$1843200$ |
$1.545361$ |
$90458382169/25788048$ |
$0.96781$ |
$3.39967$ |
$[1, 1, 0, -27027, -1229475]$ |
\(y^2+xy=x^3+x^2-27027x-1229475\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[(-118, 637)]$ |
350064.c1 |
350064c1 |
350064.c |
350064c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3^{7} \cdot 11 \cdot 13^{2} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1.563743452$ |
$1$ |
|
$19$ |
$1228800$ |
$1.371206$ |
$90458382169/25788048$ |
$0.96781$ |
$3.14413$ |
$[0, 0, 0, -13467, -428470]$ |
\(y^2=x^3-13467x-428470\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[(-41, 234), (-67, 416)]$ |
364650.ec1 |
364650ec1 |
364650.ec |
364650ec |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$512000$ |
$0.933473$ |
$90458382169/25788048$ |
$0.96781$ |
$2.72395$ |
$[1, 1, 1, -2338, -31969]$ |
\(y^2+xy+y=x^3+x^2-2338x-31969\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[]$ |
466752.b1 |
466752b1 |
466752.b |
466752b |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{22} \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1.560681296$ |
$1$ |
|
$5$ |
$1228800$ |
$1.168474$ |
$90458382169/25788048$ |
$0.96781$ |
$2.88847$ |
$[0, -1, 0, -5985, -124959]$ |
\(y^2=x^3-x^2-5985x-124959\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[(-40, 221)]$ |
466752.ci1 |
466752ci1 |
466752.ci |
466752ci |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{22} \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1228800$ |
$1.168474$ |
$90458382169/25788048$ |
$0.96781$ |
$2.88847$ |
$[0, 1, 0, -5985, 124959]$ |
\(y^2=x^3+x^2-5985x+124959\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[]$ |
481338.a1 |
481338a1 |
481338.a |
481338a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{7} \cdot 11^{7} \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1.953903598$ |
$1$ |
|
$7$ |
$6144000$ |
$1.877007$ |
$90458382169/25788048$ |
$0.96781$ |
$3.53149$ |
$[1, -1, 0, -101844, -8885376]$ |
\(y^2+xy=x^3-x^2-101844x-8885376\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[(388, 2952)]$ |