| 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 |
| 2442.a1 |
2442c3 |
2442.a |
2442c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3 \cdot 11^{4} \cdot 37^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$2.943767435$ |
$1$ |
|
$4$ |
$61440$ |
$2.159309$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$7.46515$ |
$[1, 1, 0, -5607426, 5108517876]$ |
\(y^2+xy=x^3+x^2-5607426x+5108517876\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 88.24.0.?, 264.48.0.? |
$[(-1276, 101574)]$ |
| 7326.k1 |
7326i3 |
7326.k |
7326i |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3^{7} \cdot 11^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$491520$ |
$2.708614$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$7.28427$ |
$[1, -1, 1, -50466839, -137980449489]$ |
\(y^2+xy+y=x^3-x^2-50466839x-137980449489\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 88.24.0.?, 264.48.0.? |
$[]$ |
| 19536.u1 |
19536bd3 |
19536.u |
19536bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{20} \cdot 3 \cdot 11^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$1$ |
$1474560$ |
$2.852459$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$6.73584$ |
$[0, 1, 0, -89718824, -327124581708]$ |
\(y^2=x^3+x^2-89718824x-327124581708\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 88.24.0.?, 264.48.0.? |
$[]$ |
| 26862.m1 |
26862o4 |
26862.m |
26862o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 37 \) |
\( 2^{8} \cdot 3 \cdot 11^{10} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$7372800$ |
$3.358257$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$7.12066$ |
$[1, 1, 1, -678498609, -6802829785905]$ |
\(y^2+xy+y=x^3+x^2-678498609x-6802829785905\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ |
$[]$ |
| 58608.bo1 |
58608bq4 |
58608.bo |
58608bq |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( 2^{20} \cdot 3^{7} \cdot 11^{4} \cdot 37^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$14.91615745$ |
$1$ |
|
$3$ |
$11796480$ |
$3.401764$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$6.66220$ |
$[0, 0, 0, -807469419, 8831556236698]$ |
\(y^2=x^3-807469419x+8831556236698\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 88.24.0.?, 264.48.0.? |
$[(295525114/87, 3996047485430/87)]$ |
| 61050.cz1 |
61050cj4 |
61050.cz |
61050cj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3 \cdot 5^{6} \cdot 11^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7864320$ |
$2.964027$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$6.16084$ |
$[1, 0, 0, -140185663, 638845105817]$ |
\(y^2+xy=x^3-140185663x+638845105817\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.2, 60.24.0-12.h.1.2, $\ldots$ |
$[]$ |
| 78144.bl1 |
78144ce4 |
78144.bl |
78144ce |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{26} \cdot 3 \cdot 11^{4} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$25.98524012$ |
$1$ |
|
$1$ |
$11796480$ |
$3.199032$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$6.27615$ |
$[0, -1, 0, -358875297, -2616637778367]$ |
\(y^2=x^3-x^2-358875297x-2616637778367\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[(200217668925061/49251, 2750624362569598552576/49251)]$ |
| 78144.cu1 |
78144y4 |
78144.cu |
78144y |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{26} \cdot 3 \cdot 11^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11796480$ |
$3.199032$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$6.27615$ |
$[0, 1, 0, -358875297, 2616637778367]$ |
\(y^2=x^3+x^2-358875297x+2616637778367\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0.h.1, 24.24.0-12.h.1.1, $\ldots$ |
$[]$ |
| 80586.q1 |
80586p4 |
80586.q |
80586p |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{7} \cdot 11^{10} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$58982400$ |
$3.907562$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$7.01168$ |
$[1, -1, 0, -6106487481, 183670297731949]$ |
\(y^2+xy=x^3-x^2-6106487481x+183670297731949\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0.h.1, 24.24.0-12.h.1.4, $\ldots$ |
$[]$ |
| 90354.p1 |
90354q4 |
90354.p |
90354q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 37^{2} \) |
\( 2^{8} \cdot 3 \cdot 11^{4} \cdot 37^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9768$ |
$48$ |
$0$ |
$2.712559475$ |
$1$ |
|
$0$ |
$84049920$ |
$3.964767$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$7.00153$ |
$[1, 1, 1, -7676566907, 258876904472969]$ |
\(y^2+xy+y=x^3+x^2-7676566907x+258876904472969\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 148.12.0.?, $\ldots$ |
$[(418531/3, 41718098/3)]$ |
| 119658.bu1 |
119658bw4 |
119658.bu |
119658bw |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3 \cdot 7^{6} \cdot 11^{4} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$23.38605193$ |
$1$ |
|
$0$ |
$17694720$ |
$3.132267$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$5.97892$ |
$[1, 0, 1, -274763900, -1753045923142]$ |
\(y^2+xy+y=x^3-274763900x-1753045923142\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.2, 84.24.0.?, $\ldots$ |
$[(64181363536/1551, 11694439609888439/1551)]$ |
| 183150.cu1 |
183150ew4 |
183150.cu |
183150ew |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 11^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$62914560$ |
$3.513336$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$6.14626$ |
$[1, -1, 0, -1261670967, -17248817857059]$ |
\(y^2+xy=x^3-x^2-1261670967x-17248817857059\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[]$ |
| 214896.bs1 |
214896c3 |
214896.bs |
214896c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \) |
\( 2^{20} \cdot 3 \cdot 11^{10} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$12.91235228$ |
$1$ |
|
$1$ |
$176947200$ |
$4.051407$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$6.59213$ |
$[0, 1, 0, -10855977744, 435359394342420]$ |
\(y^2=x^3+x^2-10855977744x+435359394342420\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ |
$[(781787605/114, 665511785/114)]$ |
| 234432.m1 |
234432m4 |
234432.m |
234432m |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( 2^{26} \cdot 3^{7} \cdot 11^{4} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$14.53647825$ |
$1$ |
|
$1$ |
$94371840$ |
$3.748337$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$6.25162$ |
$[0, 0, 0, -3229877676, -70652449893584]$ |
\(y^2=x^3-3229877676x-70652449893584\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[(66549476/31, 183096775224/31)]$ |
| 234432.bj1 |
234432bj3 |
234432.bj |
234432bj |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( 2^{26} \cdot 3^{7} \cdot 11^{4} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$6.846253020$ |
$1$ |
|
$1$ |
$94371840$ |
$3.748337$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$6.25162$ |
$[0, 0, 0, -3229877676, 70652449893584]$ |
\(y^2=x^3-3229877676x+70652449893584\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0.h.1, 24.24.0-12.h.1.1, $\ldots$ |
$[(8396330/17, 5682423296/17)]$ |
| 271062.d1 |
271062d4 |
271062.d |
271062d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 37^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 11^{4} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9768$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$672399360$ |
$4.514076$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$6.91358$ |
$[1, -1, 0, -69089102163, -6989745509872331]$ |
\(y^2+xy=x^3-x^2-69089102163x-6989745509872331\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 148.12.0.?, $\ldots$ |
$[]$ |
| 358974.cu1 |
358974cu3 |
358974.cu |
358974cu |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 37 \) |
\( 2^{8} \cdot 3^{7} \cdot 7^{6} \cdot 11^{4} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$0.968713900$ |
$1$ |
|
$8$ |
$141557760$ |
$3.681572$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$5.98073$ |
$[1, -1, 1, -2472875096, 47332239924827]$ |
\(y^2+xy+y=x^3-x^2-2472875096x+47332239924827\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$ |
$[(28713, -13691)]$ |
| 412698.cd1 |
412698cd3 |
412698.cd |
412698cd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 37 \) |
\( 2^{8} \cdot 3 \cdot 11^{4} \cdot 13^{6} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$117964800$ |
$3.441784$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$5.69369$ |
$[1, 1, 1, -947655082, 11228152048823]$ |
\(y^2+xy+y=x^3+x^2-947655082x+11228152048823\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 52.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[]$ |
| 488400.e1 |
488400e4 |
488400.e |
488400e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( 2^{20} \cdot 3 \cdot 5^{6} \cdot 11^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$188743680$ |
$3.657177$ |
$19499096390516434897995817/15393430272$ |
$1.03382$ |
$5.81781$ |
$[0, -1, 0, -2242970608, -40886086772288]$ |
\(y^2=x^3-x^2-2242970608x-40886086772288\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[]$ |
