| 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.i4 |
9338h1 |
9338.i |
9338h |
$4$ |
$4$ |
\( 2 \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{16} \cdot 7 \cdot 23^{4} \cdot 29^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$38400$ |
$1.509073$ |
$-10090256344188054273/107965577101312$ |
$1.00891$ |
$4.78858$ |
$[1, -1, 1, -45019, 3721611]$ |
\(y^2+xy+y=x^3-x^2-45019x+3721611\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, 184.24.0.?, $\ldots$ |
$[]$ |
| 65366.q4 |
65366t1 |
65366.q |
65366t |
$4$ |
$4$ |
\( 2 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( - 2^{16} \cdot 7^{7} \cdot 23^{4} \cdot 29^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1288$ |
$48$ |
$0$ |
$3.355016317$ |
$1$ |
|
$9$ |
$1843200$ |
$2.482029$ |
$-10090256344188054273/107965577101312$ |
$1.00891$ |
$5.00118$ |
$[1, -1, 1, -2205916, -1272100833]$ |
\(y^2+xy+y=x^3-x^2-2205916x-1272100833\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, 184.24.0.?, $\ldots$ |
$[(3189, 153701)]$ |
| 74704.n4 |
74704s1 |
74704.n |
74704s |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{28} \cdot 7 \cdot 23^{4} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$921600$ |
$2.202221$ |
$-10090256344188054273/107965577101312$ |
$1.00891$ |
$4.64244$ |
$[0, 0, 0, -720299, -237462822]$ |
\(y^2=x^3-720299x-237462822\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 14.6.0.b.1, 28.24.0-28.g.1.1, 184.24.0.?, $\ldots$ |
$[]$ |
| 84042.f4 |
84042l1 |
84042.f |
84042l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{16} \cdot 3^{6} \cdot 7 \cdot 23^{4} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1228800$ |
$2.058380$ |
$-10090256344188054273/107965577101312$ |
$1.00891$ |
$4.44199$ |
$[1, -1, 0, -405168, -100078336]$ |
\(y^2+xy=x^3-x^2-405168x-100078336\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
| 214774.o4 |
214774e1 |
214774.o |
214774e |
$4$ |
$4$ |
\( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) |
\( - 2^{16} \cdot 7 \cdot 23^{10} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1288$ |
$48$ |
$0$ |
$6.722932132$ |
$1$ |
|
$3$ |
$20275200$ |
$3.076820$ |
$-10090256344188054273/107965577101312$ |
$1.00891$ |
$5.09796$ |
$[1, -1, 1, -23814886, -45137954955]$ |
\(y^2+xy+y=x^3-x^2-23814886x-45137954955\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(254409, 128170107)]$ |
| 233450.u4 |
233450u1 |
233450.u |
233450u |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{16} \cdot 5^{6} \cdot 7 \cdot 23^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$3.790069285$ |
$1$ |
|
$1$ |
$4915200$ |
$2.313793$ |
$-10090256344188054273/107965577101312$ |
$1.00891$ |
$4.32281$ |
$[1, -1, 0, -1125467, 464075941]$ |
\(y^2+xy=x^3-x^2-1125467x+464075941\) |
2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 20.12.0-4.c.1.2, 28.12.0.g.1, $\ldots$ |
$[(5350/3, 51367/3)]$ |
| 270802.f4 |
270802f1 |
270802.f |
270802f |
$4$ |
$4$ |
\( 2 \cdot 7 \cdot 23 \cdot 29^{2} \) |
\( - 2^{16} \cdot 7 \cdot 23^{4} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37352$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32256000$ |
$3.192722$ |
$-10090256344188054273/107965577101312$ |
$1.00891$ |
$5.11467$ |
$[1, -1, 0, -37860716, 90501352144]$ |
\(y^2+xy=x^3-x^2-37860716x+90501352144\) |
2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 116.12.0.?, $\ldots$ |
$[]$ |
| 298816.u4 |
298816u1 |
298816.u |
298816u |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{34} \cdot 7 \cdot 23^{4} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1288$ |
$48$ |
$0$ |
$5.728874084$ |
$1$ |
|
$11$ |
$7372800$ |
$2.548794$ |
$-10090256344188054273/107965577101312$ |
$1.00891$ |
$4.46184$ |
$[0, 0, 0, -2881196, 1899702576]$ |
\(y^2=x^3-2881196x+1899702576\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(-904, 61364), (1764, 48024)]$ |
| 298816.bc4 |
298816bc1 |
298816.bc |
298816bc |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{34} \cdot 7 \cdot 23^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1288$ |
$48$ |
$0$ |
$25.00242416$ |
$1$ |
|
$1$ |
$7372800$ |
$2.548794$ |
$-10090256344188054273/107965577101312$ |
$1.00891$ |
$4.46184$ |
$[0, 0, 0, -2881196, -1899702576]$ |
\(y^2=x^3-2881196x-1899702576\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(685546247276/9673, 550763252810114624/9673)]$ |
