| 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 |
| 4290.s1 |
4290q2 |
4290.s |
4290q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$0.300896246$ |
$1$ |
|
$8$ |
$6144$ |
$0.891163$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.41009$ |
$[1, 1, 1, -4556, 116093]$ |
\(y^2+xy+y=x^3+x^2-4556x+116093\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[(27, 103)]$ |
| 12870.r1 |
12870ba2 |
12870.r |
12870ba |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 5 \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$0.886898125$ |
$1$ |
|
$6$ |
$49152$ |
$1.440470$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.59468$ |
$[1, -1, 0, -41004, -3175520]$ |
\(y^2+xy=x^3-x^2-41004x-3175520\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[(-121, 2)]$ |
| 21450.be1 |
21450v2 |
21450.be |
21450v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{7} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147456$ |
$1.695883$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.66666$ |
$[1, 0, 1, -113901, 14739448]$ |
\(y^2+xy+y=x^3-113901x+14739448\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[]$ |
| 34320.bt1 |
34320by2 |
34320.bt |
34320by |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{16} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$4.250716147$ |
$1$ |
|
$1$ |
$147456$ |
$1.584311$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.32844$ |
$[0, 1, 0, -72896, -7575756]$ |
\(y^2=x^3+x^2-72896x-7575756\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[(2884/3, 38870/3)]$ |
| 47190.e1 |
47190c2 |
47190.e |
47190c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$737280$ |
$2.090111$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.76435$ |
$[1, 1, 0, -551278, -157276412]$ |
\(y^2+xy=x^3+x^2-551278x-157276412\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[]$ |
| 55770.q1 |
55770p2 |
55770.q |
55770p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$3.526602726$ |
$1$ |
|
$2$ |
$1032192$ |
$2.173637$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.78323$ |
$[1, 1, 0, -769967, 258906549]$ |
\(y^2+xy=x^3+x^2-769967x+258906549\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[(5, 15968)]$ |
| 64350.eq1 |
64350eg2 |
64350.eq |
64350eg |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{7} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1179648$ |
$2.245190$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.79896$ |
$[1, -1, 1, -1025105, -397965103]$ |
\(y^2+xy+y=x^3-x^2-1025105x-397965103\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[]$ |
| 102960.eb1 |
102960ed2 |
102960.eb |
102960ed |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{16} \cdot 3^{8} \cdot 5 \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1.966107554$ |
$1$ |
|
$5$ |
$1179648$ |
$2.133617$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.48754$ |
$[0, 0, 0, -656067, 203889346]$ |
\(y^2=x^3-656067x+203889346\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[(95, 11934)]$ |
| 137280.dd1 |
137280cq2 |
137280.dd |
137280cq |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{22} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$18.70594674$ |
$1$ |
|
$1$ |
$1179648$ |
$1.930883$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.17276$ |
$[0, -1, 0, -291585, -60314463]$ |
\(y^2=x^3-x^2-291585x-60314463\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[(177612163/533, 177227279748/533)]$ |
| 137280.gc1 |
137280ef2 |
137280.gc |
137280ef |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{22} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$1.930883$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.17276$ |
$[0, 1, 0, -291585, 60314463]$ |
\(y^2=x^3+x^2-291585x+60314463\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[]$ |
| 141570.eq1 |
141570u2 |
141570.eq |
141570u |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 5 \cdot 11^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$2.100646470$ |
$1$ |
|
$4$ |
$5898240$ |
$2.639416$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.87880$ |
$[1, -1, 1, -4961507, 4241501619]$ |
\(y^2+xy+y=x^3-x^2-4961507x+4241501619\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[(1499, 12318)]$ |
| 167310.dw1 |
167310bp2 |
167310.dw |
167310bp |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5 \cdot 11 \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1.950937156$ |
$4$ |
$2$ |
$6$ |
$8257536$ |
$2.722942$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.89437$ |
$[1, -1, 1, -6929708, -6997406529]$ |
\(y^2+xy+y=x^3-x^2-6929708x-6997406529\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[(-1537, 5331)]$ |
| 171600.bh1 |
171600dz2 |
171600.bh |
171600dz |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{7} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$8.622372011$ |
$1$ |
|
$1$ |
$3538944$ |
$2.389030$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.55164$ |
$[0, -1, 0, -1822408, -943324688]$ |
\(y^2=x^3-x^2-1822408x-943324688\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[(48538/3, 10318850/3)]$ |
| 210210.ex1 |
210210r2 |
210210.ex |
210210r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{6} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$8.807577682$ |
$1$ |
|
$0$ |
$2211840$ |
$1.864119$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$3.96232$ |
$[1, 0, 0, -223245, -40489695]$ |
\(y^2+xy=x^3-223245x-40489695\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[(8788/3, 687127/3)]$ |
| 235950.hp1 |
235950hp2 |
235950.hp |
235950hp |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{7} \cdot 11^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$3.818014515$ |
$1$ |
|
$2$ |
$17694720$ |
$2.894829$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.92510$ |
$[1, 0, 0, -13781963, -19631987583]$ |
\(y^2+xy=x^3-13781963x-19631987583\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[(-2132, 8905)]$ |
| 278850.hv1 |
278850hv2 |
278850.hv |
278850hv |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{7} \cdot 11 \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24772608$ |
$2.978355$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.93942$ |
$[1, 0, 0, -19249188, 32401816992]$ |
\(y^2+xy=x^3-19249188x+32401816992\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[]$ |
| 377520.ee1 |
377520ee2 |
377520.ee |
377520ee |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{2} \cdot 5 \cdot 11^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$17694720$ |
$2.783257$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.64057$ |
$[0, 1, 0, -8820456, 10048049460]$ |
\(y^2=x^3+x^2-8820456x+10048049460\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[]$ |
| 411840.bk1 |
411840bk2 |
411840.bk |
411840bk |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{22} \cdot 3^{8} \cdot 5 \cdot 11 \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$14.22140186$ |
$1$ |
|
$9$ |
$9437184$ |
$2.480190$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.32804$ |
$[0, 0, 0, -2624268, -1631114768]$ |
\(y^2=x^3-2624268x-1631114768\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[(-898, 1152), (-47458/7, 489600/7)]$ |
| 411840.fc1 |
411840fc2 |
411840.fc |
411840fc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{22} \cdot 3^{8} \cdot 5 \cdot 11 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$9437184$ |
$2.480190$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.32804$ |
$[0, 0, 0, -2624268, 1631114768]$ |
\(y^2=x^3-2624268x+1631114768\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[]$ |
| 446160.ho1 |
446160ho2 |
446160.ho |
446160ho |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$24772608$ |
$2.866787$ |
$10458774902616769/38228327280$ |
$0.94340$ |
$4.65803$ |
$[0, 1, 0, -12319480, -16594658092]$ |
\(y^2=x^3+x^2-12319480x-16594658092\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[]$ |
