| 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.b2 |
2442b2 |
2442.b |
2442b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2 \cdot 3^{14} \cdot 11^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$3.663890130$ |
$1$ |
|
$4$ |
$2688$ |
$0.719215$ |
$-133667977897/42826704426$ |
$0.98850$ |
$4.09418$ |
$[1, 1, 0, -106, -10010]$ |
\(y^2+xy=x^3+x^2-106x-10010\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[(23, 8)]$ |
| 7326.l2 |
7326h2 |
7326.l |
7326h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( - 2 \cdot 3^{20} \cdot 11^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$21504$ |
$1.268522$ |
$-133667977897/42826704426$ |
$0.98850$ |
$4.32946$ |
$[1, -1, 1, -959, 269313]$ |
\(y^2+xy+y=x^3-x^2-959x+269313\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[]$ |
| 19536.s2 |
19536bc2 |
19536.s |
19536bc |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{13} \cdot 3^{14} \cdot 11^{2} \cdot 37 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$0.566959843$ |
$1$ |
|
$29$ |
$64512$ |
$1.412363$ |
$-133667977897/42826704426$ |
$0.98850$ |
$4.07436$ |
$[0, 1, 0, -1704, 637236]$ |
\(y^2=x^3+x^2-1704x+637236\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[(6, 792), (-60, 726)]$ |
| 26862.l2 |
26862n2 |
26862.l |
26862n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 37 \) |
\( - 2 \cdot 3^{14} \cdot 11^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$322560$ |
$1.918163$ |
$-133667977897/42826704426$ |
$0.98850$ |
$4.54228$ |
$[1, 1, 1, -12889, 13258961]$ |
\(y^2+xy+y=x^3+x^2-12889x+13258961\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[]$ |
| 58608.bh2 |
58608bp2 |
58608.bh |
58608bp |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( - 2^{13} \cdot 3^{20} \cdot 11^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$10.23423592$ |
$1$ |
|
$1$ |
$516096$ |
$1.961668$ |
$-133667977897/42826704426$ |
$0.98850$ |
$4.26705$ |
$[0, 0, 0, -15339, -17220710]$ |
\(y^2=x^3-15339x-17220710\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[(21457/6, 2940895/6)]$ |
| 61050.ck2 |
61050ch2 |
61050.ck |
61050ch |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( - 2 \cdot 3^{14} \cdot 5^{6} \cdot 11^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$344064$ |
$1.523933$ |
$-133667977897/42826704426$ |
$0.98850$ |
$3.77456$ |
$[1, 0, 0, -2663, -1245933]$ |
\(y^2+xy=x^3-2663x-1245933\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[]$ |
| 78144.bg2 |
78144cd2 |
78144.bg |
78144cd |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{19} \cdot 3^{14} \cdot 11^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$9.793129097$ |
$1$ |
|
$1$ |
$516096$ |
$1.758936$ |
$-133667977897/42826704426$ |
$0.98850$ |
$3.94216$ |
$[0, -1, 0, -6817, 5104705]$ |
\(y^2=x^3-x^2-6817x+5104705\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[(-15661/11, 2595300/11)]$ |
| 78144.cz2 |
78144x2 |
78144.cz |
78144x |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{19} \cdot 3^{14} \cdot 11^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$1.758936$ |
$-133667977897/42826704426$ |
$0.98850$ |
$3.94216$ |
$[0, 1, 0, -6817, -5104705]$ |
\(y^2=x^3+x^2-6817x-5104705\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[]$ |
| 80586.p2 |
80586o2 |
80586.p |
80586o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2 \cdot 3^{20} \cdot 11^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2580480$ |
$2.467468$ |
$-133667977897/42826704426$ |
$0.98850$ |
$4.68404$ |
$[1, -1, 0, -116001, -358107953]$ |
\(y^2+xy=x^3-x^2-116001x-358107953\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[]$ |
| 90354.q2 |
90354p2 |
90354.q |
90354p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 37^{2} \) |
\( - 2 \cdot 3^{14} \cdot 11^{2} \cdot 37^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$72.45877703$ |
$1$ |
|
$0$ |
$3677184$ |
$2.524673$ |
$-133667977897/42826704426$ |
$0.98850$ |
$4.69724$ |
$[1, 1, 1, -145827, -504852789]$ |
\(y^2+xy+y=x^3+x^2-145827x-504852789\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[(803429960584021825326124515311333/717426752413492, 20184833934116683605318900729489125223594742335333/717426752413492)]$ |
| 119658.bx2 |
119658bv2 |
119658.bx |
119658bv |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \) |
\( - 2 \cdot 3^{14} \cdot 7^{6} \cdot 11^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$1.707714158$ |
$1$ |
|
$4$ |
$967680$ |
$1.692171$ |
$-133667977897/42826704426$ |
$0.98850$ |
$3.72998$ |
$[1, 0, 1, -5220, 3417796]$ |
\(y^2+xy+y=x^3-5220x+3417796\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[(20, 1812)]$ |
| 183150.bc2 |
183150ec2 |
183150.bc |
183150ec |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( - 2 \cdot 3^{20} \cdot 5^{6} \cdot 11^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2752512$ |
$2.073242$ |
$-133667977897/42826704426$ |
$0.98850$ |
$3.97632$ |
$[1, -1, 0, -23967, 33640191]$ |
\(y^2+xy=x^3-x^2-23967x+33640191\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[]$ |
| 214896.bu2 |
214896d2 |
214896.bu |
214896d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \) |
\( - 2^{13} \cdot 3^{14} \cdot 11^{8} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$4.659544846$ |
$1$ |
|
$3$ |
$7741440$ |
$2.611309$ |
$-133667977897/42826704426$ |
$0.98850$ |
$4.45044$ |
$[0, 1, 0, -206224, -848985964]$ |
\(y^2=x^3+x^2-206224x-848985964\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[(3935, 243486)]$ |
| 234432.q2 |
234432q2 |
234432.q |
234432q |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( - 2^{19} \cdot 3^{20} \cdot 11^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$7.409324447$ |
$1$ |
|
$1$ |
$4128768$ |
$2.308243$ |
$-133667977897/42826704426$ |
$0.98850$ |
$4.12500$ |
$[0, 0, 0, -61356, -137765680]$ |
\(y^2=x^3-61356x-137765680\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[(10513/4, 657657/4)]$ |
| 234432.bi2 |
234432bi2 |
234432.bi |
234432bi |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( - 2^{19} \cdot 3^{20} \cdot 11^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$10.03443028$ |
$1$ |
|
$1$ |
$4128768$ |
$2.308243$ |
$-133667977897/42826704426$ |
$0.98850$ |
$4.12500$ |
$[0, 0, 0, -61356, 137765680]$ |
\(y^2=x^3-61356x+137765680\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[(-27228/7, 182344/7)]$ |
| 271062.e2 |
271062e2 |
271062.e |
271062e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 37^{2} \) |
\( - 2 \cdot 3^{20} \cdot 11^{2} \cdot 37^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$29417472$ |
$3.073982$ |
$-133667977897/42826704426$ |
$0.98850$ |
$4.81164$ |
$[1, -1, 0, -1312443, 13629712855]$ |
\(y^2+xy=x^3-x^2-1312443x+13629712855\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[]$ |
| 358974.db2 |
358974db2 |
358974.db |
358974db |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 37 \) |
\( - 2 \cdot 3^{20} \cdot 7^{6} \cdot 11^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$20.90536265$ |
$1$ |
|
$0$ |
$7741440$ |
$2.241478$ |
$-133667977897/42826704426$ |
$0.98850$ |
$3.92495$ |
$[1, -1, 1, -46976, -92280499]$ |
\(y^2+xy+y=x^3-x^2-46976x-92280499\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[(725967757/1204, 4971814397227/1204)]$ |
| 412698.bz2 |
412698bz2 |
412698.bz |
412698bz |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 37 \) |
\( - 2 \cdot 3^{14} \cdot 11^{2} \cdot 13^{6} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5160960$ |
$2.001690$ |
$-133667977897/42826704426$ |
$0.98850$ |
$3.66009$ |
$[1, 1, 1, -18002, -21902119]$ |
\(y^2+xy+y=x^3+x^2-18002x-21902119\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[]$ |
| 488400.cv2 |
488400cv2 |
488400.cv |
488400cv |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( - 2^{13} \cdot 3^{14} \cdot 5^{6} \cdot 11^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8257536$ |
$2.217083$ |
$-133667977897/42826704426$ |
$0.98850$ |
$3.81035$ |
$[0, -1, 0, -42608, 79739712]$ |
\(y^2=x^3-x^2-42608x+79739712\) |
2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.? |
$[]$ |
