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 |
4830.y1 |
4830z1 |
4830.y |
4830z |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$0.329796816$ |
$1$ |
|
$11$ |
$3072$ |
$0.277875$ |
$1626794704081/83462400$ |
$0.88233$ |
$3.31474$ |
$[1, 1, 1, -245, 1307]$ |
\(y^2+xy+y=x^3+x^2-245x+1307\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[(-3, 46)]$ |
14490.q1 |
14490q1 |
14490.q |
14490q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$2.516472112$ |
$1$ |
|
$5$ |
$24576$ |
$0.827182$ |
$1626794704081/83462400$ |
$0.88233$ |
$3.62264$ |
$[1, -1, 0, -2205, -37499]$ |
\(y^2+xy=x^3-x^2-2205x-37499\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[(-27, 56)]$ |
24150.w1 |
24150z1 |
24150.w |
24150z |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 7 \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$0.970794957$ |
$1$ |
|
$21$ |
$73728$ |
$1.082594$ |
$1626794704081/83462400$ |
$0.88233$ |
$3.74298$ |
$[1, 0, 1, -6126, 175648]$ |
\(y^2+xy+y=x^3-6126x+175648\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[(62, 156), (32, 96)]$ |
33810.cs1 |
33810da1 |
33810.cs |
33810da |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$0.311775523$ |
$1$ |
|
$13$ |
$147456$ |
$1.250830$ |
$1626794704081/83462400$ |
$0.88233$ |
$3.81580$ |
$[1, 0, 0, -12006, -484380]$ |
\(y^2+xy=x^3-12006x-484380\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[(-66, 180)]$ |
38640.cv1 |
38640cv1 |
38640.cv |
38640cv |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$0.971023$ |
$1626794704081/83462400$ |
$0.88233$ |
$3.44965$ |
$[0, 1, 0, -3920, -91500]$ |
\(y^2=x^3+x^2-3920x-91500\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[]$ |
72450.du1 |
72450dy1 |
72450.du |
72450dy |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{8} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.631901$ |
$1626794704081/83462400$ |
$0.88233$ |
$3.96455$ |
$[1, -1, 1, -55130, -4742503]$ |
\(y^2+xy+y=x^3-x^2-55130x-4742503\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[]$ |
101430.cr1 |
101430ci1 |
101430.cr |
101430ci |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$1.800137$ |
$1626794704081/83462400$ |
$0.88233$ |
$4.02397$ |
$[1, -1, 0, -108054, 13078260]$ |
\(y^2+xy=x^3-x^2-108054x+13078260\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[]$ |
111090.bs1 |
111090bs1 |
111090.bs |
111090bs |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$2.156429785$ |
$1$ |
|
$5$ |
$1622016$ |
$1.845623$ |
$1626794704081/83462400$ |
$0.88233$ |
$4.03944$ |
$[1, 1, 1, -129616, -17200591]$ |
\(y^2+xy+y=x^3+x^2-129616x-17200591\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[(-211, 1005)]$ |
115920.c1 |
115920dg1 |
115920.c |
115920dg |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{20} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.520329$ |
$1626794704081/83462400$ |
$0.88233$ |
$3.68994$ |
$[0, 0, 0, -35283, 2435218]$ |
\(y^2=x^3-35283x+2435218\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[]$ |
154560.a1 |
154560dl1 |
154560.a |
154560dl |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{26} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$5.394016094$ |
$1$ |
|
$13$ |
$589824$ |
$1.317596$ |
$1626794704081/83462400$ |
$0.88233$ |
$3.39748$ |
$[0, -1, 0, -15681, -716319]$ |
\(y^2=x^3-x^2-15681x-716319\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[(-69, 180), (-64, 145)]$ |
154560.ge1 |
154560fj1 |
154560.ge |
154560fj |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{26} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.317596$ |
$1626794704081/83462400$ |
$0.88233$ |
$3.39748$ |
$[0, 1, 0, -15681, 716319]$ |
\(y^2=x^3+x^2-15681x+716319\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[]$ |
169050.a1 |
169050hy1 |
169050.a |
169050hy |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$2.055550$ |
$1626794704081/83462400$ |
$0.88233$ |
$4.10782$ |
$[1, 1, 0, -300150, -60547500]$ |
\(y^2+xy=x^3+x^2-300150x-60547500\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[]$ |
193200.dn1 |
193200eh1 |
193200.dn |
193200eh |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{8} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$1.775742$ |
$1626794704081/83462400$ |
$0.88233$ |
$3.78689$ |
$[0, -1, 0, -98008, -11241488]$ |
\(y^2=x^3-x^2-98008x-11241488\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[]$ |
270480.ch1 |
270480ch1 |
270480.ch |
270480ch |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{2} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1.891209981$ |
$1$ |
|
$7$ |
$3538944$ |
$1.943977$ |
$1626794704081/83462400$ |
$0.88233$ |
$3.84642$ |
$[0, -1, 0, -192096, 31000320]$ |
\(y^2=x^3-x^2-192096x+31000320\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[(306, 882)]$ |
333270.bk1 |
333270bk1 |
333270.bk |
333270bk |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12976128$ |
$2.394928$ |
$1626794704081/83462400$ |
$0.88233$ |
$4.20881$ |
$[1, -1, 0, -1166544, 463249408]$ |
\(y^2+xy=x^3-x^2-1166544x+463249408\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[]$ |
463680.kt1 |
463680kt1 |
463680.kt |
463680kt |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{26} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$5.662286225$ |
$1$ |
|
$3$ |
$4718592$ |
$1.866903$ |
$1626794704081/83462400$ |
$0.88233$ |
$3.61663$ |
$[0, 0, 0, -141132, 19481744]$ |
\(y^2=x^3-141132x+19481744\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[(-427, 1375)]$ |
463680.kw1 |
463680kw1 |
463680.kw |
463680kw |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{26} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4718592$ |
$1.866903$ |
$1626794704081/83462400$ |
$0.88233$ |
$3.61663$ |
$[0, 0, 0, -141132, -19481744]$ |
\(y^2=x^3-141132x-19481744\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[]$ |