| 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 |
Manin constant |
| 27480.b1 |
27480a1 |
27480.b |
27480a |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 229 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13740$ |
$12$ |
$0$ |
$2.133354069$ |
$1$ |
|
$13$ |
$3968$ |
$-0.074290$ |
$2508888064/51525$ |
$0.78645$ |
$2.38873$ |
$[0, -1, 0, -71, -204]$ |
\(y^2=x^3-x^2-71x-204\) |
2.3.0.a.1, 60.6.0.c.1, 458.6.0.?, 13740.12.0.? |
$[(-5, 1), (16, 50)]$ |
$1$ |
| 54960.p1 |
54960h1 |
54960.p |
54960h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 229 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13740$ |
$12$ |
$0$ |
$2.036383935$ |
$1$ |
|
$3$ |
$7936$ |
$-0.074290$ |
$2508888064/51525$ |
$0.78645$ |
$2.23702$ |
$[0, 1, 0, -71, 204]$ |
\(y^2=x^3+x^2-71x+204\) |
2.3.0.a.1, 60.6.0.c.1, 458.6.0.?, 13740.12.0.? |
$[(-8, 18)]$ |
$1$ |
| 82440.p1 |
82440q1 |
82440.p |
82440q |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 229 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 229 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13740$ |
$12$ |
$0$ |
$1.261601506$ |
$1$ |
|
$5$ |
$31744$ |
$0.475016$ |
$2508888064/51525$ |
$0.78645$ |
$2.73921$ |
$[0, 0, 0, -642, 6149]$ |
\(y^2=x^3-642x+6149\) |
2.3.0.a.1, 60.6.0.c.1, 458.6.0.?, 13740.12.0.? |
$[(10, 27)]$ |
$1$ |
| 137400.l1 |
137400a1 |
137400.l |
137400a |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 229 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 229 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13740$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$95232$ |
$0.730429$ |
$2508888064/51525$ |
$0.78645$ |
$2.88000$ |
$[0, 1, 0, -1783, -29062]$ |
\(y^2=x^3+x^2-1783x-29062\) |
2.3.0.a.1, 60.6.0.c.1, 458.6.0.?, 13740.12.0.? |
$[ ]$ |
$1$ |
| 164880.x1 |
164880bc1 |
164880.x |
164880bc |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 229 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 229 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13740$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$63488$ |
$0.475016$ |
$2508888064/51525$ |
$0.78645$ |
$2.58116$ |
$[0, 0, 0, -642, -6149]$ |
\(y^2=x^3-642x-6149\) |
2.3.0.a.1, 60.6.0.c.1, 458.6.0.?, 13740.12.0.? |
$[ ]$ |
$1$ |
| 219840.q1 |
219840q1 |
219840.q |
219840q |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 229 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13740$ |
$12$ |
$0$ |
$1.676756005$ |
$1$ |
|
$5$ |
$63488$ |
$0.272284$ |
$2508888064/51525$ |
$0.78645$ |
$2.32301$ |
$[0, -1, 0, -285, 1917]$ |
\(y^2=x^3-x^2-285x+1917\) |
2.3.0.a.1, 60.6.0.c.1, 458.6.0.?, 13740.12.0.? |
$[(12, 9)]$ |
$1$ |
| 219840.cd1 |
219840bh1 |
219840.cd |
219840bh |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 229 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13740$ |
$12$ |
$0$ |
$5.299698968$ |
$1$ |
|
$1$ |
$63488$ |
$0.272284$ |
$2508888064/51525$ |
$0.78645$ |
$2.32301$ |
$[0, 1, 0, -285, -1917]$ |
\(y^2=x^3+x^2-285x-1917\) |
2.3.0.a.1, 60.6.0.c.1, 458.6.0.?, 13740.12.0.? |
$[(-274/5, 399/5)]$ |
$1$ |
| 274800.x1 |
274800x1 |
274800.x |
274800x |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 229 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 229 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13740$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$190464$ |
$0.730429$ |
$2508888064/51525$ |
$0.78645$ |
$2.72061$ |
$[0, -1, 0, -1783, 29062]$ |
\(y^2=x^3-x^2-1783x+29062\) |
2.3.0.a.1, 60.6.0.c.1, 458.6.0.?, 13740.12.0.? |
$[ ]$ |
$1$ |
| 412200.k1 |
412200k1 |
412200.k |
412200k |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 229 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 229 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13740$ |
$12$ |
$0$ |
$1.024680155$ |
$1$ |
|
$7$ |
$761856$ |
$1.279736$ |
$2508888064/51525$ |
$0.78645$ |
$3.14511$ |
$[0, 0, 0, -16050, 768625]$ |
\(y^2=x^3-16050x+768625\) |
2.3.0.a.1, 60.6.0.c.1, 458.6.0.?, 13740.12.0.? |
$[(20, 675)]$ |
$1$ |