| 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 |
| 19320.o2 |
19320i2 |
19320.o |
19320i |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$0.536663411$ |
$1$ |
|
$7$ |
$16384$ |
$0.614943$ |
$-5756278756/10498005$ |
$0.84099$ |
$3.12380$ |
$[0, 1, 0, -376, 5600]$ |
\(y^2=x^3+x^2-376x+5600\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[(-4, 84)]$ |
| 38640.z2 |
38640h2 |
38640.z |
38640h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$0.614943$ |
$-5756278756/10498005$ |
$0.84099$ |
$2.91880$ |
$[0, -1, 0, -376, -5600]$ |
\(y^2=x^3-x^2-376x-5600\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[]$ |
| 57960.bk2 |
57960bv2 |
57960.bk |
57960bv |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$131072$ |
$1.164248$ |
$-5756278756/10498005$ |
$0.84099$ |
$3.41191$ |
$[0, 0, 0, -3387, -154586]$ |
\(y^2=x^3-3387x-154586\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[]$ |
| 96600.u2 |
96600bs2 |
96600.u |
96600bs |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1.273568625$ |
$1$ |
|
$7$ |
$393216$ |
$1.419661$ |
$-5756278756/10498005$ |
$0.84099$ |
$3.52709$ |
$[0, -1, 0, -9408, 718812]$ |
\(y^2=x^3-x^2-9408x+718812\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[(38, 644)]$ |
| 115920.dy2 |
115920ca2 |
115920.dy |
115920ca |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1.084754609$ |
$1$ |
|
$7$ |
$262144$ |
$1.164248$ |
$-5756278756/10498005$ |
$0.84099$ |
$3.20910$ |
$[0, 0, 0, -3387, 154586]$ |
\(y^2=x^3-3387x+154586\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[(-5, 414)]$ |
| 135240.u2 |
135240da2 |
135240.u |
135240da |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$786432$ |
$1.587896$ |
$-5756278756/10498005$ |
$0.84099$ |
$3.59752$ |
$[0, -1, 0, -18440, -1957668]$ |
\(y^2=x^3-x^2-18440x-1957668\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[]$ |
| 154560.cy2 |
154560hc2 |
154560.cy |
154560hc |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$2.316240549$ |
$1$ |
|
$5$ |
$262144$ |
$0.961515$ |
$-5756278756/10498005$ |
$0.84099$ |
$2.92822$ |
$[0, -1, 0, -1505, 46305]$ |
\(y^2=x^3-x^2-1505x+46305\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[(-13, 252)]$ |
| 154560.hm2 |
154560a2 |
154560.hm |
154560a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1.793601337$ |
$1$ |
|
$5$ |
$262144$ |
$0.961515$ |
$-5756278756/10498005$ |
$0.84099$ |
$2.92822$ |
$[0, 1, 0, -1505, -46305]$ |
\(y^2=x^3+x^2-1505x-46305\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[(63, 336)]$ |
| 193200.fo2 |
193200gg2 |
193200.fo |
193200gg |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$2.862095694$ |
$1$ |
|
$5$ |
$786432$ |
$1.419661$ |
$-5756278756/10498005$ |
$0.84099$ |
$3.32623$ |
$[0, 1, 0, -9408, -718812]$ |
\(y^2=x^3+x^2-9408x-718812\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[(144, 966)]$ |
| 270480.jx2 |
270480jx2 |
270480.jx |
270480jx |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1572864$ |
$1.587896$ |
$-5756278756/10498005$ |
$0.84099$ |
$3.39815$ |
$[0, 1, 0, -18440, 1957668]$ |
\(y^2=x^3+x^2-18440x+1957668\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[]$ |
| 289800.ff2 |
289800ff2 |
289800.ff |
289800ff |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{7} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3145728$ |
$1.968967$ |
$-5756278756/10498005$ |
$0.84099$ |
$3.74310$ |
$[0, 0, 0, -84675, -19323250]$ |
\(y^2=x^3-84675x-19323250\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[]$ |
| 405720.dn2 |
405720dn2 |
405720.dn |
405720dn |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5 \cdot 7^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6291456$ |
$2.137203$ |
$-5756278756/10498005$ |
$0.84099$ |
$3.80191$ |
$[0, 0, 0, -165963, 53022998]$ |
\(y^2=x^3-165963x+53022998\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[]$ |
| 444360.ct2 |
444360ct2 |
444360.ct |
444360ct |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$7.480870281$ |
$1$ |
|
$1$ |
$8650752$ |
$2.182690$ |
$-5756278756/10498005$ |
$0.84099$ |
$3.81728$ |
$[0, 1, 0, -199080, -69727392]$ |
\(y^2=x^3+x^2-199080x-69727392\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[(211812/13, 89271924/13)]$ |
| 463680.e2 |
463680e2 |
463680.e |
463680e |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{16} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2097152$ |
$1.510822$ |
$-5756278756/10498005$ |
$0.84099$ |
$3.18688$ |
$[0, 0, 0, -13548, -1236688]$ |
\(y^2=x^3-13548x-1236688\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[]$ |
| 463680.hh2 |
463680hh2 |
463680.hh |
463680hh |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{16} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1.395114033$ |
$1$ |
|
$7$ |
$2097152$ |
$1.510822$ |
$-5756278756/10498005$ |
$0.84099$ |
$3.18688$ |
$[0, 0, 0, -13548, 1236688]$ |
\(y^2=x^3-13548x+1236688\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[(-94, 1296)]$ |
