| 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 |
| 9338.i1 |
9338h4 |
9338.i |
9338h |
$4$ |
$4$ |
\( 2 \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{4} \cdot 7 \cdot 23 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$153600$ |
$2.202221$ |
$170586815436843383543017473/2166416$ |
$1.04644$ |
$6.60712$ |
$[1, -1, 1, -11554219, 15119657963]$ |
\(y^2+xy+y=x^3-x^2-11554219x+15119657963\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.z.1.10, $\ldots$ |
$[]$ |
| 65366.q1 |
65366t4 |
65366.q |
65366t |
$4$ |
$4$ |
\( 2 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( 2^{4} \cdot 7^{7} \cdot 23 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1288$ |
$48$ |
$0$ |
$13.42006527$ |
$4$ |
$2$ |
$0$ |
$7372800$ |
$3.175175$ |
$170586815436843383543017473/2166416$ |
$1.04644$ |
$6.50057$ |
$[1, -1, 1, -566156716, -5184910367969]$ |
\(y^2+xy+y=x^3-x^2-566156716x-5184910367969\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 184.24.0.?, 322.6.0.?, $\ldots$ |
$[(1223125/3, 1328562499/3)]$ |
| 74704.n1 |
74704s4 |
74704.n |
74704s |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{16} \cdot 7 \cdot 23 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$1$ |
$3686400$ |
$2.895367$ |
$170586815436843383543017473/2166416$ |
$1.04644$ |
$6.12399$ |
$[0, 0, 0, -184867499, -967473242150]$ |
\(y^2=x^3-184867499x-967473242150\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.2, 56.24.0-56.z.1.2, $\ldots$ |
$[]$ |
| 84042.f1 |
84042l4 |
84042.f |
84042l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{4} \cdot 3^{6} \cdot 7 \cdot 23 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4915200$ |
$2.751526$ |
$170586815436843383543017473/2166416$ |
$1.04644$ |
$5.90815$ |
$[1, -1, 0, -103987968, -408126777040]$ |
\(y^2+xy=x^3-x^2-103987968x-408126777040\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 84.12.0.?, $\ldots$ |
$[]$ |
| 214774.o1 |
214774e4 |
214774.o |
214774e |
$4$ |
$4$ |
\( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) |
\( 2^{4} \cdot 7 \cdot 23^{7} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1288$ |
$48$ |
$0$ |
$26.89172853$ |
$4$ |
$2$ |
$0$ |
$81100800$ |
$3.769970$ |
$170586815436843383543017473/2166416$ |
$1.04644$ |
$6.45207$ |
$[1, -1, 1, -6112181686, -183924205348939]$ |
\(y^2+xy+y=x^3-x^2-6112181686x-183924205348939\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.5, 184.24.0.?, 322.6.0.?, $\ldots$ |
$[(18710040316113/8489, 76647469720962038807/8489)]$ |
| 233450.u1 |
233450u3 |
233450.u |
233450u |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{4} \cdot 5^{6} \cdot 7 \cdot 23 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$3.790069285$ |
$1$ |
|
$0$ |
$19660800$ |
$3.006939$ |
$170586815436843383543017473/2166416$ |
$1.04644$ |
$5.66778$ |
$[1, -1, 0, -288855467, 1889668389941]$ |
\(y^2+xy=x^3-x^2-288855467x+1889668389941\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.z.1, 140.12.0.?, $\ldots$ |
$[(157013/4, -307849/4)]$ |
| 270802.f1 |
270802f3 |
270802.f |
270802f |
$4$ |
$4$ |
\( 2 \cdot 7 \cdot 23 \cdot 29^{2} \) |
\( 2^{4} \cdot 7 \cdot 23 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37352$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$129024000$ |
$3.885868$ |
$170586815436843383543017473/2166416$ |
$1.04644$ |
$6.44369$ |
$[1, -1, 0, -9717097916, 368685318380672]$ |
\(y^2+xy=x^3-x^2-9717097916x+368685318380672\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 184.12.0.?, 232.12.0.?, $\ldots$ |
$[]$ |
| 298816.u1 |
298816u3 |
298816.u |
298816u |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{22} \cdot 7 \cdot 23 \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1288$ |
$48$ |
$0$ |
$22.91549633$ |
$1$ |
|
$5$ |
$29491200$ |
$3.241943$ |
$170586815436843383543017473/2166416$ |
$1.04644$ |
$5.78048$ |
$[0, 0, 0, -739469996, 7739785937200]$ |
\(y^2=x^3-739469996x+7739785937200\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 56.24.0-56.z.1.1, 184.24.0.?, $\ldots$ |
$[(16278, 126208), (148024/3, 4412420/3)]$ |
| 298816.bc1 |
298816bc4 |
298816.bc |
298816bc |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{22} \cdot 7 \cdot 23 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1288$ |
$48$ |
$0$ |
$100.0096966$ |
$1$ |
|
$1$ |
$29491200$ |
$3.241943$ |
$170586815436843383543017473/2166416$ |
$1.04644$ |
$5.78048$ |
$[0, 0, 0, -739469996, -7739785937200]$ |
\(y^2=x^3-739469996x-7739785937200\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 56.24.0-56.z.1.9, 184.24.0.?, $\ldots$ |
$[(48663106587551232665916732828211282716955724/18925074914961971371, 332065287464507046480795680308033548614979826648771943380046256960/18925074914961971371)]$ |
