| 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.u2 |
4830u2 |
4830.u |
4830u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{14} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34944$ |
$1.735996$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$5.48304$ |
$[1, 1, 1, -112006, 14511419]$ |
\(y^2+xy+y=x^3+x^2-112006x+14511419\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[]$ |
| 14490.bc2 |
14490w2 |
14490.bc |
14490w |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{14} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$279552$ |
$2.285301$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$5.54232$ |
$[1, -1, 0, -1008054, -392816372]$ |
\(y^2+xy=x^3-x^2-1008054x-392816372\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[]$ |
| 24150.z2 |
24150y2 |
24150.z |
24150y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{20} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$838656$ |
$2.540714$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$5.56548$ |
$[1, 0, 1, -2800151, 1819527698]$ |
\(y^2+xy+y=x^3-2800151x+1819527698\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[]$ |
| 33810.df2 |
33810dh2 |
33810.df |
33810dh |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{14} \cdot 7^{7} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1677312$ |
$2.708950$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$5.57950$ |
$[1, 0, 0, -5488295, -4993881663]$ |
\(y^2+xy=x^3-5488295x-4993881663\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[]$ |
| 38640.cb2 |
38640cj2 |
38640.cb |
38640cj |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{15} \cdot 3^{2} \cdot 5^{14} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$13.19406771$ |
$1$ |
|
$1$ |
$838656$ |
$2.429142$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$5.19106$ |
$[0, 1, 0, -1792096, -932315020]$ |
\(y^2=x^3+x^2-1792096x-932315020\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(11993146/83, 20030096112/83)]$ |
| 72450.ct2 |
72450du2 |
72450.ct |
72450du |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{20} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$6709248$ |
$3.090023$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$5.60814$ |
$[1, -1, 1, -25201355, -49127247853]$ |
\(y^2+xy+y=x^3-x^2-25201355x-49127247853\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[]$ |
| 101430.n2 |
101430u2 |
101430.n |
101430u |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{14} \cdot 7^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$4.714318612$ |
$1$ |
|
$2$ |
$13418496$ |
$3.258259$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$5.61958$ |
$[1, -1, 0, -49394655, 134834804901]$ |
\(y^2+xy=x^3-x^2-49394655x+134834804901\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(5217, 135645)]$ |
| 111090.ce2 |
111090cc2 |
111090.ce |
111090cc |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{14} \cdot 7 \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18450432$ |
$3.303741$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$5.62256$ |
$[1, 1, 1, -59251185, -177152948985]$ |
\(y^2+xy+y=x^3+x^2-59251185x-177152948985\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[]$ |
| 115920.dk2 |
115920ek2 |
115920.dk |
115920ek |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{15} \cdot 3^{8} \cdot 5^{14} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1.011288954$ |
$1$ |
|
$5$ |
$6709248$ |
$2.978451$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$5.26728$ |
$[0, 0, 0, -16128867, 25156376674]$ |
\(y^2=x^3-16128867x+25156376674\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(983, 101250)]$ |
| 154560.cn2 |
154560cv2 |
154560.cn |
154560cv |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{21} \cdot 3^{2} \cdot 5^{14} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$2.398478855$ |
$1$ |
|
$3$ |
$6709248$ |
$2.775719$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$4.93685$ |
$[0, -1, 0, -7168385, -7451351775]$ |
\(y^2=x^3-x^2-7168385x-7451351775\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(9845, 936000)]$ |
| 154560.hr2 |
154560dz2 |
154560.hr |
154560dz |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{21} \cdot 3^{2} \cdot 5^{14} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1.047150349$ |
$1$ |
|
$7$ |
$6709248$ |
$2.775719$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$4.93685$ |
$[0, 1, 0, -7168385, 7451351775]$ |
\(y^2=x^3+x^2-7168385x+7451351775\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(-1845, 120000)]$ |
| 169050.bh2 |
169050ir2 |
169050.bh |
169050ir |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{20} \cdot 7^{7} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$40255488$ |
$3.513672$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$5.63572$ |
$[1, 1, 0, -137207375, -624235207875]$ |
\(y^2+xy=x^3+x^2-137207375x-624235207875\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[]$ |
| 193200.cd2 |
193200dr2 |
193200.cd |
193200dr |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{15} \cdot 3^{2} \cdot 5^{20} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$20127744$ |
$3.233864$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$5.29803$ |
$[0, -1, 0, -44802408, -116449772688]$ |
\(y^2=x^3-x^2-44802408x-116449772688\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[]$ |
| 270480.dj2 |
270480dj2 |
270480.dj |
270480dj |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{15} \cdot 3^{2} \cdot 5^{14} \cdot 7^{7} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$0.638124311$ |
$1$ |
|
$29$ |
$40255488$ |
$3.402100$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$5.31691$ |
$[0, -1, 0, -87812720, 319608426432]$ |
\(y^2=x^3-x^2-87812720x+319608426432\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(7544, 294000), (10904, 811440)]$ |
| 333270.r2 |
333270r2 |
333270.r |
333270r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{14} \cdot 7 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$12.36593619$ |
$1$ |
|
$0$ |
$147603456$ |
$3.853050$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$5.65517$ |
$[1, -1, 0, -533260665, 4782596361925]$ |
\(y^2+xy=x^3-x^2-533260665x+4782596361925\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(25860201/11, 130626719924/11)]$ |
| 463680.bj2 |
463680bj2 |
463680.bj |
463680bj |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{21} \cdot 3^{8} \cdot 5^{14} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$53673984$ |
$3.325024$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$5.02637$ |
$[0, 0, 0, -64515468, 201251013392]$ |
\(y^2=x^3-64515468x+201251013392\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[]$ |
| 463680.fc2 |
463680fc2 |
463680.fc |
463680fc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{21} \cdot 3^{8} \cdot 5^{14} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$20.20024912$ |
$1$ |
|
$1$ |
$53673984$ |
$3.325024$ |
$-155398856216042825569/1627294921875000$ |
$0.98465$ |
$5.02637$ |
$[0, 0, 0, -64515468, -201251013392]$ |
\(y^2=x^3-64515468x-201251013392\) |
2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.? |
$[(6011014388/179, 465603898213656/179)]$ |
